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131300240242398 = 231093971999252979
BaseRepresentation
bin11101110110101010111000…
…001011011011011011011110
3122012220011212111102022121120
4131312222320023123123132
5114202210343000224043
61143130255254511410
736441062232335253
oct3566527013333336
9565804774368546
10131300240242398
1138922134699057
1212886a48965566
135835737386896
14245cd7360342a
15102a649626983
hex776ab82db6de

131300240242398 has 64 divisors (see below), whose sum is σ = 265811145600000. Its totient is φ = 43234174963584.

The previous prime is 131300240242291. The next prime is 131300240242417. The reversal of 131300240242398 is 893242042003131.

It is a super-2 number, since 2×1313002402423982 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518889873 + ... + 519142851.

It is an arithmetic number, because the mean of its divisors is an integer number (4153299150000).

Almost surely, 2131300240242398 is an apocalyptic number.

131300240242398 is an abundant number, since it is smaller than the sum of its proper divisors (134510905357602).

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

131300240242398 is a wasteful number, since it uses less digits than its factorization.

131300240242398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255489.

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 131300240242398 in words is "one hundred thirty-one trillion, three hundred billion, two hundred forty million, two hundred forty-two thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 109 218 327 397 654 794 1191 1999 2382 3998 5997 11994 43273 86546 129819 217891 252979 259638 435782 505958 653673 758937 793603 1307346 1517874 1587206 2380809 4761618 27574711 55149422 82724133 86502727 100432663 165448266 173005454 200865326 259508181 301297989 505705021 519016362 602595978 1011410042 1517115063 3034230126 10947160267 21894320534 32841480801 55121847289 65682961602 110243694578 165365541867 200764893337 330731083734 401529786674 602294680011 1204589360022 21883373373733 43766746747466 65650120121199 131300240242398