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131145214324 = 2217374110312343
BaseRepresentation
bin111101000100011011…
…1010010100101110100
3110112111201212011100011
41322020313102211310
54122041133324244
6140125225030004
712321620633425
oct1721067224564
9415451764304
10131145214324
1150689066653
1221500325304
13c4a0226547
1464c161764c
15362867b434
hex1e88dd2974

131145214324 has 96 divisors (see below), whose sum is σ = 258162218496. Its totient is φ = 58009374720.

The previous prime is 131145214289. The next prime is 131145214339. The reversal of 131145214324 is 423412541131.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10618897 + ... + 10631239.

It is an arithmetic number, because the mean of its divisors is an integer number (2689189776).

Almost surely, 2131145214324 is an apocalyptic number.

It is an amenable number.

131145214324 is a deficient number, since it is larger than the sum of its proper divisors (127017004172).

131145214324 is a wasteful number, since it uses less digits than its factorization.

131145214324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12545 (or 12543 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

Adding to 131145214324 its reverse (423412541131), we get a palindrome (554557755455).

The spelling of 131145214324 in words is "one hundred thirty-one billion, one hundred forty-five million, two hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 4 17 34 37 41 68 74 82 103 148 164 206 412 629 697 1258 1394 1517 1751 2516 2788 3034 3502 3811 4223 6068 7004 7622 8446 12343 15244 16892 24686 25789 49372 51578 64787 71791 103156 129574 143582 156251 209831 259148 287164 312502 419662 456691 506063 625004 839324 913382 1012126 1271329 1826764 2024252 2542658 2656267 5085316 5312534 7763747 8603071 10625068 15527494 17206142 18724331 21612593 31054988 34412284 37448662 43225186 47039173 52124489 74897324 86450372 94078346 104248978 188156692 208497956 318313627 636627254 799665941 886116313 1273254508 1599331882 1772232626 1928606093 3198663764 3544465252 3857212186 7714424372 32786303581 65572607162 131145214324