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331213032133233 = 317292631225369493
BaseRepresentation
bin100101101001111001000101…
…1001000000001001001110001
31121102201122201200121102021220
41023103302023020001021301
5321403043242211230413
63132233055535535253
7126523231462162005
oct11323621310011161
91542648650542256
10331213032133233
1196597726a2a208
123119337a38a529
13112a73410716b3
145bb0b2103c705
1528459274c1223
hex12d3c8b201271

331213032133233 has 64 divisors (see below), whose sum is σ = 485604680394240. Its totient is φ = 199871605075968.

The previous prime is 331213032133219. The next prime is 331213032133279. The reversal of 331213032133233 is 332331230312133.

It is not a de Polignac number, because 331213032133233 - 220 = 331213031084657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331213032133194 and 331213032133203.

It is not an unprimeable number, because it can be changed into a prime (331213032133213) 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, 4766100435 + ... + 4766169927.

It is an arithmetic number, because the mean of its divisors is an integer number (7587573131160).

Almost surely, 2331213032133233 is an apocalyptic number.

It is an amenable number.

331213032133233 is a deficient number, since it is larger than the sum of its proper divisors (154391648261007).

331213032133233 is a wasteful number, since it uses less digits than its factorization.

331213032133233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82058.

The product of its (nonzero) digits is 52488, while the sum is 33.

Adding to 331213032133233 its reverse (332331230312133), we get a palindrome (663544262445366).

The spelling of 331213032133233 in words is "three hundred thirty-one trillion, two hundred thirteen billion, thirty-two million, one hundred thirty-three thousand, two hundred thirty-three".

Divisors: 1 3 17 29 51 87 263 493 789 1479 4471 7627 12253 13413 22881 36759 69493 129659 208301 208479 355337 388977 624903 1066011 1181381 2015297 3222539 3544143 6040729 6045891 9667617 18122187 18276659 34260049 54783163 54829977 93453631 102780147 164349489 280360893 310703203 530023111 851497729 932109609 1588711727 1590069333 2554493187 4766135181 9010392887 14475461393 24693434141 27031178661 43426384179 74080302423 223943902727 419788380397 671831708181 1259365141191 3807046346359 6494373179083 11421139039077 19483119537249 110404344044411 331213032133233