Search a number
-
+
2110055112 = 2332112242201
BaseRepresentation
bin111110111000100…
…1110001011001000
312110001102220110100
41331301032023020
513310133230422
6545213445400
7103201113114
oct17561161310
95401386410
102110055112
11993086700
124aa7a0860
132781cb829
14160346744
15c53a17ac
hex7dc4e2c8

2110055112 has 72 divisors (see below), whose sum is σ = 6281508870. Its totient is φ = 639408000.

The previous prime is 2110055093. The next prime is 2110055137. The reversal of 2110055112 is 2115500112.

2110055112 is a `hidden beast` number, since 2 + 1 + 100 + 551 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1573391556 + 536663556 = 39666^2 + 23166^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112389 + ... + 129812.

Almost surely, 22110055112 is an apocalyptic number.

2110055112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2110055112 is an abundant number, since it is smaller than the sum of its proper divisors (4171453758).

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

2110055112 is a wasteful number, since it uses less digits than its factorization.

2110055112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242235 (or 242217 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 2110055112 is about 45935.3362021004. The cubic root of 2110055112 is about 1282.6197792897.

Adding to 2110055112 its reverse (2115500112), we get a palindrome (4225555224).

The spelling of 2110055112 in words is "two billion, one hundred ten million, fifty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 242201 484402 726603 968804 1453206 1937608 2179809 2664211 2906412 4359618 5328422 5812824 7992633 8719236 10656844 15985266 17438472 21313688 23977899 29306321 31970532 47955798 58612642 63941064 87918963 95911596 117225284 175837926 191823192 234450568 263756889 351675852 527513778 703351704 1055027556 2110055112