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131004324 = 223311110273
BaseRepresentation
bin1111100111011…
…11011110100100
3100010111201011000
413303233132210
5232014114244
620555513300
73150342543
oct763573644
9303451130
10131004324
1167a48540
1237a58830
13211aa969
141358215a
15b77b169
hex7cef7a4

131004324 has 48 divisors (see below), whose sum is σ = 370520640. Its totient is φ = 39697920.

The previous prime is 131004311. The next prime is 131004337. The reversal of 131004324 is 423400131.

It is an interprime number because it is at equal distance from previous prime (131004311) and next prime (131004337).

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

It is a junction number, because it is equal to n+sod(n) for n = 131004297 and 131004306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53949 + ... + 56324.

It is an arithmetic number, because the mean of its divisors is an integer number (7719180).

Almost surely, 2131004324 is an apocalyptic number.

It is an amenable number.

131004324 is an abundant number, since it is smaller than the sum of its proper divisors (239516316).

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

131004324 is a wasteful number, since it uses less digits than its factorization.

131004324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110297 (or 110289 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 131004324 is about 11445.7120355179. The cubic root of 131004324 is about 507.8808956725.

Adding to 131004324 its reverse (423400131), we get a palindrome (554404455).

It can be divided in two parts, 131004 and 324, that added together give a triangular number (131328 = T512).

The spelling of 131004324 in words is "one hundred thirty-one million, four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 110273 220546 330819 441092 661638 992457 1213003 1323276 1984914 2426006 2977371 3639009 3969828 4852012 5954742 7278018 10917027 11909484 14556036 21834054 32751081 43668108 65502162 131004324