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10130400120 = 2335269313829
BaseRepresentation
bin10010110111101000…
…11010001101111000
3222011000010122110110
421123310122031320
5131221340300440
64353121344320
7506016660141
oct113364321570
928130118413
1010130400120
11432938a605
121b687980a0
13c55a160c9
146c15c8ac8
153e456a080
hex25bd1a378

10130400120 has 64 divisors (see below), whose sum is σ = 30504276000. Its totient is φ = 2691388928.

The previous prime is 10130400103. The next prime is 10130400121. The reversal of 10130400120 is 2100403101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10130400096 and 10130400105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130400121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124635 + ... + 189194.

Almost surely, 210130400120 is an apocalyptic number.

10130400120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130400120 is an abundant number, since it is smaller than the sum of its proper divisors (20373875880).

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

10130400120 is a wasteful number, since it uses less digits than its factorization.

10130400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314112 (or 314108 counting only the distinct ones).

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

Adding to 10130400120 its reverse (2100403101), we get a palindrome (12230803221).

The spelling of 10130400120 in words is "ten billion, one hundred thirty million, four hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 538 807 1076 1345 1614 2152 2690 3228 4035 5380 6456 8070 10760 16140 32280 313829 627658 941487 1255316 1569145 1882974 2510632 3138290 3765948 4707435 6276580 7531896 9414870 12553160 18829740 37659480 84420001 168840002 253260003 337680004 422100005 506520006 675360008 844200010 1013040012 1266300015 1688400020 2026080024 2532600030 3376800040 5065200060 10130400120