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211330024032 = 25329533793779
BaseRepresentation
bin1100010011010001000…
…0000100001001100000
3202012110221201112121010
43010310100010021200
511430300441232112
6241030023500520
721160645365021
oct3046420041140
9665427645533
10211330024032
118169631aa26
1234b59bb7740
1316c0b7274ca
14a32ab3cc48
15576cea363c
hex3134404260

211330024032 has 192 divisors, whose sum is σ = 586395936000. Its totient is φ = 66537289728.

The previous prime is 211330024007. The next prime is 211330024039. The reversal of 211330024032 is 230420033112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211330024039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55920319 + ... + 55924097.

It is an arithmetic number, because the mean of its divisors is an integer number (3054145500).

Almost surely, 2211330024032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211330024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293197968000).

211330024032 is an abundant number, since it is smaller than the sum of its proper divisors (375065911968).

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

211330024032 is a wasteful number, since it uses less digits than its factorization.

211330024032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 211330024032 its reverse (230420033112), we get a palindrome (441750057144).

The spelling of 211330024032 in words is "two hundred eleven billion, three hundred thirty million, twenty-four thousand, thirty-two".