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131021088 = 25311532341
BaseRepresentation
bin1111100111100…
…11100100100000
3100010112120010220
413303303210200
5232020133323
621000123040
73150442452
oct763634440
9303476126
10131021088
1167a5a0a0
1237a66480
13211b5493
14135882d2
15b7810e3
hex7cf3920

131021088 has 96 divisors (see below), whose sum is σ = 382439232. Its totient is φ = 38937600.

The previous prime is 131021071. The next prime is 131021119. The reversal of 131021088 is 880120131.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54798 + ... + 57138.

It is an arithmetic number, because the mean of its divisors is an integer number (3983742).

Almost surely, 2131021088 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 131021088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191219616).

131021088 is an abundant number, since it is smaller than the sum of its proper divisors (251418144).

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

131021088 is a wasteful number, since it uses less digits than its factorization.

131021088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 131021088 is about 11446.4443387455. Note that the first 3 decimals coincide. The cubic root of 131021088 is about 507.9025584490.

The spelling of 131021088 in words is "one hundred thirty-one million, twenty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 132 159 176 212 264 318 352 424 528 583 636 848 1056 1166 1272 1696 1749 2332 2341 2544 3498 4664 4682 5088 6996 7023 9328 9364 13992 14046 18656 18728 25751 27984 28092 37456 51502 55968 56184 74912 77253 103004 112368 124073 154506 206008 224736 248146 309012 372219 412016 496292 618024 744438 824032 992584 1236048 1364803 1488876 1985168 2472096 2729606 2977752 3970336 4094409 5459212 5955504 8188818 10918424 11911008 16377636 21836848 32755272 43673696 65510544 131021088