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131133402 = 232193743241
BaseRepresentation
bin1111101000011…
…10111111011010
3100010202021012200
413310032333122
5232032232102
621002351030
73151421061
oct764167732
9303667180
10131133402
1168026514
1237abb476
132122463a
14135b71d8
15b7a451c
hex7d0efda

131133402 has 96 divisors (see below), whose sum is σ = 315606720. Its totient is φ = 39191040.

The previous prime is 131133391. The next prime is 131133403. The reversal of 131133402 is 204331131.

131133402 is a `hidden beast` number, since 131 + 133 + 402 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (131133403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544002 + ... + 544242.

It is an arithmetic number, because the mean of its divisors is an integer number (3287570).

Almost surely, 2131133402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131133402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157803360).

131133402 is an abundant number, since it is smaller than the sum of its proper divisors (184473318).

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

131133402 is a wasteful number, since it uses less digits than its factorization.

131133402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131133402 is about 11451.3493528055. The cubic root of 131133402 is about 508.0476452099.

Adding to 131133402 its reverse (204331131), we get a palindrome (335464533).

The spelling of 131133402 in words is "one hundred thirty-one million, one hundred thirty-three thousand, four hundred two".

Divisors: 1 2 3 6 9 18 19 37 38 43 57 74 86 111 114 129 171 222 241 258 333 342 387 482 666 703 723 774 817 1406 1446 1591 1634 2109 2169 2451 3182 4218 4338 4579 4773 4902 6327 7353 8917 9158 9546 10363 12654 13737 14319 14706 17834 20726 26751 27474 28638 30229 31089 41211 53502 60458 62178 80253 82422 90687 93267 160506 169423 181374 186534 196897 272061 338846 383431 393794 508269 544122 590691 766862 1016538 1150293 1181382 1524807 1772073 2300586 3049614 3450879 3544146 6901758 7285189 14570378 21855567 43711134 65566701 131133402