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211132024420 = 22565531610957
BaseRepresentation
bin1100010010100001110…
…0110000011001100100
3202011222011011010012011
43010220130300121210
511424344244240140
6240554232004004
721153022411462
oct3045034603144
9664864133164
10211132024420
11815a4583989
1234b03830604
1316ba96c0885
14a30c71b832
15575a8e1cea
hex3128730664

211132024420 has 24 divisors (see below), whose sum is σ = 443445186744. Its totient is φ = 84439869696.

The previous prime is 211132024351. The next prime is 211132024457. The reversal of 211132024420 is 24420231112.

It can be written as a sum of positive squares in 4 ways, for example, as 2802276 + 211129222144 = 1674^2 + 459488^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211132024391 and 211132024400.

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, 674419 + ... + 936538.

It is an arithmetic number, because the mean of its divisors is an integer number (18476882781).

Almost surely, 2211132024420 is an apocalyptic number.

211132024420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211132024420 is an abundant number, since it is smaller than the sum of its proper divisors (232313162324).

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

211132024420 is a wasteful number, since it uses less digits than its factorization.

211132024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617519 (or 1617517 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 211132024420 its reverse (24420231112), we get a palindrome (235552255532).

The spelling of 211132024420 in words is "two hundred eleven billion, one hundred thirty-two million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 6553 13106 26212 32765 65530 131060 1610957 3221914 6443828 8054785 16109570 32219140 10556601221 21113202442 42226404884 52783006105 105566012210 211132024420