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10100919191 = 11283478671
BaseRepresentation
bin10010110100000111…
…11100101110010111
3222001221122212020012
421122003330232113
5131141313403231
64350145430435
7505211252666
oct113203745627
928057585205
1010100919191
114313784100
121b5a93b41b
13c4c89347c
146bb712ddd
153e1b94e2b
hex25a0fcb97

10100919191 has 6 divisors (see below), whose sum is σ = 11102663376. Its totient is φ = 9182653700.

The previous prime is 10100919181. The next prime is 10100919197. The reversal of 10100919191 is 19191900101.

It is a de Polignac number, because none of the positive numbers 2k-10100919191 is a prime.

It is a super-2 number, since 2×101009191912 (a number of 21 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 (10100919197) 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 5 ways as a sum of consecutive naturals, for example, 41739215 + ... + 41739456.

It is an arithmetic number, because the mean of its divisors is an integer number (1850443896).

Almost surely, 210100919191 is an apocalyptic number.

10100919191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100919191 is a deficient number, since it is larger than the sum of its proper divisors (1001744185).

10100919191 is an equidigital number, since it uses as much as digits as its factorization.

10100919191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83478693 (or 83478682 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 32.

The spelling of 10100919191 in words is "ten billion, one hundred million, nine hundred nineteen thousand, one hundred ninety-one".

Divisors: 1 11 121 83478671 918265381 10100919191