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10100102024 = 231262512753
BaseRepresentation
bin10010110100000001…
…10101001110001000
3222001220010100021202
421122000311032020
5131141111231044
64350120123332
7505201310405
oct113200651610
928056110252
1010100102024
114313276161
121b5a606548
13c4c66853c
146bb57d2ac
153e1a82c4e
hex25a035388

10100102024 has 8 divisors (see below), whose sum is σ = 18937691310. Its totient is φ = 5050051008.

The previous prime is 10100102009. The next prime is 10100102027. The reversal of 10100102024 is 42020100101.

It can be written as a sum of positive squares in only one way, i.e., 6837636100 + 3262465924 = 82690^2 + 57118^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 10100101996 and 10100102014.

It is not an unprimeable number, because it can be changed into a prime (10100102027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 631256369 + ... + 631256384.

Almost surely, 210100102024 is an apocalyptic number.

It is an amenable number.

10100102024 is a deficient number, since it is larger than the sum of its proper divisors (8837589286).

10100102024 is a wasteful number, since it uses less digits than its factorization.

10100102024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262512759 (or 1262512755 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10100102024 its reverse (42020100101), we get a palindrome (52120202125).

The spelling of 10100102024 in words is "ten billion, one hundred million, one hundred two thousand, twenty-four".

Divisors: 1 2 4 8 1262512753 2525025506 5050051012 10100102024