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133110020333121 = 313213713327143797
BaseRepresentation
bin11110010001000000010111…
…011110100101111001000001
3122110022012020011221120101120
4132101000113132211321001
5114421333310201124441
61151033522115022453
740015611251313336
oct3621002736457101
9573265204846346
10133110020333121
113945a708341647
1212b1974459aa29
1359372b4880c00
1424c27b8c4c98d
15105c76ca9e966
hex7910177a5e41

133110020333121 has 48 divisors (see below), whose sum is σ = 193601178779904. Its totient is φ = 81309280246272.

The previous prime is 133110020333099. The next prime is 133110020333153. The reversal of 133110020333121 is 121333020011331.

It is not a de Polignac number, because 133110020333121 - 210 = 133110020332097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133110020333091 and 133110020333100.

It is not an unprimeable number, because it can be changed into a prime (133110020333161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925608195 + ... + 925751991.

It is an arithmetic number, because the mean of its divisors is an integer number (4033357891248).

Almost surely, 2133110020333121 is an apocalyptic number.

It is an amenable number.

133110020333121 is a deficient number, since it is larger than the sum of its proper divisors (60491158446783).

133110020333121 is a wasteful number, since it uses less digits than its factorization.

133110020333121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157290 (or 157277 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 133110020333121 its reverse (121333020011331), we get a palindrome (254443040344452).

The spelling of 133110020333121 in words is "one hundred thirty-three trillion, one hundred ten billion, twenty million, three hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 13 39 137 169 411 507 1781 5343 13327 23153 39981 69459 143797 173251 431391 519753 1825799 1869361 2252263 5477397 5608083 6756789 19700189 23735387 24301693 59100567 71206161 72905079 256102457 308560031 768307371 925680093 1916382619 3329331941 5749147857 9987995823 24912974047 74738922141 262544418803 323868662611 787633256409 971605987833 3413077444439 10239232333317 44370006777707 133110020333121