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102134320431 = 311131913195651
BaseRepresentation
bin101111100011110101…
…1100000110100101111
3100202121220202001110120
41133013223200310233
53133132341223211
6114530404540023
710243661254023
oct1370753406457
9322556661416
10102134320431
113a351185690
12179646b1613
139828a55c40
144d2c6c2383
1529cb7d0d06
hex17c7ae0d2f

102134320431 has 64 divisors (see below), whose sum is σ = 169694300160. Its totient is φ = 53717040000.

The previous prime is 102134320427. The next prime is 102134320439. The reversal of 102134320431 is 134023431201.

It is a happy number.

It is not a de Polignac number, because 102134320431 - 22 = 102134320427 is a prime.

It is a super-2 number, since 2×1021343204312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102134320439) 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, 1019956 + ... + 1115606.

It is an arithmetic number, because the mean of its divisors is an integer number (2651473440).

Almost surely, 2102134320431 is an apocalyptic number.

102134320431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102134320431 is a deficient number, since it is larger than the sum of its proper divisors (67559979729).

102134320431 is a wasteful number, since it uses less digits than its factorization.

102134320431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95828.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102134320431 its reverse (134023431201), we get a palindrome (236157751632).

The spelling of 102134320431 in words is "one hundred two billion, one hundred thirty-four million, three hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 11 13 19 33 39 57 131 143 209 247 393 429 627 741 1441 1703 2489 2717 4323 5109 7467 8151 18733 27379 32357 56199 82137 95651 97071 286953 355927 1052161 1067781 1243463 1817369 3156483 3730389 5452107 12530281 13678093 19991059 23625797 37590843 41034279 59973177 70877391 137833091 162893653 238075339 259883767 413499273 488680959 714226017 779651301 1791830183 2618828729 3094979407 5375490549 7856486187 9284938221 34044773477 102134320431