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200110242103344 = 24333734613617281
BaseRepresentation
bin101101011111111111001011…
…111001011000000000110000
3222020112100111211121011022000
4231133333023321120000300
5202212101233434301334
61545333213124214000
760102326226610566
oct5537771371300060
9866470454534260
10200110242103344
1158841305893271
121a53a85723a300
1387874129950b1
14375b55d029a36
1518204d755b299
hexb5ffcbe58030

200110242103344 has 160 divisors (see below), whose sum is σ = 590085186982080. Its totient is φ = 64881849139200.

The previous prime is 200110242103327. The next prime is 200110242103393. The reversal of 200110242103344 is 443301242011002.

200110242103344 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 102 + 4 + 210 + 3 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53511984 + ... + 57129264.

It is an arithmetic number, because the mean of its divisors is an integer number (3688032418638).

Almost surely, 2200110242103344 is an apocalyptic number.

200110242103344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200110242103344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295042593491040).

200110242103344 is an abundant number, since it is smaller than the sum of its proper divisors (389974944878736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200110242103344 is a wasteful number, since it uses less digits than its factorization.

200110242103344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620796 (or 3620784 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 200110242103344 its reverse (443301242011002), we get a palindrome (643411484114346).

The spelling of 200110242103344 in words is "two hundred trillion, one hundred ten billion, two hundred forty-two million, one hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1776 1998 2664 3461 3996 5328 6922 7992 10383 13844 15984 20766 27688 31149 41532 55376 62298 83064 93447 124596 128057 166128 186894 249192 256114 373788 384171 498384 512228 747576 768342 1024456 1152513 1495152 1536684 2048912 2305026 3073368 3457539 3617281 4610052 6146736 6915078 7234562 9220104 10851843 13830156 14469124 18440208 21703686 27660312 28938248 32555529 43407372 55320624 57876496 65111058 86814744 97666587 130222116 133839397 173629488 195333174 260444232 267678794 390666348 401518191 520888464 535357588 781332696 803036382 1070715176 1204554573 1562665392 1606072764 2141430352 2409109146 3212145528 3613663719 4818218292 6424291056 7227327438 9636436584 12519409541 14454654876 19272873168 25038819082 28909309752 37558228623 50077638164 57818619504 75116457246 100155276328 112674685869 150232914492 200310552656 225349371738 300465828984 338024057607 450698743476 463218153017 600931657968 676048115214 901397486952 926436306034 1352096230428 1389654459051 1802794973904 1852872612068 2704192460856 2779308918102 3705745224136 4168963377153 5408384921712 5558617836204 7411490448272 8337926754306 11117235672408 12506890131459 16675853508612 22234471344816 25013780262918 33351707017224 50027560525836 66703414034448 100055121051672 200110242103344