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103479974301 = 3111012307397
BaseRepresentation
bin110000001011111100…
…0110001100110011101
3100220002200211100112210
41200113320301212131
53143411333134201
6115312114551033
710322221161114
oct1402770614635
9326080740483
10103479974301
113a981825320
121807b298479
1399b1787032
1450192c8c7b
152a599dd1d6
hex1817e3199d

103479974301 has 24 divisors (see below), whose sum is σ = 152021836512. Its totient is φ = 62093992000.

The previous prime is 103479974267. The next prime is 103479974327.

103479974301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 103479974301 - 26 = 103479974237 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103479904301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182935 + ... + 490331.

It is an arithmetic number, because the mean of its divisors is an integer number (6334243188).

Almost surely, 2103479974301 is an apocalyptic number.

103479974301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103479974301 is a deficient number, since it is larger than the sum of its proper divisors (48541862211).

103479974301 is a wasteful number, since it uses less digits than its factorization.

103479974301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307613 (or 307512 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 103479974301 in words is "one hundred three billion, four hundred seventy-nine million, nine hundred seventy-four thousand, three hundred one".

Divisors: 1 3 11 33 101 303 1111 3333 10201 30603 112211 307397 336633 922191 3381367 10144101 31047097 93141291 341518067 1024554201 3135756797 9407270391 34493324767 103479974301