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211411310032 = 24131016400529
BaseRepresentation
bin1100010011100100011…
…0001001010111010000
3202012200121200022000201
43010321012021113100
511430432243410112
6241042050024544
721162653325316
oct3047106112720
9665617608021
10211411310032
118172819a33a
1234b81278154
1316c22518030
14a33785c0b6
1557751ad257
hex31391895d0

211411310032 has 20 divisors (see below), whose sum is σ = 441117830020. Its totient is φ = 97574450688.

The previous prime is 211411310003. The next prime is 211411310059. The reversal of 211411310032 is 230013114112.

It can be written as a sum of positive squares in 2 ways, for example, as 127046622096 + 84364687936 = 356436^2 + 290456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211411309991 and 211411310009.

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, 508200057 + ... + 508200472.

It is an arithmetic number, because the mean of its divisors is an integer number (22055891501).

Almost surely, 2211411310032 is an apocalyptic number.

It is an amenable number.

211411310032 is an abundant number, since it is smaller than the sum of its proper divisors (229706519988).

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

211411310032 is a wasteful number, since it uses less digits than its factorization.

211411310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016400550 (or 1016400544 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 211411310032 its reverse (230013114112), we get a palindrome (441424424144).

It can be divided in two parts, 2114 and 11310032, that added together give a triangular number (11312146 = T4756).

The spelling of 211411310032 in words is "two hundred eleven billion, four hundred eleven million, three hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 1016400529 2032801058 4065602116 8131204232 13213206877 16262408464 26426413754 52852827508 105705655016 211411310032