Search a number
-
+
212033311220 = 22510601665561
BaseRepresentation
bin1100010101111000101…
…0111001000111110100
3202021021222002020020202
43011132022321013310
511433221011424340
6241223505420032
721214245260003
oct3053612710764
9667258066222
10212033311220
1181a17305005
123511563a618
1316cc1347b83
14a3962d0c3a
1557aeac4c15
hex315e2b91f4

212033311220 has 12 divisors (see below), whose sum is σ = 445269953604. Its totient is φ = 84813324480.

The previous prime is 212033311187. The next prime is 212033311253. The reversal of 212033311220 is 22113330212.

It is an interprime number because it is at equal distance from previous prime (212033311187) and next prime (212033311253).

It can be written as a sum of positive squares in 2 ways, for example, as 129684973924 + 82348337296 = 360118^2 + 286964^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 10601665561 = 212033311220 / (2 + 1 + 2 + 0 + 3 + 3 + 3 + 1 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 212033311192 and 212033311201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5300832761 + ... + 5300832800.

It is an arithmetic number, because the mean of its divisors is an integer number (37105829467).

Almost surely, 2212033311220 is an apocalyptic number.

212033311220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212033311220 is an abundant number, since it is smaller than the sum of its proper divisors (233236642384).

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

212033311220 is a wasteful number, since it uses less digits than its factorization.

212033311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10601665570 (or 10601665568 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 212033311220 its reverse (22113330212), we get a palindrome (234146641432).

The spelling of 212033311220 in words is "two hundred twelve billion, thirty-three million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 10601665561 21203331122 42406662244 53008327805 106016655610 212033311220