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21530217180 = 2235617098297
BaseRepresentation
bin10100000011010011…
…010000101011011100
32001120110220100121010
4110003103100223130
5323043213422210
613520231135220
71361352553323
oct240323205334
961513810533
1021530217180
11914927891a
12420a514510
1320517199a4
1410836130ba
15860283920
hex5034d0adc

21530217180 has 96 divisors (see below), whose sum is σ = 61366697280. Its totient is φ = 5638625280.

The previous prime is 21530217173. The next prime is 21530217221. The reversal of 21530217180 is 8171203512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2590792 + ... + 2599088.

It is an arithmetic number, because the mean of its divisors is an integer number (639236430).

Almost surely, 221530217180 is an apocalyptic number.

21530217180 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 21530217180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30683348640).

21530217180 is an abundant number, since it is smaller than the sum of its proper divisors (39836480100).

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

21530217180 is a wasteful number, since it uses less digits than its factorization.

21530217180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9079 (or 9077 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 21530217180 in words is "twenty-one billion, five hundred thirty million, two hundred seventeen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 709 732 915 1220 1418 1830 2127 2836 3545 3660 4254 7090 8297 8508 10635 14180 16594 21270 24891 33188 41485 42540 43249 49782 82970 86498 99564 124455 129747 165940 172996 216245 248910 259494 432490 497820 506117 518988 648735 864980 1012234 1297470 1518351 2024468 2530585 2594940 3036702 5061170 5882573 6073404 7591755 10122340 11765146 15183510 17647719 23530292 29412865 30367020 35295438 58825730 70590876 88238595 117651460 176477190 352954380 358836953 717673906 1076510859 1435347812 1794184765 2153021718 3588369530 4306043436 5382554295 7176739060 10765108590 21530217180