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10421112312 = 23321335931013
BaseRepresentation
bin10011011010010010…
…11000110111111000
3222220021011100121200
421231021120313320
5132320301043222
64442024334200
7516146664432
oct115511306770
928807140550
1010421112312
11446849aa16
12202a014360
13ca1011560
1470c061652
1540ed41eac
hex26d258df8

10421112312 has 96 divisors (see below), whose sum is σ = 30480559200. Its totient is φ = 3197461248.

The previous prime is 10421112301. The next prime is 10421112323. The reversal of 10421112312 is 21321112401.

10421112312 is a `hidden beast` number, since 1 + 0 + 421 + 11 + 231 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10421112301) and next prime (10421112323).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320518 + ... + 351530.

It is an arithmetic number, because the mean of its divisors is an integer number (317505825).

Almost surely, 210421112312 is an apocalyptic number.

10421112312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10421112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240279600).

10421112312 is an abundant number, since it is smaller than the sum of its proper divisors (20059446888).

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

10421112312 is a wasteful number, since it uses less digits than its factorization.

10421112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31397 (or 31390 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10421112312 its reverse (21321112401), we get a palindrome (31742224713).

The spelling of 10421112312 in words is "ten billion, four hundred twenty-one million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 359 468 718 936 1077 1436 2154 2872 3231 4308 4667 6462 8616 9334 12924 14001 18668 25848 28002 31013 37336 42003 56004 62026 84006 93039 112008 124052 168012 186078 248104 279117 336024 372156 403169 558234 744312 806338 1116468 1209507 1612676 2232936 2419014 3225352 3628521 4838028 7257042 9676056 11133667 14514084 22267334 29028168 33401001 44534668 66802002 89069336 100203003 133604004 144737671 200406006 267208008 289475342 400812012 434213013 578950684 801624024 868426026 1157901368 1302639039 1736852052 2605278078 3473704104 5210556156 10421112312