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131234034320420 = 22531273107874151
BaseRepresentation
bin11101110101101101001101…
…111111111000010000100100
3122012122211222111022000100012
4131311231031333320100210
5114200114300241223140
61143040025540105352
736433226465311463
oct3565551577702044
9565584874260305
10131234034320420
11388a7050122a59
1212876050695258
13582c415cb2015
142459a9285a9da
151028a72162265
hex775b4dff8424

131234034320420 has 144 divisors (see below), whose sum is σ = 291367407429504. Its totient is φ = 49636055232000.

The previous prime is 131234034320419. The next prime is 131234034320533. The reversal of 131234034320420 is 24023430432131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149690345 + ... + 150564495.

It is an arithmetic number, because the mean of its divisors is an integer number (2023384773816).

Almost surely, 2131234034320420 is an apocalyptic number.

131234034320420 is a gapful number since it is divisible by the number (10) 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 131234034320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145683703714752).

131234034320420 is an abundant number, since it is smaller than the sum of its proper divisors (160133373109084).

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

131234034320420 is a wasteful number, since it uses less digits than its factorization.

131234034320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874402 (or 874369 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 131234034320420 its reverse (24023430432131), we get a palindrome (155257464752551).

The spelling of 131234034320420 in words is "one hundred thirty-one trillion, two hundred thirty-four billion, thirty-four million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 73 107 124 146 155 214 292 310 365 428 535 620 730 961 1070 1460 1922 2140 2263 3317 3844 4526 4805 6634 7811 9052 9610 11315 13268 15622 16585 19220 22630 31244 33170 39055 45260 66340 70153 78110 102827 140306 156220 205654 242141 280612 350765 411308 484282 514135 701530 874151 968564 1028270 1210705 1403060 1748302 2056540 2421410 3496604 4370755 4842820 7506371 8741510 15012742 17483020 27098681 30025484 37531855 54197362 63813023 75063710 93534157 108394724 127626046 135493405 150127420 187068314 255252092 270986810 319065115 374136628 467670785 541973620 638130230 840059111 935341570 1276260460 1680118222 1870683140 1978203713 2899558867 3360236444 3956407426 4200295555 5799117734 6827993461 7912814852 8400591110 9891018565 11598235468 13655986922 14497794335 16801182220 19782037130 27311973844 28995588670 34139967305 39564074260 57991177340 61324315103 68279934610 89886324877 122648630206 136559869220 179772649754 211667797291 245297260412 306621575515 359545299508 423335594582 449431624385 613243151030 846671189164 898863248770 1058338986455 1226486302060 1797726497540 2116677972910 4233355945820 6561701716021 13123403432042 26246806864084 32808508580105 65617017160210 131234034320420