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210221112120 = 23359718060233
BaseRepresentation
bin1100001111001000100…
…1111001101100111000
3202002121200002222102120
43003302021321230320
511421013101041440
6240324012001240
721121321653465
oct3036211715470
9662550088376
10210221112120
1181177378aa8
12348aa760220
1316a92a76306
14a26376066c
15570595bdd0
hex30f2279b38

210221112120 has 64 divisors (see below), whose sum is σ = 637165055520. Its totient is φ = 55481032704.

The previous prime is 210221112109. The next prime is 210221112133. The reversal of 210221112120 is 21211122012.

210221112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2102211121203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210221112120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9018477 + ... + 9041756.

Almost surely, 2210221112120 is an apocalyptic number.

210221112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210221112120 is an abundant number, since it is smaller than the sum of its proper divisors (426943943400).

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

210221112120 is a wasteful number, since it uses less digits than its factorization.

210221112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18060344 (or 18060340 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210221112120 its reverse (21211122012), we get a palindrome (231432234132).

The spelling of 210221112120 in words is "two hundred ten billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3880 5820 11640 18060233 36120466 54180699 72240932 90301165 108361398 144481864 180602330 216722796 270903495 361204660 433445592 541806990 722409320 1083613980 1751842601 2167227960 3503685202 5255527803 7007370404 8759213005 10511055606 14014740808 17518426010 21022111212 26277639015 35036852020 42044222424 52555278030 70073704040 105110556060 210221112120