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20021212200 = 23352113033517
BaseRepresentation
bin10010101001010110…
…110111010000101000
31220200022102221220210
4102221112313100220
5312000412242300
613110404021120
71306100332023
oct225126672050
956608387823
1020021212200
1185444a8070
123a690917a0
131b70bc3a32
14d7d0481ba
157c2a5b050
hex4a95b7428

20021212200 has 96 divisors (see below), whose sum is σ = 67708121760. Its totient is φ = 4853625600.

The previous prime is 20021212157. The next prime is 20021212207. The reversal of 20021212200 is 221212002.

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

It is not an unprimeable number, because it can be changed into a prime (20021212207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1510159 + ... + 1523358.

It is an arithmetic number, because the mean of its divisors is an integer number (705292935).

Almost surely, 220021212200 is an apocalyptic number.

20021212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021212200 is an abundant number, since it is smaller than the sum of its proper divisors (47686909560).

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

20021212200 is a wasteful number, since it uses less digits than its factorization.

20021212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033547 (or 3033538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20021212200 its reverse (221212002), we get a palindrome (20242424202).

It can be divided in two parts, 20021 and 212200, that added together give a triangular number (232221 = T681).

The spelling of 20021212200 in words is "twenty billion, twenty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 3033517 6067034 9100551 12134068 15167585 18201102 24268136 30335170 33368687 36402204 45502755 60670340 66737374 72804408 75837925 91005510 100106061 121340680 133474748 151675850 166843435 182011020 200212122 227513775 266949496 303351700 333686870 364022040 400424244 455027550 500530305 606703400 667373740 800848488 834217175 910055100 1001060610 1334747480 1668434350 1820110200 2002121220 2502651525 3336868700 4004242440 5005303050 6673737400 10010606100 20021212200