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131143404 = 22372271823
BaseRepresentation
bin1111101000100…
…01011011101100
3100010202202221010
413310101123230
5232033042104
621002505220
73151462200
oct764213354
9303682833
10131143404
1168032a87
1237b05210
1321229062
14135bab00
15b7a7489
hex7d116ec

131143404 has 72 divisors (see below), whose sum is σ = 357708288. Its totient is φ = 37285920.

The previous prime is 131143399. The next prime is 131143427. The reversal of 131143404 is 404341131.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 158937 + ... + 159759.

Almost surely, 2131143404 is an apocalyptic number.

131143404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131143404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178854144).

131143404 is an abundant number, since it is smaller than the sum of its proper divisors (226564884).

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

131143404 is a wasteful number, since it uses less digits than its factorization.

131143404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 131143404 is about 11451.7860615714. The cubic root of 131143404 is about 508.0605617343.

Adding to 131143404 its reverse (404341131), we get a palindrome (535484535).

The spelling of 131143404 in words is "one hundred thirty-one million, one hundred forty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 271 294 542 588 813 823 1084 1626 1646 1897 2469 3252 3292 3794 4938 5691 5761 7588 9876 11382 11522 13279 17283 22764 23044 26558 34566 39837 40327 53116 69132 79674 80654 120981 159348 161308 223033 241962 446066 483924 669099 892132 1338198 1561231 2676396 3122462 4683693 6244924 9367386 10928617 18734772 21857234 32785851 43714468 65571702 131143404