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10130420100 = 2235267504001
BaseRepresentation
bin10010110111101000…
…11111000110000100
3222011000011122212110
421123310133012010
5131221341420400
64353122021020
7506020102323
oct113364370604
928130148773
1010130420100
1143293a3619
121b687a7770
13c55a22228
146c15d20ba
153e4570e50
hex25bd1f184

10130420100 has 72 divisors (see below), whose sum is σ = 29748214048. Its totient is φ = 2661120000.

The previous prime is 10130420063. The next prime is 10130420117. The reversal of 10130420100 is 102403101.

It is a happy number.

10130420100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101304201002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231901 + ... + 272100.

Almost surely, 210130420100 is an apocalyptic number.

10130420100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130420100 is an abundant number, since it is smaller than the sum of its proper divisors (19617793948).

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

10130420100 is a wasteful number, since it uses less digits than its factorization.

10130420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504085 (or 504078 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10130420100 its reverse (102403101), we get a palindrome (10232823201).

The spelling of 10130420100 in words is "ten billion, one hundred thirty million, four hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 3350 4020 5025 6700 10050 20100 504001 1008002 1512003 2016004 2520005 3024006 5040010 6048012 7560015 10080020 12600025 15120030 25200050 30240060 33768067 37800075 50400100 67536134 75600150 101304201 135072268 151200300 168840335 202608402 337680670 405216804 506521005 675361340 844201675 1013042010 1688403350 2026084020 2532605025 3376806700 5065210050 10130420100