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212013301320 = 23325588925837
BaseRepresentation
bin1100010101110011111…
…0100011111001001000
3202021020120102121211100
43011130332203321020
511433200401120240
6241221512501400
721213613220052
oct3053476437110
9667216377740
10212013301320
1181a06a882a7
123510a9aa860
1316cba1600b2
14a3937a28d2
1557ace70e30
hex315cfa3e48

212013301320 has 48 divisors (see below), whose sum is σ = 689043230460. Its totient is φ = 56536880256.

The previous prime is 212013301303. The next prime is 212013301337. The reversal of 212013301320 is 23103310212.

212013301320 is a `hidden beast` number, since 2 + 1 + 201 + 330 + 132 + 0 = 666.

212013301320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212013301303) and next prime (212013301337).

It can be written as a sum of positive squares in 2 ways, for example, as 199921659876 + 12091641444 = 447126^2 + 109962^2 .

It is a super-2 number, since 2×2120133013202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212013301293 and 212013301302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294462559 + ... + 294463278.

Almost surely, 2212013301320 is an apocalyptic number.

212013301320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212013301320 is an abundant number, since it is smaller than the sum of its proper divisors (477029929140).

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

212013301320 is a wasteful number, since it uses less digits than its factorization.

212013301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588925854 (or 588925847 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212013301320 its reverse (23103310212), we get a palindrome (235116611532).

The spelling of 212013301320 in words is "two hundred twelve billion, thirteen million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 588925837 1177851674 1766777511 2355703348 2944629185 3533555022 4711406696 5300332533 5889258370 7067110044 8833887555 10600665066 11778516740 14134220088 17667775110 21201330132 23557033480 26501662665 35335550220 42402660264 53003325330 70671100440 106006650660 212013301320