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103321010001 = 31116326637213
BaseRepresentation
bin110000000111001101…
…0010111111101010001
3100212200121201010112010
41200032122113331101
53143100134310001
6115244235453133
710315251044256
oct1401632277521
9325617633463
10103321010001
113a900020070
1218035bb71a9
139987869b11
14500214942d
152a4aa8c8d6
hex180e697f51

103321010001 has 32 divisors (see below), whose sum is σ = 151284851712. Its totient is φ = 62202634560.

The previous prime is 103321009993. The next prime is 103321010011. The reversal of 103321010001 is 100010123301.

It is not a de Polignac number, because 103321010001 - 23 = 103321009993 is a prime.

It is a super-2 number, since 2×1033210100012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103321010011) 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 31 ways as a sum of consecutive naturals, for example, 14320671 + ... + 14327883.

It is an arithmetic number, because the mean of its divisors is an integer number (4727651616).

Almost surely, 2103321010001 is an apocalyptic number.

103321010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103321010001 is a deficient number, since it is larger than the sum of its proper divisors (47963841711).

103321010001 is a wasteful number, since it uses less digits than its factorization.

103321010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10053.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103321010001 its reverse (100010123301), we get a palindrome (203331133302).

The spelling of 103321010001 in words is "one hundred three billion, three hundred twenty-one million, ten thousand, one".

Divisors: 1 3 11 33 163 489 1793 2663 5379 7213 7989 21639 29293 79343 87879 238029 434069 1175719 1302207 3527157 4774759 12932909 14324277 19208219 38798727 57624657 211290409 633871227 3130939697 9392819091 34440336667 103321010001