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213100210020 = 223511173179651
BaseRepresentation
bin1100011001110111000…
…0110010011101100100
3202101001022122022021010
43012131300302131210
511442412123210040
6241521421022220
721252551620065
oct3063560623544
9671038568233
10213100210020
1182414570955
12353729b4970
13171313a9139
14a457c9456c
1558235bce80
hex319dc32764

213100210020 has 48 divisors (see below), whose sum is σ = 597214957248. Its totient is φ = 56775830400.

The previous prime is 213100209997. The next prime is 213100210021. The reversal of 213100210020 is 20012001312.

213100210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 213100209978 and 213100210005.

It is not an unprimeable number, because it can be changed into a prime (213100210021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1522806 + ... + 1656845.

It is an arithmetic number, because the mean of its divisors is an integer number (12441978276).

Almost surely, 2213100210020 is an apocalyptic number.

213100210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213100210020 is an abundant number, since it is smaller than the sum of its proper divisors (384114747228).

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

213100210020 is a wasteful number, since it uses less digits than its factorization.

213100210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180780 (or 3180778 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 213100210020 its reverse (20012001312), we get a palindrome (233112211332).

The spelling of 213100210020 in words is "two hundred thirteen billion, one hundred million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1117 2234 3351 4468 5585 6702 11170 13404 16755 22340 33510 67020 3179651 6359302 9538953 12718604 15898255 19077906 31796510 38155812 47694765 63593020 95389530 190779060 3551670167 7103340334 10655010501 14206680668 17758350835 21310021002 35516701670 42620042004 53275052505 71033403340 106550105010 213100210020