Search a number
-
+
31012332504 = 23329211811301
BaseRepresentation
bin11100111000011110…
…101010001111011000
32222001022011201111120
4130320132222033120
51002003124120004
622125153525240
72145341322366
oct347036521730
988038151446
1031012332504
111217472046a
126015b73820
132c0302c70a
141702a86636
15c179443d9
hex7387aa3d8

31012332504 has 96 divisors (see below), whose sum is σ = 80426258640. Its totient is φ = 9964864000.

The previous prime is 31012332353. The next prime is 31012332511. The reversal of 31012332504 is 40523321013.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23836654 + ... + 23837954.

Almost surely, 231012332504 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 31012332504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40213129320).

31012332504 is an abundant number, since it is smaller than the sum of its proper divisors (49413926136).

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

31012332504 is a wasteful number, since it uses less digits than its factorization.

31012332504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 31012332504 its reverse (40523321013), we get a palindrome (71535653517).

The spelling of 31012332504 in words is "thirty-one billion, twelve million, three hundred thirty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 841 1181 1301 1682 2362 2523 2602 3364 3543 3903 4724 5046 5204 6728 7086 7806 9448 10092 10408 14172 15612 20184 28344 31224 34249 37729 68498 75458 102747 113187 136996 150916 205494 226374 273992 301832 410988 452748 821976 905496 993221 1094141 1536481 1986442 2188282 2979663 3072962 3282423 3972884 4376564 4609443 5959326 6145924 6564846 7945768 8753128 9218886 11918652 12291848 13129692 18437772 23837304 26259384 36875544 44557949 89115898 133673847 178231796 267347694 356463592 534695388 1069390776 1292180521 2584361042 3876541563 5168722084 7753083126 10337444168 15506166252 31012332504