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103113012101 = 1183281401917
BaseRepresentation
bin110000000001000000…
…0111011001110000101
3100212011010022202001012
41200002000323032011
53142133412341401
6115211445412005
710310144066351
oct1400200731605
9325133282035
10103113012101
113a803675180
1217b9840a005
139953742338
144dc2684461
152a376a38bb
hex180203b385

103113012101 has 16 divisors (see below), whose sum is σ = 114247603008. Its totient is φ = 92279913600.

The previous prime is 103113012077. The next prime is 103113012131. The reversal of 103113012101 is 101210311301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 103113012101 - 214 = 103112995717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103113012131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55595 + ... + 457511.

It is an arithmetic number, because the mean of its divisors is an integer number (7140475188).

Almost surely, 2103113012101 is an apocalyptic number.

103113012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103113012101 is a deficient number, since it is larger than the sum of its proper divisors (11134590907).

103113012101 is a wasteful number, since it uses less digits than its factorization.

103113012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402292.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 103113012101 its reverse (101210311301), we get a palindrome (204323323402).

The spelling of 103113012101 in words is "one hundred three billion, one hundred thirteen million, twelve thousand, one hundred one".

Divisors: 1 11 83 281 913 3091 23323 256553 401917 4421087 33359111 112938677 366950221 1242325447 9373910191 103113012101