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103213313001 = 3217821821677
BaseRepresentation
bin110000000011111111…
…1100010101111101001
3100212102010001120000100
41200013333202233221
53142340102004001
6115225431300013
710312502453661
oct1400777425751
9325363046010
10103213313001
113a855251787
1218005b1a609
13996b45ca96
144dd1b131a1
152a413b7586
hex1807fe2be9

103213313001 has 24 divisors (see below), whose sum is σ = 158048119944. Its totient is φ = 64682334720.

The previous prime is 103213312999. The next prime is 103213313023. The reversal of 103213313001 is 100313312301.

It is a happy number.

103213313001 is a `hidden beast` number, since 1 + 0 + 32 + 1 + 331 + 300 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51393343401 + 51819969600 = 226701^2 + 227640^2 .

It is not a de Polignac number, because 103213313001 - 21 = 103213312999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103213313501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285226 + ... + 536451.

It is an arithmetic number, because the mean of its divisors is an integer number (6585338331).

Almost surely, 2103213313001 is an apocalyptic number.

It is an amenable number.

103213313001 is a deficient number, since it is larger than the sum of its proper divisors (54834806943).

103213313001 is a wasteful number, since it uses less digits than its factorization.

103213313001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822521 (or 822518 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103213313001 its reverse (100313312301), we get a palindrome (203526625302).

The spelling of 103213313001 in words is "one hundred three billion, two hundred thirteen million, three hundred thirteen thousand, one".

Divisors: 1 3 9 17 51 153 821 2463 7389 13957 41871 125613 821677 2465031 7395093 13968509 41905527 125716581 674596817 2023790451 6071371353 11468145889 34404437667 103213313001