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131020142013240 = 23357435179283741
BaseRepresentation
bin11101110010100110000001…
…000001011110101100111000
3122011220101212222012000001020
4131302212001001132230320
5114133113222323410430
61142353453341422440
736411615154561254
oct3562460101365470
9564811788160036
10131020142013240
113882436a529857
12128406b856aa20
1358151b978c14c
14244d5a16d7264
15102320427db10
hex77298105eb38

131020142013240 has 128 divisors (see below), whose sum is σ = 393666828710400. Its totient is φ = 34884820615680.

The previous prime is 131020142013227. The next prime is 131020142013251. The reversal of 131020142013240 is 42310241020131.

It is a super-2 number, since 2×1310201420132402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131020142013240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461617770 + ... + 461901510.

It is an arithmetic number, because the mean of its divisors is an integer number (3075522099300).

Almost surely, 2131020142013240 is an apocalyptic number.

131020142013240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020142013240 is an abundant number, since it is smaller than the sum of its proper divisors (262646686697160).

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

131020142013240 is a wasteful number, since it uses less digits than its factorization.

131020142013240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289677 (or 289673 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131020142013240 its reverse (42310241020131), we get a palindrome (173330383033371).

The spelling of 131020142013240 in words is "one hundred thirty-one trillion, twenty billion, one hundred forty-two million, thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 743 1486 2229 2972 3715 4458 5179 5944 7430 8916 10358 11145 14860 15537 17832 20716 22290 25895 29720 31074 41432 44580 51790 62148 77685 89160 103580 124296 155370 207160 283741 310740 567482 621480 851223 1134964 1418705 1702446 2269928 2837410 3404892 3847997 4256115 5674820 6809784 7695994 8512230 11349640 11543991 15391988 17024460 19239985 23087982 30783976 34048920 38479970 46175964 57719955 76959940 92351928 115439910 153919880 210819563 230879820 421639126 461759640 632458689 843278252 1054097815 1264917378 1469494639 1686556504 2108195630 2529834756 2938989278 3162293445 4216391260 4408483917 5059669512 5877978556 6324586890 7347473195 8432782520 8816967834 11755957112 12649173780 14694946390 17633935668 22042419585 25298347560 29389892780 35267871336 44084839170 58779785560 88169678340 176339356680 1091834516777 2183669033554 3275503550331 4367338067108 5459172583885 6551007100662 8734676134216 10918345167770 13102014201324 16377517751655 21836690335540 26204028402648 32755035503310 43673380671080 65510071006620 131020142013240