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100202341213 = 1323417780231
BaseRepresentation
bin101110101010010000…
…1100110001101011101
3100120122021101100012201
41131110201212031131
53120203244404323
6114010551531501
710145051563402
oct1352441461535
9316567340181
10100202341213
113954a678047
1217505689b91
1395ab706580
144bc7c922a9
152916da78ad
hex175486635d

100202341213 has 16 divisors (see below), whose sum is σ = 112630323456. Its totient is φ = 88450686720.

The previous prime is 100202341207. The next prime is 100202341241. The reversal of 100202341213 is 312143202001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100202341213 is a prime.

It is a super-2 number, since 2×1002023412132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202341513) 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, 1208808 + ... + 1289038.

It is an arithmetic number, because the mean of its divisors is an integer number (7039395216).

Almost surely, 2100202341213 is an apocalyptic number.

100202341213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100202341213 is a deficient number, since it is larger than the sum of its proper divisors (12427982243).

100202341213 is a wasteful number, since it uses less digits than its factorization.

100202341213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84444.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100202341213 its reverse (312143202001), we get a palindrome (412345543214).

The spelling of 100202341213 in words is "one hundred billion, two hundred two million, three hundred forty-one thousand, two hundred thirteen".

Divisors: 1 13 23 299 4177 54301 80231 96071 1043003 1248923 1845313 23989069 335124887 4356623531 7707872401 100202341213