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10023010414431 = 3723371793133259
BaseRepresentation
bin1001000111011010100111…
…1110011010111101011111
31022111012010211101102022220
42101312221332122331133
52303204111131230211
633152301334040423
72053065353550540
oct221665176327537
938435124342286
1010023010414431
11321480a096a53
12115a639aa9113
13579220422a71
1426918b16c4c7
15125ac510d806
hex91da9f9af5f

10023010414431 has 64 divisors (see below), whose sum is σ = 16459390771200. Its totient is φ = 5300570157696.

The previous prime is 10023010414409. The next prime is 10023010414441. The reversal of 10023010414431 is 13441401032001.

It is not a de Polignac number, because 10023010414431 - 214 = 10023010398047 is a prime.

It is a super-2 number, since 2×100230104144312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023010414441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1632280 + ... + 4765538.

It is an arithmetic number, because the mean of its divisors is an integer number (257177980800).

Almost surely, 210023010414431 is an apocalyptic number.

10023010414431 is a deficient number, since it is larger than the sum of its proper divisors (6436380356769).

10023010414431 is a wasteful number, since it uses less digits than its factorization.

10023010414431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133508.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10023010414431 its reverse (13441401032001), we get a palindrome (23464411446432).

The spelling of 10023010414431 in words is "ten trillion, twenty-three billion, ten million, four hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 7 21 23 37 69 111 161 179 259 483 537 777 851 1253 2553 3759 4117 5957 6623 12351 17871 19869 28819 46361 86457 139083 152329 456987 1066303 3133259 3198909 9399777 21932813 65798439 72064957 115930583 216194871 347791749 504454699 560853361 811514081 1513364097 1682560083 2434542243 2666403409 3925973527 7999210227 11777920581 12899627303 18664823863 20751574357 38698881909 55994471589 62254723071 90297391121 145261020499 270892173363 435783061497 477286210211 1431858630633 3341003471477 10023010414431