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103022112012 = 22317505010353
BaseRepresentation
bin101111111110010011…
…0001010110100001100
3100211220210021112120020
41133330212022310030
53141442130041022
6115154441222140
710304661334461
oct1377446126414
9324823245506
10103022112012
113a767329636
1217b71a91950
13993a9667c1
144db4581668
152a2e6ea35c
hex17fc98ad0c

103022112012 has 24 divisors (see below), whose sum is σ = 254525218416. Its totient is φ = 32320662528.

The previous prime is 103022111921. The next prime is 103022112043. The reversal of 103022112012 is 210211220301.

103022112012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030221120122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103022111982 and 103022112000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252504973 + ... + 252505380.

It is an arithmetic number, because the mean of its divisors is an integer number (10605217434).

Almost surely, 2103022112012 is an apocalyptic number.

103022112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103022112012 is an abundant number, since it is smaller than the sum of its proper divisors (151503106404).

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

103022112012 is a wasteful number, since it uses less digits than its factorization.

103022112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505010377 (or 505010375 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 103022112012 its reverse (210211220301), we get a palindrome (313233332313).

The spelling of 103022112012 in words is "one hundred three billion, twenty-two million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 505010353 1010020706 1515031059 2020041412 3030062118 6060124236 8585176001 17170352002 25755528003 34340704004 51511056006 103022112012