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21788712100 = 22522925092
BaseRepresentation
bin10100010010101101…
…010101110010100100
32002020111022020222001
4110102231111302210
5324110402241400
614002023415044
71400641665661
oct242255256244
962214266861
1021788712100
119271183991
124280bb4484
132093144b6c
1410a9aa0a68
15877ce4a6a
hex512b55ca4

21788712100 has 81 divisors (see below), whose sum is σ = 49064516137. Its totient is φ = 8398418560.

The previous prime is 21788712097. The next prime is 21788712103. The reversal of 21788712100 is 121788712.

The square root of 21788712100 is 147610.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (21788712097) and next prime (21788712103).

It can be written as a sum of positive squares in 13 ways, for example, as 6235629156 + 15553082944 = 78966^2 + 124712^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21788712100.

It is not an unprimeable number, because it can be changed into a prime (21788712103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42806646 + ... + 42807154.

Almost surely, 221788712100 is an apocalyptic number.

21788712100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21788712100 is the 147610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21788712100

21788712100 is an abundant number, since it is smaller than the sum of its proper divisors (27275804037).

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

21788712100 is an equidigital number, since it uses as much as digits as its factorization.

21788712100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 37.

Multiplying 21788712100 by its product of nonzero digits (12544), we get a square (273317604582400 = 165323202).

The spelling of 21788712100 in words is "twenty-one billion, seven hundred eighty-eight million, seven hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 509 580 725 841 1018 1450 1682 2036 2545 2900 3364 4205 5090 8410 10180 12725 14761 16820 21025 25450 29522 42050 50900 59044 73805 84100 147610 259081 295220 369025 428069 518162 738050 856138 1036324 1295405 1476100 1712276 2140345 2590810 4280690 5181620 6477025 7513349 8561380 10701725 12954050 15026698 21403450 25908100 30053396 37566745 42806900 75133490 150266980 187833725 217887121 375667450 435774242 751334900 871548484 1089435605 2178871210 4357742420 5447178025 10894356050 21788712100