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103122113100 = 22352343740377
BaseRepresentation
bin110000000001010001…
…1101001001001001100
3100212011202110010021020
41200002203221021030
53142143230104400
6115212412434140
710310314333026
oct1400243511114
9325152403236
10103122113100
113a808820966
1217b9b478950
1399555aa946
144dc3973016
152a383a02a0
hex18028e924c

103122113100 has 36 divisors (see below), whose sum is σ = 298366648104. Its totient is φ = 27499230080.

The previous prime is 103122113089. The next prime is 103122113113. The reversal of 103122113100 is 1311221301.

It is a happy number.

It is a super-2 number, since 2×1031221131002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103122113100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171869889 + ... + 171870488.

Almost surely, 2103122113100 is an apocalyptic number.

103122113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103122113100 is an abundant number, since it is smaller than the sum of its proper divisors (195244535004).

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

103122113100 is a wasteful number, since it uses less digits than its factorization.

103122113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343740394 (or 343740387 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 103122113100 its reverse (1311221301), we get a palindrome (104433334401).

The spelling of 103122113100 in words is "one hundred three billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 343740377 687480754 1031221131 1374961508 1718701885 2062442262 3437403770 4124884524 5156105655 6874807540 8593509425 10312211310 17187018850 20624422620 25780528275 34374037700 51561056550 103122113100