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10146919100 = 2252101469191
BaseRepresentation
bin10010111001100110…
…11011001010111100
3222012011012220020112
421130303123022330
5131240102402400
64354511405152
7506310250343
oct113463331274
928164186215
1010146919100
11433774255a
121b722237b8
13c5927ac56
146c3888b5a
153e5c2e835
hex25ccdb2bc

10146919100 has 18 divisors (see below), whose sum is σ = 22018814664. Its totient is φ = 4058767600.

The previous prime is 10146919099. The next prime is 10146919117. The reversal of 10146919100 is 191964101.

It is a congruent number.

It is an unprimeable number.

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, 50734496 + ... + 50734695.

Almost surely, 210146919100 is an apocalyptic number.

10146919100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10146919100 is an abundant number, since it is smaller than the sum of its proper divisors (11871895564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10146919100 is a wasteful number, since it uses less digits than its factorization.

10146919100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101469205 (or 101469198 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 32.

The spelling of 10146919100 in words is "ten billion, one hundred forty-six million, nine hundred nineteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101469191 202938382 405876764 507345955 1014691910 2029383820 2536729775 5073459550 10146919100