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10002013032 = 23311101375113
BaseRepresentation
bin10010101000010101…
…01001101101101000
3221211001112220111010
421110022221231220
5130441003404112
64332253503520
7502600464564
oct112412515550
927731486433
1010002013032
11427296a480
121b317a1ba0
13c3524380b
146ac5286a4
153d815963c
hex2542a9b68

10002013032 has 64 divisors (see below), whose sum is σ = 27548372160. Its totient is φ = 3000896000.

The previous prime is 10002013027. The next prime is 10002013039. The reversal of 10002013032 is 23031020001.

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 = 10002012999 and 10002013017.

It is not an unprimeable number, because it can be changed into a prime (10002013039) 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, 160893 + ... + 214220.

It is an arithmetic number, because the mean of its divisors is an integer number (430443315).

Almost surely, 210002013032 is an apocalyptic number.

10002013032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002013032 is an abundant number, since it is smaller than the sum of its proper divisors (17546359128).

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

10002013032 is a wasteful number, since it uses less digits than its factorization.

10002013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375234 (or 375230 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10002013032 its reverse (23031020001), we get a palindrome (33033033033).

The spelling of 10002013032 in words is "ten billion, two million, thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2222 2424 3333 4444 6666 8888 13332 26664 375113 750226 1125339 1500452 2250678 3000904 4126243 4501356 8252486 9002712 12378729 16504972 24757458 33009944 37886413 49514916 75772826 99029832 113659239 151545652 227318478 303091304 416750543 454636956 833501086 909273912 1250251629 1667002172 2500503258 3334004344 5001006516 10002013032