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131000030304390 = 23251329049951791
BaseRepresentation
bin11101110010010011010010…
…010001011001100010000110
3122011211110222100110100001200
4131302103102101121202012
5114132301030224220030
61142340325542003330
736410303605064502
oct3562232221314206
9564743870410050
10131000030304390
1138816889a41275
1212838825116546
135813332c01400
14244c614653302
1510229287e8d60
hex7724d2459886

131000030304390 has 144 divisors (see below), whose sum is σ = 368856615067200. Its totient is φ = 32242563924480.

The previous prime is 131000030304389. The next prime is 131000030304433. The reversal of 131000030304390 is 93403030000131.

131000030304390 is a `hidden beast` number, since 1 + 310 + 0 + 0 + 0 + 303 + 0 + 43 + 9 + 0 = 666.

It is a super-2 number, since 2×1310000303043902 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137159395 + ... + 138111185.

It is an arithmetic number, because the mean of its divisors is an integer number (2561504271300).

Almost surely, 2131000030304390 is an apocalyptic number.

131000030304390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131000030304390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184428307533600).

131000030304390 is an abundant number, since it is smaller than the sum of its proper divisors (237856584762810).

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

131000030304390 is a wasteful number, since it uses less digits than its factorization.

131000030304390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960879 (or 960863 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 131000030304390 in words is "one hundred thirty-one trillion, thirty million, three hundred four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7605 9049 15210 18098 27147 45245 54294 81441 90490 117637 135735 162882 235274 271470 352911 407205 588185 705822 814410 951791 1058733 1176370 1529281 1764555 1903582 2117466 2855373 3058562 3529110 4587843 4758955 5293665 5710746 7646405 8566119 9175686 9517910 10587330 12373283 13763529 14276865 15292810 17132238 22939215 24746566 27527058 28553730 37119849 42830595 45878430 61866415 68817645 74239698 85661190 111359547 123732830 137635290 160852679 185599245 222719094 321705358 371198490 482558037 556797735 804263395 965116074 1113595470 1447674111 1608526790 2412790185 2895348222 4825580370 7238370555 8612756759 14476741110 17225513518 25838270277 43063783795 51676540554 77514810831 86127567590 111965837867 129191351385 155029621662 223931675734 258382702770 335897513601 387574054155 559829189335 671795027202 775148108310 1007692540803 1119658378670 1455555892271 1679487568005 2015385081606 2911111784542 3358975136010 4366667676813 5038462704015 7277779461355 8733335353626 10076925408030 13100003030439 14555558922710 21833338384065 26200006060878 43666676768130 65500015152195 131000030304390