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101113131012 = 223174571084579
BaseRepresentation
bin101111000101011001…
…1111111000000000100
3100122222202012020221020
41132022303333000010
53124034430143022
6114241205151140
710206451301265
oct1361263770004
9318882166836
10101113131012
11399777a9993
121771a6bb4b0
1396c530a14a
144c72c1a96c
15296bd1635c
hex178acff004

101113131012 has 48 divisors (see below), whose sum is σ = 250355770560. Its totient is φ = 31652324352.

The previous prime is 101113130953. The next prime is 101113131019. The reversal of 101113131012 is 210131311101.

It is a super-2 number, since 2×1011131310122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101113130982 and 101113131000.

It is not an unprimeable number, because it can be changed into a prime (101113131019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449062 + ... + 635517.

It is an arithmetic number, because the mean of its divisors is an integer number (5215745220).

Almost surely, 2101113131012 is an apocalyptic number.

101113131012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101113131012 is an abundant number, since it is smaller than the sum of its proper divisors (149242639548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101113131012 is a wasteful number, since it uses less digits than its factorization.

101113131012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085060 (or 1085058 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101113131012 its reverse (210131311101), we get a palindrome (311244442113).

The spelling of 101113131012 in words is "one hundred one billion, one hundred thirteen million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 457 914 1371 1828 2742 5484 7769 15538 23307 31076 46614 93228 1084579 2169158 3253737 4338316 6507474 13014948 18437843 36875686 55313529 73751372 110627058 221254116 495652603 991305206 1486957809 1982610412 2973915618 5947831236 8426094251 16852188502 25278282753 33704377004 50556565506 101113131012