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131355656454 = 2311231011974349
BaseRepresentation
bin111101001010101101…
…0000100000100000110
3110120001101211201200010
41322111122010010012
54123004022001304
6140202143331050
712330054441351
oct1722532040406
9416041751603
10131355656454
1150786930970
122155a8b0a86
13c5049c8709
146501557298
15363bd99789
hex1e95684106

131355656454 has 128 divisors (see below), whose sum is σ = 303618585600. Its totient is φ = 37497152000.

The previous prime is 131355656417. The next prime is 131355656473. The reversal of 131355656454 is 454656553131.

It is a super-2 number, since 2×1313556564542 (a number of 23 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 63 ways as a sum of consecutive naturals, for example, 30201472 + ... + 30205820.

It is an arithmetic number, because the mean of its divisors is an integer number (2372020200).

Almost surely, 2131355656454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131355656454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151809292800).

131355656454 is an abundant number, since it is smaller than the sum of its proper divisors (172262929146).

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

131355656454 is a wasteful number, since it uses less digits than its factorization.

131355656454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686.

The product of its digits is 3240000, while the sum is 48.

The spelling of 131355656454 in words is "one hundred thirty-one billion, three hundred fifty-five million, six hundred fifty-six thousand, four hundred fifty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 101 138 197 202 253 303 394 506 591 606 759 1111 1182 1518 2167 2222 2323 3333 4334 4349 4531 4646 6501 6666 6969 8698 9062 13002 13047 13593 13938 19897 25553 26094 27186 39794 47839 49841 51106 59691 76659 95678 99682 100027 119382 143517 149523 153318 200054 218867 287034 299046 300081 437734 439249 457631 600162 656601 856753 878498 915262 1100297 1313202 1317747 1372893 1713506 2200594 2570259 2635494 2745786 3300891 4831739 5033941 5140518 6601782 9424283 9663478 10067882 10102727 14495217 15101823 18848566 19705319 20205454 28272849 28990434 30203646 30308181 39410638 56545698 59115957 60616362 86532053 111129997 118231914 173064106 216758509 222259994 259596159 333389991 433517018 519192318 650275527 666779982 951852583 1300551054 1903705166 1990237219 2855557749 3980474438 5711115498 5970711657 11941423314 21892609409 43785218818 65677828227 131355656454