Search a number
-
+
31103103132 = 22321949991127
BaseRepresentation
bin11100111101111000…
…111011000010011100
32222021121222100101200
4130331320323002130
51002144343300012
622142155235500
72150523004653
oct347570730234
988247870350
1031103103132
1112210988812
126040448b90
132c18a9134a
141710b5419a
15c208c43dc
hex73de3b09c

31103103132 has 72 divisors (see below), whose sum is σ = 82926480000. Its totient is φ = 9802241568.

The previous prime is 31103103127. The next prime is 31103103181. The reversal of 31103103132 is 23130130113.

It is a happy number.

31103103132 is a `hidden beast` number, since 31 + 10 + 310 + 313 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295753 + ... + 386879.

Almost surely, 231103103132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31103103132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41463240000).

31103103132 is an abundant number, since it is smaller than the sum of its proper divisors (51823376868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31103103132 is a wasteful number, since it uses less digits than its factorization.

31103103132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91655 (or 91650 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31103103132 its reverse (23130130113), we get a palindrome (54233233245).

The spelling of 31103103132 in words is "thirty-one billion, one hundred three million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 499 684 998 1497 1996 2994 4491 5988 8982 9481 17964 18962 28443 37924 56886 85329 91127 113772 170658 182254 273381 341316 364508 546762 820143 1093524 1640286 1731413 3280572 3462826 5194239 6925652 10388478 15582717 20776956 31165434 45472373 62330868 90944746 136417119 181889492 272834238 409251357 545668476 818502714 863975087 1637005428 1727950174 2591925261 3455900348 5183850522 7775775783 10367701044 15551551566 31103103132