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131212331134110 = 23359071666132159
BaseRepresentation
bin11101110101011001000000…
…011000110010110010011110
3122012120202221221220220201000
4131311121000120302302132
5114144240323232242420
61143022040205331130
736431530612262022
oct3565310030626236
9565522857826630
10131212331134110
1138898923254946
12128719b4266aa6
13582a3677b3745
1424589d42a0382
151028201b13690
hex775640632c9e

131212331134110 has 128 divisors (see below), whose sum is σ = 350317243699200. Its totient is φ = 34948192728960.

The previous prime is 131212331134081. The next prime is 131212331134123. The reversal of 131212331134110 is 11431133212131.

131212331134110 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 2 + 3 + 311 + 341 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4080096211 + ... + 4080128369.

It is an arithmetic number, because the mean of its divisors is an integer number (2736853466400).

Almost surely, 2131212331134110 is an apocalyptic number.

131212331134110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131212331134110 is an abundant number, since it is smaller than the sum of its proper divisors (219104912565090).

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

131212331134110 is a wasteful number, since it uses less digits than its factorization.

131212331134110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49743 (or 49737 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 131212331134110 its reverse (11431133212131), we get a palindrome (142643464346241).

The spelling of 131212331134110 in words is "one hundred thirty-one trillion, two hundred twelve billion, three hundred thirty-one million, one hundred thirty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 907 1814 2721 4535 5442 8163 9070 13605 16326 16661 24489 27210 32159 33322 40815 48978 49983 64318 81630 83305 96477 99966 122445 149949 160795 166610 192954 244890 249915 289431 299898 321590 449847 482385 499830 578862 749745 868293 899694 964770 1447155 1499490 1736586 2249235 2894310 4341465 4498470 8682930 15111527 29168213 30223054 45334581 58336426 75557635 87504639 90669162 136003743 145841065 151115270 175009278 226672905 262513917 272007486 291682130 408011229 437523195 453345810 525027834 535801099 680018715 787541751 816022458 875046390 1071602198 1312569585 1360037430 1575083502 1607403297 2040056145 2625139170 2679005495 3214806594 3937708755 4080112290 4822209891 5358010990 7875417510 8037016485 9644419782 14466629673 16074032970 24111049455 28933259346 48222098910 72333148365 144666296730 485971596793 971943193586 1457914790379 2429857983965 2915829580758 4373744371137 4859715967930 7289573951895 8747488742274 13121233113411 14579147903790 21868721855685 26242466226822 43737443711370 65606165567055 131212331134110