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131122134 = 23211313421
BaseRepresentation
bin1111101000011…
…00001111010110
3100010201200202100
413310030033112
5232031402014
621002222530
73151343163
oct764141726
9303650670
10131122134
1168019000
1237ab4a46
132121c480
14135b306a
15b7a1009
hex7d0c3d6

131122134 has 96 divisors (see below), whose sum is σ = 337323168. Its totient is φ = 36590400.

The previous prime is 131122133. The next prime is 131122153. The reversal of 131122134 is 431221131.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131122133) 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, 311244 + ... + 311664.

It is an arithmetic number, because the mean of its divisors is an integer number (3513783).

Almost surely, 2131122134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131122134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168661584).

131122134 is an abundant number, since it is smaller than the sum of its proper divisors (206201034).

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

131122134 is a wasteful number, since it uses less digits than its factorization.

131122134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 450 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 131122134 is about 11450.8573478146. The cubic root of 131122134 is about 508.0330929937.

Adding to 131122134 its reverse (431221131), we get a palindrome (562343265).

It can be divided in two parts, 131 and 122134, that added together give a triangular number (122265 = T494).

The spelling of 131122134 in words is "one hundred thirty-one million, one hundred twenty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 421 429 726 842 858 1089 1263 1287 1331 1573 2178 2526 2574 2662 3146 3789 3993 4631 4719 5473 7578 7986 9262 9438 10946 11979 13893 14157 16419 17303 23958 27786 28314 32838 34606 41679 49257 50941 51909 60203 83358 98514 101882 103818 120406 152823 155727 180609 305646 311454 361218 458469 541827 560351 662233 916938 1083654 1120702 1324466 1681053 1986699 3362106 3973398 5043159 5960097 7284563 10086318 11920194 14569126 21853689 43707378 65561067 131122134