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10202120112 = 243379759221
BaseRepresentation
bin10011000000001011…
…11111111110110000
3222100000002101210110
421200011333332300
5131343220320422
64404202501320
7510550406262
oct114005777660
928300071713
1010202120112
114365915928
121b88804840
13c67837782
146cad37b32
153ea9d560c
hex26017ffb0

10202120112 has 80 divisors (see below), whose sum is σ = 27347298272. Its totient is φ = 3274629120.

The previous prime is 10202120099. The next prime is 10202120141. The reversal of 10202120112 is 21102120201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142662 + ... + 201882.

Almost surely, 210202120112 is an apocalyptic number.

10202120112 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 10202120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13673649136).

10202120112 is an abundant number, since it is smaller than the sum of its proper divisors (17145178160).

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

10202120112 is a wasteful number, since it uses less digits than its factorization.

10202120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59366 (or 59360 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10202120112 its reverse (21102120201), we get a palindrome (31304240313).

The spelling of 10202120112 in words is "ten billion, two hundred two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 97 111 148 194 222 291 296 388 444 582 592 776 888 1164 1552 1776 2328 3589 4656 7178 10767 14356 21534 28712 43068 57424 59221 86136 118442 172272 177663 236884 355326 473768 710652 947536 1421304 2191177 2842608 4382354 5744437 6573531 8764708 11488874 13147062 17233311 17529416 22977748 26294124 34466622 35058832 45955496 52588248 68933244 91910992 105176496 137866488 212544169 275732976 425088338 637632507 850176676 1275265014 1700353352 2550530028 3400706704 5101060056 10202120112