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1041133323420 = 223453299194809
BaseRepresentation
bin11110010011010000110…
…00011100010010011100
310200112100101000202110000
433021220120130102130
5114024220112322140
62114142352214300
7135135153142521
oct17115030342234
93615311022400
101041133323420
113715a6689663
1214994153a390
1377242098678
1438569349148
151c1379b7a30
hexf26861c49c

1041133323420 has 120 divisors (see below), whose sum is σ = 3267080586000. Its totient is φ = 277549970688.

The previous prime is 1041133323403. The next prime is 1041133323421. The reversal of 1041133323420 is 243233311401.

It is a happy number.

1041133323420 is a `hidden beast` number, since 10 + 411 + 3 + 3 + 3 + 234 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041133323421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5246976 + ... + 5441784.

It is an arithmetic number, because the mean of its divisors is an integer number (27225671550).

Almost surely, 21041133323420 is an apocalyptic number.

1041133323420 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 1041133323420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633540293000).

1041133323420 is an abundant number, since it is smaller than the sum of its proper divisors (2225947262580).

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

1041133323420 is a wasteful number, since it uses less digits than its factorization.

1041133323420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198129 (or 198118 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1041133323420 its reverse (243233311401), we get a palindrome (1284366634821).

The spelling of 1041133323420 in words is "one trillion, forty-one billion, one hundred thirty-three million, three hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 3299 6598 9897 13196 16495 19794 29691 32990 39588 49485 59382 65980 89073 98970 118764 148455 178146 194809 197940 267219 296910 356292 389618 445365 534438 584427 593820 779236 890730 974045 1068876 1168854 1336095 1753281 1781460 1948090 2337708 2672190 2922135 3506562 3896180 5259843 5344380 5844270 7013124 8766405 10519686 11688540 15779529 17532810 21039372 26299215 31559058 35065620 52598430 63118116 78897645 105196860 157795290 315590580 642674891 1285349782 1928024673 2570699564 3213374455 3856049346 5784074019 6426748910 7712098692 9640123365 11568148038 12853497820 17352222057 19280246730 23136296076 28920370095 34704444114 38560493460 52056666171 57840740190 69408888228 86761110285 104113332342 115681480380 173522220570 208226664684 260283330855 347044441140 520566661710 1041133323420