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130233211121322 = 2322310312724048083
BaseRepresentation
bin11101100111001001001000…
…010010010110111010101010
3122002010011200101212201222200
4131213021020102112322222
5114032220104021340242
61140552151121401030
736301016243424201
oct3547111022267252
9562104611781880
10130233211121322
113855065a561431
121273409aa99176
135788c2930002a
14242346cd6a238
15100c9e84e004c
hex767248496eaa

130233211121322 has 96 divisors (see below), whose sum is σ = 299639896178688. Its totient is φ = 40796705382048.

The previous prime is 130233211121231. The next prime is 130233211121323. The reversal of 130233211121322 is 223121112332031.

130233211121322 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 3 + 3 + 211 + 121 + 322 = 666.

It is not an unprimeable number, because it can be changed into a prime (130233211121323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6608508 + ... + 17439575.

It is an arithmetic number, because the mean of its divisors is an integer number (3121248918528).

Almost surely, 2130233211121322 is an apocalyptic number.

130233211121322 is an abundant number, since it is smaller than the sum of its proper divisors (169406685057366).

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

130233211121322 is a wasteful number, since it uses less digits than its factorization.

130233211121322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24048344 (or 24048341 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 130233211121322 its reverse (223121112332031), we get a palindrome (353354323453353).

The spelling of 130233211121322 in words is "one hundred thirty trillion, two hundred thirty-three billion, two hundred eleven million, one hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 103 127 138 206 207 254 309 381 414 618 762 927 1143 1854 2286 2369 2921 4738 5842 7107 8763 13081 14214 17526 21321 26162 26289 39243 42642 52578 78486 117729 235458 300863 601726 902589 1805178 2707767 5415534 24048083 48096166 72144249 144288498 216432747 432865494 553105909 1106211818 1659317727 2476952549 3054106541 3318635454 4953905098 4977953181 6108213082 7430857647 9162319623 9955906362 14861715294 18324639246 22292572941 27486958869 44585145882 54973917738 56969908627 70244450443 113939817254 140488900886 170909725881 210733351329 314572973723 341819451762 421466702658 512729177643 629145947446 632200053987 943718921169 1025458355286 1264400107974 1887437842338 2831156763507 5662313527014 7235178395629 14470356791258 21705535186887 43411070373774 65116605560661 130233211121322