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101300312132 = 22536016131297
BaseRepresentation
bin101111001010111111…
…0000001100001000100
3100200110210102001011022
41132111332001201010
53124430334442012
6114311533130312
710214213305655
oct1362576014104
9320423361138
10101300312132
1139a63426928
1217771329998
1397250267c6
144c8da2352c
15297d48c472
hex1795f81844

101300312132 has 48 divisors (see below), whose sum is σ = 181355760432. Its totient is φ = 49492684800.

The previous prime is 101300312117. The next prime is 101300312153. The reversal of 101300312132 is 231213003101.

It can be written as a sum of positive squares in 8 ways, for example, as 8990073856 + 92310238276 = 94816^2 + 303826^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101300312132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78102908 + ... + 78104204.

It is an arithmetic number, because the mean of its divisors is an integer number (3778245009).

Almost surely, 2101300312132 is an apocalyptic number.

It is an amenable number.

101300312132 is a deficient number, since it is larger than the sum of its proper divisors (80055448300).

101300312132 is a wasteful number, since it uses less digits than its factorization.

101300312132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101300312132 its reverse (231213003101), we get a palindrome (332513315233).

The spelling of 101300312132 in words is "one hundred one billion, three hundred million, three hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 53 106 212 601 613 1202 1226 1297 2404 2452 2594 5188 31853 32489 63706 64978 68741 127412 129956 137482 274964 368413 736826 779497 795061 1473652 1558994 1590122 3117988 3180244 19525889 39051778 41313341 42138233 78103556 82626682 84276466 165253364 168552932 477831661 955663322 1911326644 25325078033 50650156066 101300312132