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212312032420 = 22549157215953
BaseRepresentation
bin1100010110111011001…
…0001000010010100100
3202022000101112201212011
43011232302020102210
511434303340014140
6241311303404004
721224201333155
oct3055662102244
9668011481764
10212312032420
118204a675404
1235192a53604
1317037005467
14a3c132592c
1557c92cdcea
hex316ec884a4

212312032420 has 24 divisors (see below), whose sum is σ = 445866402744. Its totient is φ = 84922692096.

The previous prime is 212312032417. The next prime is 212312032451. The reversal of 212312032420 is 24230213212.

212312032420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8707129344 + 203604903076 = 93312^2 + 451226^2 .

It is a super-2 number, since 2×2123120324202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212312032391 and 212312032400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 875164 + ... + 1091116.

It is an arithmetic number, because the mean of its divisors is an integer number (18577766781).

Almost surely, 2212312032420 is an apocalyptic number.

212312032420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212312032420 is an abundant number, since it is smaller than the sum of its proper divisors (233554370324).

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

212312032420 is a wasteful number, since it uses less digits than its factorization.

212312032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265119 (or 265117 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 212312032420 its reverse (24230213212), we get a palindrome (236542245632).

The spelling of 212312032420 in words is "two hundred twelve billion, three hundred twelve million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 49157 98314 196628 215953 245785 431906 491570 863812 983140 1079765 2159530 4319060 10615601621 21231203242 42462406484 53078008105 106156016210 212312032420