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213101024328 = 233237379211063
BaseRepresentation
bin1100011001110111001…
…1111001010001001000
3202101001101011200021200
43012131303321101020
511442412330234303
6241521450304200
721252561551133
oct3063563712110
9671041150250
10213101024328
1182414a77735
1235373128060
131713160298a
14a45802721a
1558236ce3a3
hex319dcf9448

213101024328 has 96 divisors (see below), whose sum is σ = 594314011200. Its totient is φ = 68931160704.

The previous prime is 213101024327. The next prime is 213101024329. The reversal of 213101024328 is 823420101312.

213101024328 is a `hidden beast` number, since 2 + 1 + 310 + 1 + 0 + 24 + 328 = 666.

213101024328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213101024327) and next prime (213101024329).

It is not an unprimeable number, because it can be changed into a prime (213101024327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904125 + ... + 1115187.

It is an arithmetic number, because the mean of its divisors is an integer number (6190770950).

Almost surely, 2213101024328 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 213101024328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297157005600).

213101024328 is an abundant number, since it is smaller than the sum of its proper divisors (381212986872).

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

213101024328 is a wasteful number, since it uses less digits than its factorization.

213101024328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211491 (or 211484 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 213101024328 in words is "two hundred thirteen billion, one hundred one million, twenty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 379 444 666 758 888 1137 1332 1516 2274 2664 3032 3411 4548 6822 9096 13644 14023 27288 28046 42069 56092 84138 112184 126207 168276 211063 252414 336552 422126 504828 633189 844252 1009656 1266378 1688504 1899567 2532756 3799134 5065512 7598268 7809331 15196536 15618662 23427993 31237324 46855986 62474648 70283979 79992877 93711972 140567958 159985754 187423944 239978631 281135916 319971508 479957262 562271832 639943016 719935893 959914524 1439871786 1919829048 2879743572 2959736449 5759487144 5919472898 8879209347 11838945796 17758418694 23677891592 26637628041 35516837388 53275256082 71033674776 106550512164 213101024328