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23305250362041 = 322910942113811409
BaseRepresentation
bin1010100110010001011010…
…01010110101001010111001
310001111221220222010211120100
411103020231022311022321
511023313123043041131
6121322141220150013
74623514554366324
oct523105512651271
9101457828124510
1023305250362041
11747577929879a
122744869238309
1310008a260c52b
145a7da16c97bb
152a6352b967e6
hex15322d2b52b9

23305250362041 has 96 divisors (see below), whose sum is σ = 35277426756000. Its totient is φ = 14806897459200.

The previous prime is 23305250362027. The next prime is 23305250362109. The reversal of 23305250362041 is 14026305250332.

23305250362041 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 5 + 25 + 0 + 3 + 620 + 4 + 1 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 16426322643600 + 6878927718441 = 4052940^2 + 2622771^2 .

It is not a de Polignac number, because 23305250362041 - 26 = 23305250361977 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23305250361987 and 23305250362005.

It is not an unprimeable number, because it can be changed into a prime (23305250362001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16540276345 + ... + 16540277753.

It is an arithmetic number, because the mean of its divisors is an integer number (367473195375).

Almost surely, 223305250362041 is an apocalyptic number.

It is an amenable number.

23305250362041 is a deficient number, since it is larger than the sum of its proper divisors (11972176393959).

23305250362041 is a wasteful number, since it uses less digits than its factorization.

23305250362041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 23305250362041 in words is "twenty-three trillion, three hundred five billion, two hundred fifty million, three hundred sixty-two thousand, forty-one".

Divisors: 1 3 9 29 87 109 261 327 421 981 1263 1381 1409 3161 3789 4143 4227 9483 12209 12429 12681 28449 36627 40049 40861 45889 109881 120147 122583 137667 150529 153581 360441 367749 413001 451587 460743 581401 593189 1330781 1354761 1382229 1744203 1779567 1945829 3992343 4365341 4453849 5232609 5338701 5837487 11977029 13096023 13361547 16860629 17202481 17512461 39288069 40084641 50581887 51607443 56429041 63372709 64657601 151745661 154822329 169287123 190118127 193972803 212095361 507861369 570354381 581918409 636286083 819194009 1837808561 1875070429 1908858249 2457582027 5513425683 5625211287 6150765469 7372746081 16540277049 16875633861 18452296407 23756626261 55356889221 71269878783 89292146981 213809636349 267876440943 803629322829 2589472262449 7768416787347 23305250362041