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131120002332 = 2232112115093083
BaseRepresentation
bin111101000011101011…
…1000111010100011100
3110112102222102020222200
41322013113013110130
54122013210033312
6140122524411500
712321163426164
oct1720727072434
9415388366880
10131120002332
11506759064a0
12214b39a6b90
13c497c399c7
1464bc1335a4
15362634b0dc
hex1e875c751c

131120002332 has 144 divisors (see below), whose sum is σ = 364118751360. Its totient is φ = 39454531200.

The previous prime is 131120002331. The next prime is 131120002373. The reversal of 131120002332 is 233200021131.

131120002332 is a `hidden beast` number, since 1 + 311 + 20 + 0 + 0 + 2 + 332 = 666.

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 (131120002331) 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, 42528463 + ... + 42531545.

It is an arithmetic number, because the mean of its divisors is an integer number (2528602440).

Almost surely, 2131120002332 is an apocalyptic number.

131120002332 is a gapful number since it is divisible by the number (12) 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 131120002332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182059375680).

131120002332 is an abundant number, since it is smaller than the sum of its proper divisors (232998749028).

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

131120002332 is a wasteful number, since it uses less digits than its factorization.

131120002332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824 (or 3819 counting only the distinct ones).

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

Adding to 131120002332 its reverse (233200021131), we get a palindrome (364320023463).

The spelling of 131120002332 in words is "one hundred thirty-one billion, one hundred twenty million, two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 211 396 422 509 633 844 1018 1266 1527 1899 2036 2321 2532 3054 3083 3798 4581 4642 5599 6108 6166 6963 7596 9162 9249 9284 11198 12332 13926 16797 18324 18498 20889 22396 27747 27852 33594 33913 36996 41778 50391 55494 67188 67826 83556 100782 101739 107399 110988 135652 201564 203478 214798 305217 322197 406956 429596 610434 644394 650513 966591 1181389 1220868 1288788 1301026 1569247 1933182 1951539 2362778 2602052 3138494 3544167 3866364 3903078 4707741 4725556 5854617 6276988 7088334 7155643 7806156 9415482 10632501 11709234 14123223 14176668 14311286 17261717 18830964 21265002 21466929 23418468 28246446 28622572 34523434 42530004 42933858 51785151 56492892 64400787 69046868 85867716 103570302 128801574 155355453 207140604 257603148 310710906 331111117 621421812 662222234 993333351 1324444468 1986666702 2980000053 3642222287 3973333404 5960000106 7284444574 10926666861 11920000212 14568889148 21853333722 32780000583 43706667444 65560001166 131120002332