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131001320 = 23517383503
BaseRepresentation
bin1111100111011…
…10101111101000
3100010111120000202
413303232233220
5232014020240
620555451332
73150331022
oct763565750
9303446022
10131001320
1167a4625a
1237a56b48
13211a9498
1413581012
15b77a315
hex7ceebe8

131001320 has 64 divisors (see below), whose sum is σ = 313528320. Its totient is φ = 49091584.

The previous prime is 131001317. The next prime is 131001331. The reversal of 131001320 is 23100131.

It is a super-2 number, since 2×1310013202 = 34322691683484800, which contains 22 as substring.

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, 260189 + ... + 260691.

It is an arithmetic number, because the mean of its divisors is an integer number (4898880).

Almost surely, 2131001320 is an apocalyptic number.

131001320 is a gapful number since it is divisible by the number (10) 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 131001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

131001320 is an abundant number, since it is smaller than the sum of its proper divisors (182527000).

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

131001320 is a wasteful number, since it uses less digits than its factorization.

131001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 131001320 is about 11445.5808065821. The cubic root of 131001320 is about 507.8770136483.

Adding to 131001320 its reverse (23100131), we get a palindrome (154101451).

The spelling of 131001320 in words is "one hundred thirty-one million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 383 503 680 766 1006 1532 1915 2012 2515 3064 3830 4024 5030 6511 7660 8551 10060 13022 15320 17102 20120 26044 32555 34204 42755 52088 65110 68408 85510 130220 171020 192649 260440 342040 385298 770596 963245 1541192 1926490 3275033 3852980 6550066 7705960 13100132 16375165 26200264 32750330 65500660 131001320