Search a number
-
+
210120002112 = 2633759501317
BaseRepresentation
bin1100001110110000100…
…0001100101001000000
3202002100121212001120110
43003230020030221000
511420311210031422
6240310000511320
721115653356226
oct3035410145100
9662317761513
10210120002112
1181125299609
123488091b540
1316a77b344c7
14a254160b16
1556ebb3860c
hex30ec20ca40

210120002112 has 112 divisors (see below), whose sum is σ = 580646560320. Its totient is φ = 66991859712.

The previous prime is 210120002087. The next prime is 210120002117. The reversal of 210120002112 is 211200021012.

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

It is not an unprimeable number, because it can be changed into a prime (210120002117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168478 + ... + 669794.

Almost surely, 2210120002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210120002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290323280160).

210120002112 is an abundant number, since it is smaller than the sum of its proper divisors (370526558208).

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

210120002112 is a wasteful number, since it uses less digits than its factorization.

210120002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501428 (or 501418 counting only the distinct ones).

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

Adding to 210120002112 its reverse (211200021012), we get a palindrome (421320023124).

The spelling of 210120002112 in words is "two hundred ten billion, one hundred twenty million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 59 64 74 96 111 118 148 177 192 222 236 296 354 444 472 592 708 888 944 1184 1416 1776 1888 2183 2368 2832 3552 3776 4366 5664 6549 7104 8732 11328 13098 17464 26196 34928 52392 69856 104784 139712 209568 419136 501317 1002634 1503951 2005268 3007902 4010536 6015804 8021072 12031608 16042144 18548729 24063216 29577703 32084288 37097458 48126432 55646187 59155406 74194916 88733109 96252864 111292374 118310812 148389832 177466218 222584748 236621624 296779664 354932436 445169496 473243248 593559328 709864872 890338992 946486496 1094375011 1187118656 1419729744 1780677984 1892972992 2188750022 2839459488 3283125033 3561355968 4377500044 5678918976 6566250066 8755000088 13132500132 17510000176 26265000264 35020000352 52530000528 70040000704 105060001056 210120002112