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104522442120 = 2334551896217
BaseRepresentation
bin110000101011000000…
…1011110010110001000
3100222210100102012120000
41201112001132112020
53203030221121440
6120003354403000
710360110045645
oct1412601362610
9328710365500
10104522442120
1140367214878
1218310430460
139b197430b5
1450b792cdcc
152abb2ac730
hex185605e588

104522442120 has 160 divisors (see below), whose sum is σ = 351435763800. Its totient is φ = 27862797312.

The previous prime is 104522442113. The next prime is 104522442131. The reversal of 104522442120 is 21244225401.

It is a happy number.

104522442120 is a `hidden beast` number, since 10 + 4 + 5 + 224 + 421 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100944727524 + 3577714596 = 317718^2 + 59814^2 .

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 39 ways as a sum of consecutive naturals, for example, 16809252 + ... + 16815468.

Almost surely, 2104522442120 is an apocalyptic number.

104522442120 is a gapful number since it is divisible by the number (10) 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 104522442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175717881900).

104522442120 is an abundant number, since it is smaller than the sum of its proper divisors (246913321680).

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

104522442120 is a wasteful number, since it uses less digits than its factorization.

104522442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11429 (or 11416 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 104522442120 its reverse (21244225401), we get a palindrome (125766667521).

The spelling of 104522442120 in words is "one hundred four billion, five hundred twenty-two million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 5189 6217 10378 12434 15567 18651 20756 24868 25945 31085 31134 37302 41512 46701 49736 51890 55953 62170 62268 74604 77835 93255 93402 103780 111906 124340 124536 140103 149208 155670 167859 186510 186804 207560 223812 233505 248680 279765 280206 311340 335718 373020 373608 420309 447624 467010 503577 559530 560412 622680 671436 700515 746040 839295 840618 934020 1007154 1119060 1120824 1342872 1401030 1678590 1681236 1868040 2014308 2101545 2238120 2517885 2802060 3357180 3362472 4028616 4203090 5035770 5604120 6714360 8406180 10071540 16812360 20143080 32260013 64520026 96780039 129040052 161300065 193560078 258080104 290340117 322600130 387120156 483900195 580680234 645200260 774240312 871020351 967800390 1161360468 1290400520 1451700585 1742040702 1935600780 2322720936 2613061053 2903401170 3484081404 3871201560 4355101755 5226122106 5806802340 6968162808 8710203510 10452244212 11613604680 13065305265 17420407020 20904488424 26130610530 34840814040 52261221060 104522442120