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21100200220 = 225112311372053
BaseRepresentation
bin10011101001101010…
…111000000100011100
32000110111202020020001
4103221222320010130
5321203122401340
613405430304044
71344611512501
oct235152700434
960414666201
1021100200220
118a48570800
12410a4b8024
131cb35c8798
1410424774a8
1583764129a
hex4e9ab811c

21100200220 has 144 divisors (see below), whose sum is σ = 50667611904. Its totient is φ = 7367500800.

The previous prime is 21100200217. The next prime is 21100200223. The reversal of 21100200220 is 2200200112.

It is an interprime number because it is at equal distance from previous prime (21100200217) and next prime (21100200223).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21100200197 and 21100200206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100200223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10276714 + ... + 10278766.

It is an arithmetic number, because the mean of its divisors is an integer number (351858416).

Almost surely, 221100200220 is an apocalyptic number.

21100200220 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 21100200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25333805952).

21100200220 is an abundant number, since it is smaller than the sum of its proper divisors (29567411684).

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

21100200220 is a wasteful number, since it uses less digits than its factorization.

21100200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21100200220 its reverse (2200200112), we get a palindrome (23300400332).

The spelling of 21100200220 in words is "twenty-one billion, one hundred million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 137 155 220 242 274 310 341 484 548 605 620 682 685 1210 1364 1370 1507 1705 2053 2420 2740 3014 3410 3751 4106 4247 6028 6820 7502 7535 8212 8494 10265 15004 15070 16577 16988 18755 20530 21235 22583 30140 33154 37510 41060 42470 45166 46717 63643 66308 75020 82885 84940 90332 93434 112915 127286 165770 186868 225830 233585 248413 254572 281261 318215 331540 451660 467170 496826 513887 562522 636430 700073 934340 993652 1027774 1125044 1242065 1272860 1400146 1406305 2055548 2484130 2569435 2800292 2812610 3093871 3500365 4968260 5138870 5625220 6187742 7000730 7700803 8719091 10277740 12375484 14001460 15401606 15469355 17438182 30803212 30938710 34032581 34876364 38504015 43595455 61877420 68065162 77008030 87190910 95910001 136130324 154016060 170162905 174381820 191820002 340325810 383640004 479550005 680651620 959100010 1055010011 1918200020 2110020022 4220040044 5275050055 10550100110 21100200220