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86221881130341 = 311431303367112703
BaseRepresentation
bin10011100110101100011000…
…100110001011110101100101
3102022021201202010212211222110
4103212230120212023311211
542300124403032132331
6503213441350151233
724106216410121455
oct2346543046136545
9368251663784873
1086221881130341
1125522549109890
129806465652519
1339158c4843888
141741238901d65
159e7c67ce3946
hex4e6b1898bd65

86221881130341 has 64 divisors (see below), whose sum is σ = 128473827508224. Its totient is φ = 50983358731200.

The previous prime is 86221881130339. The next prime is 86221881130349. The reversal of 86221881130341 is 14303118812268.

It is not a de Polignac number, because 86221881130341 - 21 = 86221881130339 is a prime.

It is a super-3 number, since 3×862218811303413 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86221881130349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6787514796 + ... + 6787527498.

It is an arithmetic number, because the mean of its divisors is an integer number (2007403554816).

Almost surely, 286221881130341 is an apocalyptic number.

It is an amenable number.

86221881130341 is a deficient number, since it is larger than the sum of its proper divisors (42251946377883).

86221881130341 is a wasteful number, since it uses less digits than its factorization.

86221881130341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17734.

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 86221881130341 in words is "eighty-six trillion, two hundred twenty-one billion, eight hundred eighty-one million, one hundred thirty thousand, three hundred forty-one".

Divisors: 1 3 11 33 43 129 473 1303 1419 3671 3909 11013 12703 14333 38109 40381 42999 56029 121143 139733 157853 168087 419199 473559 546229 616319 1638687 1736383 1848957 4783313 5209149 6008519 14349939 16552009 18025557 46632713 49656027 52616443 139898139 157849329 182072099 205682459 512959843 546216297 617047377 711736387 1538879529 2005206659 2135209161 2262507049 6015619977 6787521147 7829100257 22057273249 23487300771 60762425039 66171819747 182287275117 668386675429 2005160026287 2612784276677 7838352830031 28740627043447 86221881130341