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13131430022431 = 717732339646267
BaseRepresentation
bin1011111100010110011000…
…1110001100110100011111
31201111100111221021102220001
42333011212032030310133
53210121132041204211
643532255022035131
72523500035352350
oct277054616146437
951440457242801
1013131430022431
11420300aa03946
121580b61418aa7
13743399bc0966
143357c93b9d27
1517b8a2d20ac1
hexbf16638cd1f

13131430022431 has 32 divisors (see below), whose sum is σ = 16114718430720. Its totient is φ = 10443824004096.

The previous prime is 13131430022419. The next prime is 13131430022467. The reversal of 13131430022431 is 13422003413131.

It is not a de Polignac number, because 13131430022431 - 213 = 13131430014239 is a prime.

It is a super-2 number, since 2×131314300224312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13131430022431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131430022401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19995760 + ... + 20642026.

It is an arithmetic number, because the mean of its divisors is an integer number (503584950960).

Almost surely, 213131430022431 is an apocalyptic number.

13131430022431 is a deficient number, since it is larger than the sum of its proper divisors (2983288408289).

13131430022431 is a wasteful number, since it uses less digits than its factorization.

13131430022431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648703.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13131430022431 its reverse (13422003413131), we get a palindrome (26553433435562).

The spelling of 13131430022431 in words is "thirteen trillion, one hundred thirty-one billion, four hundred thirty million, twenty-two thousand, four hundred thirty-one".

Divisors: 1 7 17 73 119 511 1241 2339 8687 16373 39763 170747 278341 646267 1195229 2902699 4523869 10986539 20318893 47177491 76905773 330242437 802017347 1511618513 5614121429 10581329591 25697514721 110348151449 179882603047 772437060143 1875918574633 13131430022431