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103112112300120 = 233257115237112377
BaseRepresentation
bin10111011100011110101000…
…110100110110000001011000
3111112002102101101122202010200
4113130132220310312001120
5102003342101222100440
61003145014521542200
730501414160213230
oct2734365064660130
9445072341582120
10103112112300120
112a9446682a2340
12b693999944960
13456c579979371
141b6691d65acc0
15bdc2b17a2c30
hex5dc7a8d36058

103112112300120 has 384 divisors, whose sum is σ = 418603843607040. Its totient is φ = 21384923166720.

The previous prime is 103112112300097. The next prime is 103112112300137. The reversal of 103112112300120 is 21003211211301.

103112112300120 is a `hidden beast` number, since 1 + 0 + 31 + 1 + 211 + 2 + 300 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103112112300093 and 103112112300102.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10941372 + ... + 18053748.

It is an arithmetic number, because the mean of its divisors is an integer number (1090114176060).

Almost surely, 2103112112300120 is an apocalyptic number.

103112112300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103112112300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209301921803520).

103112112300120 is an abundant number, since it is smaller than the sum of its proper divisors (315491731306920).

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

103112112300120 is a wasteful number, since it uses less digits than its factorization.

103112112300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7112935 (or 7112928 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103112112300120 its reverse (21003211211301), we get a palindrome (124115323511421).

The spelling of 103112112300120 in words is "one hundred three trillion, one hundred twelve billion, one hundred twelve million, three hundred thousand, one hundred twenty".