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233121023000031 = 317318910715483737
BaseRepresentation
bin110101000000010110110111…
…110000111111110111011111
31010120102011002220201111020010
4311000112313300333313133
5221023423323342000111
62143450153003054303
7100050303161546655
oct6500266760776737
91116364086644203
10233121023000031
1168309086038271
12221904bab11393
13a0102ab34633a
14417d191026dd5
151be402d288aa6
hexd405b7c3fddf

233121023000031 has 64 divisors (see below), whose sum is σ = 346756454461440. Its totient is φ = 138654997831680.

The previous prime is 233121023000017. The next prime is 233121023000081. The reversal of 233121023000031 is 130000320121332.

It is not a de Polignac number, because 233121023000031 - 27 = 233121022999903 is a prime.

It is a super-2 number, since 2×2331210230000312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233121022999971 and 233121023000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233121023000081) 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, 7313995 + ... + 22797731.

It is an arithmetic number, because the mean of its divisors is an integer number (5418069600960).

Almost surely, 2233121023000031 is an apocalyptic number.

233121023000031 is a deficient number, since it is larger than the sum of its proper divisors (113635431461409).

233121023000031 is a wasteful number, since it uses less digits than its factorization.

233121023000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15483984.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 233121023000031 its reverse (130000320121332), we get a palindrome (363121343121363).

The spelling of 233121023000031 in words is "two hundred thirty-three trillion, one hundred twenty-one billion, twenty-three million, thirty-one", and thus it is an aban number.

Divisors: 1 3 17 31 51 89 93 107 267 321 527 1513 1581 1819 2759 3317 4539 5457 8277 9523 9951 28569 46903 56389 140709 161891 169167 295213 485673 885639 5018621 15055863 15483737 46451211 263223529 479995847 789670587 1378052593 1439987541 1656759859 4134157779 4970279577 8159929399 23426894081 24479788197 28164917603 42719630383 51359555629 70280682243 84494752809 128158891149 147451627451 154078666887 442354882353 726233716511 873112445693 2178701149533 2506677666667 2619337337079 4571000450981 7520033000001 13713001352943 77707007666677 233121023000031