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103064460301 = 11191014882489
BaseRepresentation
bin101111111111100011…
…1101101110000001101
3100212000201222001111101
41133333013231300031
53142034000212201
6115202553023101
710306014313045
oct1377707556015
9325021861441
10103064460301
113a789223520
1217b840b4a91
13994667316a
144dba046725
152a332b2d01
hex17ff1edc0d

103064460301 has 16 divisors (see below), whose sum is σ = 119523355200. Its totient is φ = 87884784000.

The previous prime is 103064460271. The next prime is 103064460313.

103064460301 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 103064460301 - 25 = 103064460269 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103064460301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103064460601) 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, 2420136 + ... + 2462353.

It is an arithmetic number, because the mean of its divisors is an integer number (7470209700).

Almost surely, 2103064460301 is an apocalyptic number.

103064460301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103064460301 is a deficient number, since it is larger than the sum of its proper divisors (16458894899).

103064460301 is a wasteful number, since it uses less digits than its factorization.

103064460301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4882620.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 103064 and 460301, that added together give a palindrome (563365).

The spelling of 103064460301 in words is "one hundred three billion, sixty-four million, four hundred sixty thousand, three hundred one".

Divisors: 1 11 19 101 209 1111 1919 21109 4882489 53707379 92767291 493131389 1020440201 5424445279 9369496391 103064460301