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10157446442231 = 1117131414640423
BaseRepresentation
bin1001001111001111011011…
…1111001010110011110111
31022222001010220111020002122
42103303312333022303313
52312404422242122411
633334133320430155
72065564664125544
oct223636677126367
938861126436078
1010157446442231
113266826792460
1211806b831835b
13588ac63630ca
142718a184dbcb
151293426259db
hex93cf6fcacf7

10157446442231 has 16 divisors (see below), whose sum is σ = 11822227769088. Its totient is φ = 8624520777600.

The previous prime is 10157446442219. The next prime is 10157446442239. The reversal of 10157446442231 is 13224464475101.

It is a cyclic number.

It is not a de Polignac number, because 10157446442231 - 218 = 10157446180087 is a prime.

It is a super-2 number, since 2×101574464422312 (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 (10157446442239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207295715 + ... + 207344708.

It is an arithmetic number, because the mean of its divisors is an integer number (738889235568).

Almost surely, 210157446442231 is an apocalyptic number.

10157446442231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10157446442231 is a deficient number, since it is larger than the sum of its proper divisors (1664781326857).

10157446442231 is a wasteful number, since it uses less digits than its factorization.

10157446442231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414640582.

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 10157446442231 in words is "ten trillion, one hundred fifty-seven billion, four hundred forty-six million, four hundred forty-two thousand, two hundred thirty-one".

Divisors: 1 11 17 131 187 1441 2227 24497 414640423 4561044653 7048887191 54317895413 77537759101 597496849543 923404222021 10157446442231