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21221200112100 = 22352395211789867
BaseRepresentation
bin1001101001100111100100…
…00110000010100111100100
32210010201121220220220012020
410310303302012002213210
510240142004212041400
6113044515034423140
74320116056504632
oct464636206024744
983121556826166
1021221200112100
11684195125612a
122468988b91ab0
13bac1c5aa9871
1453517c1ca352
1526c02ad4b2a0
hex134cf21829e4

21221200112100 has 72 divisors (see below), whose sum is σ = 61401593567328. Its totient is φ = 5658840345600.

The previous prime is 21221200112093. The next prime is 21221200112129. The reversal of 21221200112100 is 121100212212.

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 21221200112100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10961367 + ... + 12751233.

Almost surely, 221221200112100 is an apocalyptic number.

21221200112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221200112100 is an abundant number, since it is smaller than the sum of its proper divisors (40180393455228).

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

21221200112100 is a wasteful number, since it uses less digits than its factorization.

21221200112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829405 (or 1829398 counting only the distinct ones).

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

Adding to 21221200112100 its reverse (121100212212), we get a palindrome (21342300324312).

The spelling of 21221200112100 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 39521 79042 118563 158084 197605 237126 395210 474252 592815 790420 988025 1185630 1789867 1976050 2371260 2964075 3579734 3952100 5369601 5928150 7159468 8949335 10739202 11856300 17898670 21478404 26848005 35797340 44746675 53696010 89493350 107392020 134240025 178986700 268480050 536960100 70737333707 141474667414 212212001121 282949334828 353686668535 424424002242 707373337070 848848004484 1061060005605 1414746674140 1768433342675 2122120011210 3536866685350 4244240022420 5305300028025 7073733370700 10610600056050 21221200112100