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21102332100 = 22352233782657
BaseRepresentation
bin10011101001110011…
…000000100011000100
32000110122202112121120
4103221303000203010
5321204144111400
613405544113540
71344635602053
oct235163004304
960418675546
1021102332100
118a49797493
12410b1658b0
131cb3b93c55
14104287039a
15837912ca0
hex4e9cc08c4

21102332100 has 144 divisors (see below), whose sum is σ = 65433395328. Its totient is φ = 5237084160.

The previous prime is 21102332051. The next prime is 21102332113. The reversal of 21102332100 is 123320112.

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 21102332100.

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, 213972 + ... + 296628.

Almost surely, 221102332100 is an apocalyptic number.

21102332100 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 21102332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32716697664).

21102332100 is an abundant number, since it is smaller than the sum of its proper divisors (44331063228).

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

21102332100 is a wasteful number, since it uses less digits than its factorization.

21102332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82734 (or 82727 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21102332100 its reverse (123320112), we get a palindrome (21225652212).

The spelling of 21102332100 in words is "twenty-one billion, one hundred two million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 37 46 50 60 69 74 75 92 100 111 115 138 148 150 185 222 230 276 300 345 370 444 460 555 575 690 740 851 925 1110 1150 1380 1702 1725 1850 2220 2300 2553 2775 3404 3450 3700 4255 5106 5550 6900 8510 10212 11100 12765 17020 21275 25530 42550 51060 63825 82657 85100 127650 165314 247971 255300 330628 413285 495942 826570 991884 1239855 1653140 1901111 2066425 2479710 3058309 3802222 4132850 4959420 5703333 6116618 6199275 7604444 8265700 9174927 9505555 11406666 12233236 12398550 15291545 18349854 19011110 22813332 24797100 28516665 30583090 36699708 38022220 45874635 47527775 57033330 61166180 70341107 76457725 91749270 95055550 114066660 140682214 142583325 152915450 183498540 190111100 211023321 229373175 281364428 285166650 305830900 351705535 422046642 458746350 570333300 703411070 844093284 917492700 1055116605 1406822140 1758527675 2110233210 3517055350 4220466420 5275583025 7034110700 10551166050 21102332100