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331131112130 = 257131923338209
BaseRepresentation
bin1001101000110001111…
…00111100101011000010
31011122201002121101021002
410310120330330223002
520411124031042010
6412041452532002
732631511004240
oct4643074745302
91148632541232
10331131112130
11118482975645
1254213181002
13252c1648910
14120538a7790
1589307671a5
hex4d18f3cac2

331131112130 has 128 divisors (see below), whose sum is σ = 772617484800. Its totient is φ = 99227234304.

The previous prime is 331131112051. The next prime is 331131112157. The reversal of 331131112130 is 31211131133.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40333466 + ... + 40341674.

It is an arithmetic number, because the mean of its divisors is an integer number (6036074100).

Almost surely, 2331131112130 is an apocalyptic number.

331131112130 is an abundant number, since it is smaller than the sum of its proper divisors (441486372670).

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

331131112130 is a wasteful number, since it uses less digits than its factorization.

331131112130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10588.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 331131112130 its reverse (31211131133), we get a palindrome (362342243263).

The spelling of 331131112130 in words is "three hundred thirty-one billion, one hundred thirty-one million, one hundred twelve thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 19 26 35 38 65 70 91 95 130 133 182 190 247 266 455 494 665 910 1235 1330 1729 2333 2470 3458 4666 8209 8645 11665 16331 16418 17290 23330 30329 32662 41045 44327 57463 60658 81655 82090 88654 106717 114926 151645 155971 163310 212303 213434 221635 287315 303290 310289 311942 424606 443270 533585 574630 576251 620578 747019 779855 1061515 1067170 1091797 1152502 1494038 1551445 1559710 2027623 2123030 2183594 2881255 3102890 3735095 4033757 4055246 5458985 5762510 7470190 8067514 10138115 10917970 14193361 19151597 20168785 20276230 28386722 38303194 40337570 70966805 95757985 134061179 141933610 191515970 248970761 268122358 363880343 497941522 670305895 727760686 1244853805 1340611790 1742795327 1819401715 2489707610 2547162401 3485590654 3638803430 4730444459 5094324802 8713976635 9460888918 12735812005 17427953270 23652222295 25471624010 33113111213 47304444590 66226222426 165565556065 331131112130