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212021021220200 = 23522847737226713
BaseRepresentation
bin110000001101010011111101…
…101001111001110101101000
31000210201000022111211210100222
4300031103331221321311220
5210242223022413021300
62030533040145145212
762442004361625353
oct6015237551716550
91023630274753328
10212021021220200
1161613679114005
121b94311702b208
13913c65bab31aa
143a4dc2d39b29a
15197a2476ee785
hexc0d4fda79d68

212021021220200 has 48 divisors (see below), whose sum is σ = 492966198000780. Its totient is φ = 84805428072960.

The previous prime is 212021021220187. The next prime is 212021021220301. The reversal of 212021021220200 is 2022120120212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 56165821516996 + 155855199703204 = 7494386^2 + 12484198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12917957 + ... + 24308756.

Almost surely, 2212021021220200 is an apocalyptic number.

212021021220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021021220200 is an abundant number, since it is smaller than the sum of its proper divisors (280945176780580).

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

212021021220200 is a wasteful number, since it uses less digits than its factorization.

212021021220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37255206 (or 37255197 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212021021220200 its reverse (2022120120212), we get a palindrome (214043141340412).

The spelling of 212021021220200 in words is "two hundred twelve trillion, twenty-one billion, twenty-one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 28477 56954 113908 142385 227816 284770 569540 711925 1139080 1423850 2847700 5695400 37226713 74453426 148906852 186133565 297813704 372267130 744534260 930667825 1489068520 1861335650 3722671300 7445342600 1060105106101 2120210212202 4240420424404 5300525530505 8480840848808 10601051061010 21202102122020 26502627652525 42404204244040 53005255305050 106010510610100 212021021220200