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10012401312 = 253446323369
BaseRepresentation
bin10010101001100100…
…10001111010100000
3221211210002200112020
421110302101322200
5131001133320222
64333304301440
7503055002244
oct112462217240
927753080466
1010012401312
114278815331
121b35171880
13c37440024
146ada70424
153d900c65c
hex254c91ea0

10012401312 has 48 divisors (see below), whose sum is σ = 26289567360. Its totient is φ = 3336576512.

The previous prime is 10012401307. The next prime is 10012401313. The reversal of 10012401312 is 21310421001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10012401291 and 10012401300.

It is not an unprimeable number, because it can be changed into a prime (10012401313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416764 + ... + 440132.

It is an arithmetic number, because the mean of its divisors is an integer number (547699320).

Almost surely, 210012401312 is an apocalyptic number.

10012401312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012401312 is an abundant number, since it is smaller than the sum of its proper divisors (16277166048).

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

10012401312 is a wasteful number, since it uses less digits than its factorization.

10012401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27845 (or 27837 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10012401312 its reverse (21310421001), we get a palindrome (31322822313).

The spelling of 10012401312 in words is "ten billion, twelve million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4463 8926 13389 17852 23369 26778 35704 46738 53556 70107 71408 93476 107112 140214 142816 186952 214224 280428 373904 428448 560856 747808 1121712 2243424 104295847 208591694 312887541 417183388 625775082 834366776 1251550164 1668733552 2503100328 3337467104 5006200656 10012401312