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213330191232 = 273312578093
BaseRepresentation
bin1100011010101101111…
…0000110001110000000
3202101122100101120011210
43012223132012032000
511443400012104412
6242000314210120
721261343464204
oct3065336061600
9671570346153
10213330191232
1182522371174
1235417a23940
1317169c2c9b2
14a47a63cb04
15583889a83c
hex31ab786380

213330191232 has 96 divisors (see below), whose sum is σ = 585528288840. Its totient is φ = 68816071680.

The previous prime is 213330191231. The next prime is 213330191279. The reversal of 213330191232 is 232191033312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 213330191232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213330191231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79978 + ... + 658070.

Almost surely, 2213330191232 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 213330191232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292764144420).

213330191232 is an abundant number, since it is smaller than the sum of its proper divisors (372198097608).

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

213330191232 is an equidigital number, since it uses as much as digits as its factorization.

213330191232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578172 (or 578129 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The spelling of 213330191232 in words is "two hundred thirteen billion, three hundred thirty million, one hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 961 992 1488 1922 1984 2883 2976 3844 3968 5766 5952 7688 11532 11904 15376 23064 30752 46128 61504 92256 123008 184512 369024 578093 1156186 1734279 2312372 3468558 4624744 6937116 9249488 13874232 17920883 18498976 27748464 35841766 36997952 53762649 55496928 71683532 73995904 107525298 110993856 143367064 215050596 221987712 286734128 430101192 555547373 573468256 860202384 1111094746 1146936512 1666642119 1720404768 2222189492 2293873024 3333284238 3440809536 4444378984 6666568476 6881619072 8888757968 13333136952 17777515936 26666273904 35555031872 53332547808 71110063744 106665095616 213330191232