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213143343134130 = 232519183301680003
BaseRepresentation
bin110000011101101001001101…
…010000001111010110110010
31000221200022020001112021110200
4300131221031100033112302
5210414120031320243010
62033152411114540030
762616045511531233
oct6035511520172662
91027608201467420
10213143343134130
1161a06647622352
121baa4736437616
1391c143c311856
143a8c29b28108a
151999532bbacc0
hexc1da4d40f5b2

213143343134130 has 96 divisors (see below), whose sum is σ = 583343716213440. Its totient is φ = 53846366371200.

The previous prime is 213143343134053. The next prime is 213143343134153. The reversal of 213143343134130 is 31431343341312.

213143343134130 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 4 + 334 + 313 + 4 + 1 + 3 + 0 = 666.

It is a super-2 number, since 2×2131433431341302 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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, 313104709 + ... + 313784711.

It is an arithmetic number, because the mean of its divisors is an integer number (6076497043890).

Almost surely, 2213143343134130 is an apocalyptic number.

213143343134130 is an abundant number, since it is smaller than the sum of its proper divisors (370200373079310).

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

213143343134130 is a wasteful number, since it uses less digits than its factorization.

213143343134130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863336 (or 863333 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 213143343134130 its reverse (31431343341312), we get a palindrome (244574686475442).

The spelling of 213143343134130 in words is "two hundred thirteen trillion, one hundred forty-three billion, three hundred forty-three million, one hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 183301 366602 549903 680003 916505 1099806 1360006 1649709 1833010 2040009 2749515 3299418 3400015 3482719 4080018 5499030 6120027 6800030 6965438 8248545 10200045 10448157 12240054 12920057 16497090 17413595 20400090 20896314 25840114 30600135 31344471 34827190 38760171 52240785 61200270 62688942 64600285 77520342 104481570 116280513 129200570 156722355 193800855 232561026 313444710 387601710 581402565 1162805130 124645229903 249290459806 373935689709 623226149515 747871379418 1121807069127 1246452299030 1869678448545 2243614138254 2368259368157 3739356897090 4736518736314 5609035345635 7104778104471 11218070691270 11841296840785 14209556208942 21314334313413 23682593681570 35523890522355 42628668626826 71047781044710 106571671567065 213143343134130