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20213321123000 = 235385740275857
BaseRepresentation
bin1001001100010010001111…
…10100110100010010111000
32122120101010002210100120002
410212021013310310102320
510122133340201414000
6110553512130052132
74154235640450115
oct446110764642270
978511102710502
1020213321123000
11649346a8a50a5
12232558841a048
13b38153389cc5
144dc4895b990c
15250bdca3e8d5
hex126247d344b8

20213321123000 has 128 divisors (see below), whose sum is σ = 47374209305280. Its totient is φ = 8072510054400.

The previous prime is 20213321122991. The next prime is 20213321123153. The reversal of 20213321123000 is 32112331202.

It is a super-2 number, since 2×202133211230002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3451136072 + ... + 3451141928.

Almost surely, 220213321123000 is an apocalyptic number.

20213321123000 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 20213321123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23687104652640).

20213321123000 is an abundant number, since it is smaller than the sum of its proper divisors (27160888182280).

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

20213321123000 is a wasteful number, since it uses less digits than its factorization.

20213321123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10762 (or 10748 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 20213321123000 its reverse (32112331202), we get a palindrome (20245433454202).

The spelling of 20213321123000 in words is "twenty trillion, two hundred thirteen billion, three hundred twenty-one million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 857 1000 1714 3428 4027 4285 5857 6856 8054 8570 11714 16108 17140 20135 21425 23428 29285 32216 34280 40270 42850 46856 58570 80540 85700 100675 107125 117140 146425 161080 171400 201350 214250 234280 292850 402700 428500 503375 585700 732125 805400 857000 1006750 1171400 1464250 2013500 2928500 3451139 4027000 5019449 5857000 6902278 10038898 13804556 17255695 20077796 23586139 25097245 27609112 34511390 40155592 47172278 50194490 69022780 86278475 94344556 100388980 117930695 125486225 138045560 172556950 188689112 200777960 235861390 250972450 345113900 431392375 471722780 501944900 589653475 627431125 690227800 862784750 943445560 1003889800 1179306950 1254862250 1725569500 2358613900 2509724500 2948267375 3451139000 4717227800 5019449000 5896534750 11793069500 20213321123 23586139000 40426642246 80853284492 101066605615 161706568984 202133211230 404266422460 505333028075 808532844920 1010666056150 2021332112300 2526665140375 4042664224600 5053330280750 10106660561500 20213321123000