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3332010100133 = 1113972774631873
BaseRepresentation
bin110000011111001011010…
…001110100010110100101
3102210112111111211212120102
4300133023101310112211
5414042424041201013
611030412044113445
7462505213354511
oct60371321642645
912715444755512
103332010100133
111075108921a90
12459923535885
131b22902c6260
14b73ad40b141
155ba17236d58
hex307cb4745a5

3332010100133 has 64 divisors (see below), whose sum is σ = 3979859315712. Its totient is φ = 2749852385280.

The previous prime is 3332010100121. The next prime is 3332010100171. The reversal of 3332010100133 is 3310010102333.

3332010100133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3332010100133 - 210 = 3332010099109 is a prime.

It is a super-2 number, since 2×33320101001332 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332010100633) 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, 1778968685 + ... + 1778970557.

It is an arithmetic number, because the mean of its divisors is an integer number (62185301808).

Almost surely, 23332010100133 is an apocalyptic number.

It is an amenable number.

3332010100133 is a deficient number, since it is larger than the sum of its proper divisors (647849215579).

3332010100133 is a wasteful number, since it uses less digits than its factorization.

3332010100133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 3332010100133 its reverse (3310010102333), we get a palindrome (6642020202466).

The spelling of 3332010100133 in words is "three trillion, three hundred thirty-two billion, ten million, one hundred thousand, one hundred thirty-three".

Divisors: 1 11 13 97 143 277 463 1067 1261 1873 3047 3601 5093 6019 13871 20603 24349 26869 39611 44911 66209 128251 181681 267839 295559 349297 494021 518821 583843 867199 1410761 1667263 1998491 2361853 3842267 5707031 6422273 6744673 9539189 11273587 12440347 18339893 25980383 50325637 74191403 84118303 124009457 136843817 161724511 240214123 553582007 654233281 925301333 1093537939 1778969621 2642355353 3122783599 7196566091 12028917329 23300769931 34350619589 256308469241 302910009103 3332010100133