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10041221314332 = 22331313752203409
BaseRepresentation
bin1001001000011110011101…
…1011011111011100011100
31022112221010222101222122000
42102013213123133130130
52304003410124024312
633204512352522300
72054311552625265
oct222074733373434
938487128358560
1010041221314332
11322150472664a
121162080850390
1357ab63255990
14269dd79b796c
151262ddc75adc
hex921e76df71c

10041221314332 has 96 divisors (see below), whose sum is σ = 28239956673600. Its totient is φ = 3067054626816.

The previous prime is 10041221314277. The next prime is 10041221314363. The reversal of 10041221314332 is 23341312214001.

10041221314332 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 221 + 3 + 1 + 433 + 2 = 666.

It is a super-2 number, since 2×100412213143322 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10041221314296 and 10041221314305.

It is a congruent number.

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, 25909357 + ... + 26294052.

It is an arithmetic number, because the mean of its divisors is an integer number (294166215350).

Almost surely, 210041221314332 is an apocalyptic number.

10041221314332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10041221314332 is an abundant number, since it is smaller than the sum of its proper divisors (18198735359268).

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

10041221314332 is a wasteful number, since it uses less digits than its factorization.

10041221314332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52203572 (or 52203564 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10041221314332 its reverse (23341312214001), we get a palindrome (33382533528333).

The spelling of 10041221314332 in words is "ten trillion, forty-one billion, two hundred twenty-one million, three hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 137 156 234 274 351 411 468 548 702 822 1233 1404 1644 1781 2466 3562 3699 4932 5343 7124 7398 10686 14796 16029 21372 32058 48087 64116 96174 192348 52203409 104406818 156610227 208813636 313220454 469830681 626440908 678644317 939661362 1357288634 1409492043 1879322724 2035932951 2714577268 2818984086 4071865902 5637968172 6107798853 7151867033 8143731804 12215597706 14303734066 18323396559 21455601099 24431195412 28607468132 36646793118 42911202198 64366803297 73293586236 85822404396 92974271429 128733606594 185948542858 193100409891 257467213188 278922814287 371897085716 386200819782 557845628574 772401639564 836768442861 1115691257148 1673536885722 2510305328583 3347073771444 5020610657166 10041221314332