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10012130040 = 2335117584947
BaseRepresentation
bin10010101001100010…
…01111101011111000
3221211202120220102010
421110301033223320
5131001101130130
64333254405520
7503052462333
oct112461175370
927752526363
1010012130040
11427864a540
121b350608a0
13c37376703
146ad9dd61a
153d8ea70b0
hex254c4faf8

10012130040 has 64 divisors (see below), whose sum is σ = 32766975360. Its totient is φ = 2427182720.

The previous prime is 10012130003. The next prime is 10012130041. The reversal of 10012130040 is 4003121001.

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 = 10012129998 and 10012130025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012130041) 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, 3791154 + ... + 3793793.

It is an arithmetic number, because the mean of its divisors is an integer number (511983990).

Almost surely, 210012130040 is an apocalyptic number.

10012130040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012130040 is an abundant number, since it is smaller than the sum of its proper divisors (22754845320).

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

10012130040 is a wasteful number, since it uses less digits than its factorization.

10012130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7584972 (or 7584968 counting only the distinct ones).

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

Adding to 10012130040 its reverse (4003121001), we get a palindrome (14015251041).

The spelling of 10012130040 in words is "ten billion, twelve million, one hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 7584947 15169894 22754841 30339788 37924735 45509682 60679576 75849470 83434417 91019364 113774205 151698940 166868834 182038728 227548410 250303251 303397880 333737668 417172085 455096820 500606502 667475336 834344170 910193640 1001213004 1251516255 1668688340 2002426008 2503032510 3337376680 5006065020 10012130040