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100311331211 = 7131993553097
BaseRepresentation
bin101110101101100000…
…1010111000110001011
3100120220212110121101022
41131123001113012023
53120414200044321
6114025443543055
710150544150450
oct1353301270613
9316825417338
10100311331211
11395a6149923
121753608aa8b
1395c8176cb0
144bd8543827
152921735dab
hex175b05718b

100311331211 has 16 divisors (see below), whose sum is σ = 123522270144. Its totient is φ = 79327240704.

The previous prime is 100311331207. The next prime is 100311331229. The reversal of 100311331211 is 112133113001.

It is a cyclic number.

It is not a de Polignac number, because 100311331211 - 22 = 100311331207 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100311331211.

It is not an unprimeable number, because it can be changed into a prime (100311331711) 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 15 ways as a sum of consecutive naturals, for example, 95186 + ... + 457911.

It is an arithmetic number, because the mean of its divisors is an integer number (7720141884).

Almost surely, 2100311331211 is an apocalyptic number.

100311331211 is a deficient number, since it is larger than the sum of its proper divisors (23210938933).

100311331211 is a wasteful number, since it uses less digits than its factorization.

100311331211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555110.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 100311331211 its reverse (112133113001), we get a palindrome (212444444212).

The spelling of 100311331211 in words is "one hundred billion, three hundred eleven million, three hundred thirty-one thousand, two hundred eleven".

Divisors: 1 7 13 91 1993 13951 25909 181363 553097 3871679 7190261 50331827 1102322321 7716256247 14330190173 100311331211