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213113212331032 = 2313196710715044053
BaseRepresentation
bin110000011101001101001001…
…010100010110010000011000
31000221120102110012002212222101
4300131031021110112100120
5210413121324324043112
62033130505211133144
762613631033115236
oct6035151124262030
91027512405085871
10213113212331032
11619a4895568a92
121ba9a9277441b4
1391bb649b0c590
143a8aa3d707956
15199886c855757
hexc1d349516418

213113212331032 has 128 divisors (see below), whose sum is σ = 464030836819200. Its totient is φ = 90934434252288.

The previous prime is 213113212331009. The next prime is 213113212331087. The reversal of 213113212331032 is 230133212311312.

It is a super-3 number, since 3×2131132123310323 (a number of 44 digits) contains 333 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6643918 + ... + 21687970.

It is an arithmetic number, because the mean of its divisors is an integer number (3625240912650).

Almost surely, 2213113212331032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213113212331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232015418409600).

213113212331032 is an abundant number, since it is smaller than the sum of its proper divisors (250917624488168).

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

213113212331032 is a wasteful number, since it uses less digits than its factorization.

213113212331032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15044265 (or 15044261 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 213113212331032 its reverse (230133212311312), we get a palindrome (443246424642344).

The spelling of 213113212331032 in words is "two hundred thirteen trillion, one hundred thirteen billion, two hundred twelve million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 13 19 26 38 52 67 76 104 107 134 152 214 247 268 428 494 536 856 871 988 1273 1391 1742 1976 2033 2546 2782 3484 4066 5092 5564 6968 7169 8132 10184 11128 14338 16264 16549 26429 28676 33098 52858 57352 66196 93197 105716 132392 136211 186394 211432 272422 372788 544844 745576 1089688 1770743 3541486 7082972 14165944 15044053 30088106 60176212 120352424 195572689 285837007 391145378 571674014 782290756 1007951551 1143348028 1564581512 1609713671 2015903102 2286696056 3219427342 3715881091 4031806204 6438854684 7431762182 8063612408 12877709368 13103370163 14863524364 19151079469 20926277723 26206740326 29727048728 30584559749 38302158938 41852555446 52413480652 61169119498 76604317876 83705110892 104826961304 107850815957 122338238996 153208635752 167410221784 215701631914 244676477992 248964033097 397599276737 431403263828 497928066194 795198553474 862806527656 995856132388 1402060607441 1590397106948 1991712264776 2049165503183 2804121214882 3180794213896 4098331006366 5608242429764 8196662012732 11216484859528 16393324025464 26639151541379 53278303082758 106556606165516 213113212331032