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20211210210120 = 23356118223151517
BaseRepresentation
bin1001001100001110010100…
…00000010100101101001000
32122120011122222201212110120
410212013022000110231020
510122120024303210440
6110552522441543240
74154132426132136
oct446071200245510
978504588655416
1020211210210120
116492587292aa6
1223250994a4b20
13b37ba7c4ac27
144dc3290cc756
15250b1756ddd0
hex1261ca014b48

20211210210120 has 128 divisors (see below), whose sum is σ = 61631413194240. Its totient is φ = 5300975139840.

The previous prime is 20211210210101. The next prime is 20211210210151. The reversal of 20211210210120 is 2101201211202.

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 20211210210120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133316602 + ... + 133468118.

It is an arithmetic number, because the mean of its divisors is an integer number (481495415580).

Almost surely, 220211210210120 is an apocalyptic number.

20211210210120 is a gapful number since it is divisible by the number (20) 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 20211210210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30815706597120).

20211210210120 is an abundant number, since it is smaller than the sum of its proper divisors (41420202984120).

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

20211210210120 is a wasteful number, since it uses less digits than its factorization.

20211210210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169815 (or 169811 counting only the distinct ones).

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

Adding to 20211210210120 its reverse (2101201211202), we get a palindrome (22312411421322).

The spelling of 20211210210120 in words is "twenty trillion, two hundred eleven billion, two hundred ten million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7320 18223 36446 54669 72892 91115 109338 145784 151517 182230 218676 273345 303034 364460 437352 454551 546690 606068 728920 757585 909102 1093380 1111603 1212136 1515170 1818204 2186760 2223206 2272755 3030340 3334809 3636408 4446412 4545510 5558015 6060680 6669618 8892824 9091020 9242537 11116030 13339236 16674045 18182040 18485074 22232060 26678472 27727611 33348090 36970148 44464120 46212685 55455222 66696180 73940296 92425370 110910444 133392360 138638055 184850740 221820888 277276110 369701480 554552220 1109104440 2761094291 5522188582 8283282873 11044377164 13805471455 16566565746 22088754328 27610942910 33133131492 41416414365 55221885820 66266262984 82832828730 110443771640 165665657460 168426751751 331331314920 336853503502 505280255253 673707007004 842133758755 1010560510506 1347414014008 1684267517510 2021121021012 2526401276265 3368535035020 4042242042024 5052802552530 6737070070040 10105605105060 20211210210120