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2021120111100 = 2235217457867173
BaseRepresentation
bin11101011010010100001…
…001010111000111111100
321011012212100001122210010
4131122110021113013330
5231103223222023400
64144253442143220
7266010145326006
oct35322411270774
97135770048703
102021120111100
1170a174680962
12287859051b10
1311878b01182c
146db7382b376
1537892253450
hex1d6942571fc

2021120111100 has 144 divisors (see below), whose sum is σ = 6205316771808. Its totient is φ = 506150952960.

The previous prime is 2021120111081. The next prime is 2021120111111. The reversal of 2021120111100 is 11110211202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1897114 + ... + 2764286.

It is an arithmetic number, because the mean of its divisors is an integer number (43092477582).

Almost surely, 22021120111100 is an apocalyptic number.

2021120111100 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 2021120111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102658385904).

2021120111100 is an abundant number, since it is smaller than the sum of its proper divisors (4184196660708).

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

2021120111100 is a wasteful number, since it uses less digits than its factorization.

2021120111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867664 (or 867657 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2021120111100 its reverse (11110211202), we get a palindrome (2032230322302).

The spelling of 2021120111100 in words is "two trillion, twenty-one billion, one hundred twenty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 457 510 850 914 1020 1275 1371 1700 1828 2285 2550 2742 4570 5100 5484 6855 7769 9140 11425 13710 15538 22850 23307 27420 31076 34275 38845 45700 46614 68550 77690 93228 116535 137100 155380 194225 233070 388450 466140 582675 776900 867173 1165350 1734346 2330700 2601519 3468692 4335865 5203038 8671730 10406076 13007595 14741941 17343460 21679325 26015190 29483882 43358650 44225823 52030380 58967764 65037975 73709705 86717300 88451646 130075950 147419410 176903292 221129115 260151900 294838820 368548525 396298061 442258230 737097050 792596122 884516460 1105645575 1188894183 1474194100 1585192244 1981490305 2211291150 2377788366 3962980610 4422582300 4755576732 5944470915 6737067037 7925961220 9907451525 11888941830 13474134074 19814903050 20211201111 23777883660 26948268148 29722354575 33685335185 39629806100 40422402222 59444709150 67370670370 80844804444 101056005555 118889418300 134741340740 168426675925 202112011110 336853351850 404224022220 505280027775 673706703700 1010560055550 2021120111100