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103121121301 = 11101421220471
BaseRepresentation
bin110000000001001111…
…1110111000000010101
3100212011200120201202221
41200002133313000111
53142143001340201
6115212335302341
710310303032342
oct1400237670025
9325150521687
10103121121301
113a8082037a0
1217b9b07a9b1
139955321393
144dc37957c9
152a382564a1
hex18027f7015

103121121301 has 16 divisors (see below), whose sum is σ = 113879961216. Its totient is φ = 92597400000.

The previous prime is 103121121281. The next prime is 103121121307.

It is a happy number.

103121121301 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 103121121301 - 233 = 94531186709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103121121307) 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, 357496 + ... + 577966.

It is an arithmetic number, because the mean of its divisors is an integer number (7117497576).

Almost surely, 2103121121301 is an apocalyptic number.

103121121301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103121121301 is a deficient number, since it is larger than the sum of its proper divisors (10758839915).

103121121301 is a wasteful number, since it uses less digits than its factorization.

103121121301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221004.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 103121 and 121301, that added together give a palindrome (224422).

The spelling of 103121121301 in words is "one hundred three billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred one".

Divisors: 1 11 101 421 1111 4631 42521 220471 467731 2425181 22267571 92818291 244943281 1021001201 9374647391 103121121301