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213400431420 = 223511323333987
BaseRepresentation
bin1100011010111110101…
…0000010101100111100
3202101211020120010121020
43012233222002230330
511444021002301140
6242011303504140
721263155511121
oct3065752025474
9671736503536
10213400431420
1182558a86710
1235437458050
131717b653937
14a485ac4748
15583eb226d0
hex31afa82b3c

213400431420 has 48 divisors (see below), whose sum is σ = 651841319808. Its totient is φ = 51733437760.

The previous prime is 213400431383. The next prime is 213400431427. The reversal of 213400431420 is 24134004312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213400431427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161666334 + ... + 161667653.

It is an arithmetic number, because the mean of its divisors is an integer number (13580027496).

Almost surely, 2213400431420 is an apocalyptic number.

213400431420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213400431420 is an abundant number, since it is smaller than the sum of its proper divisors (438440888388).

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

213400431420 is a wasteful number, since it uses less digits than its factorization.

213400431420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323334010 (or 323334008 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 213400431420 its reverse (24134004312), we get a palindrome (237534435732).

The spelling of 213400431420 in words is "two hundred thirteen billion, four hundred million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 323333987 646667974 970001961 1293335948 1616669935 1940003922 3233339870 3556673857 3880007844 4850009805 6466679740 7113347714 9700019610 10670021571 14226695428 17783369285 19400039220 21340043142 35566738570 42680086284 53350107855 71133477140 106700215710 213400431420