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122133033033 = 31123859918713
BaseRepresentation
bin111000110111110110…
…0100011000001001001
3102200020122211220201220
41301233230203001021
54000112024024113
6132035050432253
711552366436414
oct1615754430111
9380218756656
10122133033033
1147883a05440
121b806132689
13b69509c8ab
145ca8750b7b
15329c395523
hex1c6fb23049

122133033033 has 32 divisors (see below), whose sum is σ = 185403340800. Its totient is φ = 70789741440.

The previous prime is 122133033023. The next prime is 122133033053. The reversal of 122133033033 is 330330331221.

It is not a de Polignac number, because 122133033033 - 24 = 122133033017 is a prime.

It is a super-5 number, since 5×1221330330335 (a number of 57 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122133032994 and 122133033012.

It is not an unprimeable number, because it can be changed into a prime (122133033023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6517285 + ... + 6535997.

It is an arithmetic number, because the mean of its divisors is an integer number (5793854400).

Almost surely, 2122133033033 is an apocalyptic number.

It is an amenable number.

122133033033 is a deficient number, since it is larger than the sum of its proper divisors (63270307767).

122133033033 is a wasteful number, since it uses less digits than its factorization.

122133033033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27349.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 122133033033 its reverse (330330331221), we get a palindrome (452463364254).

The spelling of 122133033033 in words is "one hundred twenty-two billion, one hundred thirty-three million, thirty-three thousand, thirty-three".

Divisors: 1 3 11 23 33 69 253 759 8599 18713 25797 56139 94589 197777 205843 283767 430399 593331 617529 1291197 2175547 4734389 6526641 14203167 160913087 482739261 1770043957 3701001001 5310131871 11103003003 40711011011 122133033033