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211200102220 = 22523459130657
BaseRepresentation
bin1100010010110010000…
…0011100111101001100
3202012010220020211101011
43010230200130331030
511430014211232340
6241005103055004
721154510151152
oct3045440347514
9665126224334
10211200102220
1181629a51828
1234b225a1464
1316bba8384b3
14a31779d3d2
15576188d0ea
hex312c81cf4c

211200102220 has 24 divisors (see below), whose sum is σ = 462803703264. Its totient is φ = 80806995456.

The previous prime is 211200102109. The next prime is 211200102229. The reversal of 211200102220 is 22201002112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 211200102220.

It is not an unprimeable number, because it can be changed into a prime (211200102229) by changing a digit.

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, 229564869 + ... + 229565788.

It is an arithmetic number, because the mean of its divisors is an integer number (19283487636).

Almost surely, 2211200102220 is an apocalyptic number.

211200102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200102220 is an abundant number, since it is smaller than the sum of its proper divisors (251603601044).

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

211200102220 is a wasteful number, since it uses less digits than its factorization.

211200102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459130689 (or 459130687 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 211200102220 its reverse (22201002112), we get a palindrome (233401104332).

The spelling of 211200102220 in words is "two hundred eleven billion, two hundred million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 459130657 918261314 1836522628 2295653285 4591306570 9182613140 10560005111 21120010222 42240020444 52800025555 105600051110 211200102220