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211210102122020 = 22512991781286553
BaseRepresentation
bin110000000001100000101111…
…000111000010011000100100
31000200211111012011111101120122
4300001200233013002120210
5210140431242120401040
62025112325330421112
762326266140211011
oct6001405707023044
91020744164441518
10211210102122020
1161330779459231
121b831b23a31798
1390b10478c6ba1
143a228a2bc4708
1519640d59ee1b5
hexc0182f1c2624

211210102122020 has 24 divisors (see below), whose sum is σ = 443544633948024. Its totient is φ = 84483389517056.

The previous prime is 211210102121929. The next prime is 211210102122059. The reversal of 211210102122020 is 20221201012112.

It can be written as a sum of positive squares in 4 ways, for example, as 16828061248804 + 194382040873216 = 4102202^2 + 13942096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 211210102122020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38044937 + ... + 43241616.

It is an arithmetic number, because the mean of its divisors is an integer number (18481026414501).

Almost surely, 2211210102122020 is an apocalyptic number.

211210102122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210102122020 is an abundant number, since it is smaller than the sum of its proper divisors (232334531826004).

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

211210102122020 is a wasteful number, since it uses less digits than its factorization.

211210102122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81416479 (or 81416477 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211210102122020 its reverse (20221201012112), we get a palindrome (231431303134132).

The spelling of 211210102122020 in words is "two hundred eleven trillion, two hundred ten billion, one hundred two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 129917 259834 519668 649585 1299170 2598340 81286553 162573106 325146212 406432765 812865530 1625731060 10560505106101 21121010212202 42242020424404 52802525530505 105605051061010 211210102122020