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102144111412431 = 31118117100972947
BaseRepresentation
bin10111001110011001000111…
…011110100000010011001111
3111101122212210202012122120110
4113032121013132200103033
5101342012120010144211
61001124205035251103
730341445205346634
oct2716310736402317
9441585722178513
10102144111412431
112a601090001110
12b5582682a9a93
1344cc1c0c9bc0a
141b31b30d6618b
15bc20093eeea6
hex5ce6477a04cf

102144111412431 has 16 divisors (see below), whose sum is σ = 149394099673728. Its totient is φ = 61563502605600.

The previous prime is 102144111412429. The next prime is 102144111412517. The reversal of 102144111412431 is 134214111441201.

It is not a de Polignac number, because 102144111412431 - 21 = 102144111412429 is a prime.

It is a super-2 number, since 2×1021441114124312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102144111411431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8550480501 + ... + 8550492446.

It is an arithmetic number, because the mean of its divisors is an integer number (9337131229608).

Almost surely, 2102144111412431 is an apocalyptic number.

102144111412431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102144111412431 is a deficient number, since it is larger than the sum of its proper divisors (47249988261297).

102144111412431 is a wasteful number, since it uses less digits than its factorization.

102144111412431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17100973142.

The product of its (nonzero) digits is 3072, while the sum is 30.

Adding to 102144111412431 its reverse (134214111441201), we get a palindrome (236358222853632).

The spelling of 102144111412431 in words is "one hundred two trillion, one hundred forty-four billion, one hundred eleven million, four hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 11 33 181 543 1991 5973 17100972947 51302918841 188110702417 564332107251 3095276103407 9285828310221 34048037137477 102144111412431