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102122022101113 = 747657306122087
BaseRepresentation
bin10111001110000100100010…
…110110011110000001111001
3111101120202210022021101000001
4113032010202312132001321
5101341131400124213423
61001110113112513001
730340033623324250
oct2716044266360171
9441522708241001
10102122022101113
112a5a2785184623
12b553b226ab761
1344ca0b07a95c1
141b30a373b7797
15bc166502dcad
hex5ce122d9e079

102122022101113 has 8 divisors (see below), whose sum is σ = 116713331759232. Its totient is φ = 87531324782496.

The previous prime is 102122022101081. The next prime is 102122022101123. The reversal of 102122022101113 is 311101220221201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102122022101113 - 25 = 102122022101081 is a prime.

It is a super-3 number, since 3×1021220221011133 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102122022101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152727445 + ... + 153394642.

It is an arithmetic number, because the mean of its divisors is an integer number (14589166469904).

Almost surely, 2102122022101113 is an apocalyptic number.

It is an amenable number.

102122022101113 is a deficient number, since it is larger than the sum of its proper divisors (14591309658119).

102122022101113 is an equidigital number, since it uses as much as digits as its factorization.

102122022101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306169751.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 102122022101113 its reverse (311101220221201), we get a palindrome (413223242322314).

The spelling of 102122022101113 in words is "one hundred two trillion, one hundred twenty-two billion, twenty-two million, one hundred one thousand, one hundred thirteen".

Divisors: 1 7 47657 333599 306122087 2142854609 14588860300159 102122022101113