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10077623231 = 1397109157467
BaseRepresentation
bin10010110001010110…
…00101001110111111
3222000022211022011212
421120223011032333
5131114332420411
64343554235035
7504506245514
oct113053051677
928008738155
1010077623231
114301612545
121b52b85a7b
13c47ac7a90
146b85ab30b
153deae268b
hex258ac53bf

10077623231 has 32 divisors (see below), whose sum is σ = 11159628480. Its totient is φ = 9044545536.

The previous prime is 10077623203. The next prime is 10077623243. The reversal of 10077623231 is 13232677001.

It is a de Polignac number, because none of the positive numbers 2k-10077623231 is a prime.

It is a super-2 number, since 2×100776232312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077623261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21579260 + ... + 21579726.

It is an arithmetic number, because the mean of its divisors is an integer number (348738390).

Almost surely, 210077623231 is an apocalyptic number.

10077623231 is a deficient number, since it is larger than the sum of its proper divisors (1082005249).

10077623231 is a wasteful number, since it uses less digits than its factorization.

10077623231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843.

The product of its (nonzero) digits is 10584, while the sum is 32.

The spelling of 10077623231 in words is "ten billion, seventy-seven million, six hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 13 97 109 157 467 1261 1417 2041 6071 10573 15229 17113 45299 50903 73319 137449 197977 222469 588887 661739 953147 1659961 4937591 7111943 7991771 21579493 64188683 92455259 103893023 775201787 10077623231