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212301013032 = 233219155190799
BaseRepresentation
bin1100010110111000100…
…0000110000000101000
3202021222121210220002200
43011232020012000220
511434243024404112
6241310231300200
721224005556523
oct3055610060050
9667877726080
10212301013032
1182044429379
123518b21a660
1317034947904
14a3bda97bba
1557c8353cdc
hex316e206028

212301013032 has 48 divisors (see below), whose sum is σ = 605244120000. Its totient is φ = 67042424736.

The previous prime is 212301013031. The next prime is 212301013033. The reversal of 212301013032 is 230310103212.

It is an interprime number because it is at equal distance from previous prime (212301013031) and next prime (212301013033).

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 = 212301012996 and 212301013014.

It is not an unprimeable number, because it can be changed into a prime (212301013031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77594032 + ... + 77596767.

It is an arithmetic number, because the mean of its divisors is an integer number (12609252500).

Almost surely, 2212301013032 is an apocalyptic number.

It is an amenable number.

212301013032 is an abundant number, since it is smaller than the sum of its proper divisors (392943106968).

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

212301013032 is a wasteful number, since it uses less digits than its factorization.

212301013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155190830 (or 155190823 counting only the distinct ones).

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

Adding to 212301013032 its reverse (230310103212), we get a palindrome (442611116244).

The spelling of 212301013032 in words is "two hundred twelve billion, three hundred one million, thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 155190799 310381598 465572397 620763196 931144794 1241526392 1396717191 1862289588 2793434382 2948625181 3724579176 5586868764 5897250362 8845875543 11173737528 11794500724 17691751086 23589001448 26537626629 35383502172 53075253258 70767004344 106150506516 212301013032