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101232013113 = 33711129137717
BaseRepresentation
bin101111001000111100…
…1011110111100111001
3100200022000220002112000
41132101321132330321
53124310343404423
6114301053211213
710212423625320
oct1362171367471
9320260802460
10101232013113
1139a28917860
1217752490b09
139713b3229a
144c849250b7
15297749a843
hex1791e5ef39

101232013113 has 64 divisors (see below), whose sum is σ = 187129559040. Its totient is φ = 52545931200.

The previous prime is 101232013111. The next prime is 101232013121. The reversal of 101232013113 is 311310232101.

It is not a de Polignac number, because 101232013113 - 21 = 101232013111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101232013111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2665131 + ... + 2702847.

It is an arithmetic number, because the mean of its divisors is an integer number (2923899360).

Almost surely, 2101232013113 is an apocalyptic number.

It is an amenable number.

101232013113 is a deficient number, since it is larger than the sum of its proper divisors (85897545927).

101232013113 is a wasteful number, since it uses less digits than its factorization.

101232013113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39035 (or 39029 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101232013113 its reverse (311310232101), we get a palindrome (412542245214).

The spelling of 101232013113 in words is "one hundred one billion, two hundred thirty-two million, thirteen thousand, one hundred thirteen".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 1291 2079 3873 9037 11619 14201 27111 34857 37717 42603 81333 99407 113151 127809 243999 264019 298221 339453 383427 414887 792057 894663 1018359 1244661 2376171 2683989 2904209 3733983 7128513 8712627 11201949 26137881 48692647 78413643 146077941 340848529 438233823 535619117 1022545587 1314701469 1606857351 3067636761 3749333819 4820572053 9202910283 11248001457 14461716159 33744004371 101232013113