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112222021000 = 23531033108637
BaseRepresentation
bin110100010000011110…
…1000010010110001000
3101201122221112100011011
41220200331002112020
53314312314133000
6123315403213304
711051652303535
oct1504075022610
9351587470134
10112222021000
1143658450401
12198bab17234
13a77596b82b
145608353d8c
152dbc2142ba
hex1a20f42588

112222021000 has 64 divisors (see below), whose sum is σ = 262856159280. Its totient is φ = 44844940800.

The previous prime is 112222020961. The next prime is 112222021003. The reversal of 112222021000 is 120222211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17236013796 + 94986007204 = 131286^2 + 308198^2 .

It is not an unprimeable number, because it can be changed into a prime (112222021003) 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, 978682 + ... + 1087318.

Almost surely, 2112222021000 is an apocalyptic number.

112222021000 is a gapful number since it is divisible by the number (10) 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 112222021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131428079640).

112222021000 is an abundant number, since it is smaller than the sum of its proper divisors (150634138280).

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

112222021000 is a wasteful number, since it uses less digits than its factorization.

112222021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109691 (or 109677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 112222021000 its reverse (120222211), we get a palindrome (112342243211).

The spelling of 112222021000 in words is "one hundred twelve billion, two hundred twenty-two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1033 2066 4132 5165 8264 10330 20660 25825 41320 51650 103300 108637 129125 206600 217274 258250 434548 516500 543185 869096 1033000 1086370 2172740 2715925 4345480 5431850 10863700 13579625 21727400 27159250 54318500 108637000 112222021 224444042 448888084 561110105 897776168 1122220210 2244440420 2805550525 4488880840 5611101050 11222202100 14027752625 22444404200 28055505250 56111010500 112222021000