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213232311012 = 223723445724763
BaseRepresentation
bin1100011010010110100…
…0101101101011100100
3202101101112012201202110
43012211220231223210
511443144432423022
6241542500241020
721256044511140
oct3064550555344
9671345181673
10213232311012
1182482098326
12353ab0a0170
131715287bcc6
14a46b640220
15582eeb400c
hex31a5a2dae4

213232311012 has 96 divisors (see below), whose sum is σ = 593499174912. Its totient is φ = 58259241216.

The previous prime is 213232310969. The next prime is 213232311013. The reversal of 213232311012 is 210113232312.

213232311012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 213232311012.

It is not an unprimeable number, because it can be changed into a prime (213232311013) 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 31 ways as a sum of consecutive naturals, for example, 8598543 + ... + 8623305.

It is an arithmetic number, because the mean of its divisors is an integer number (6182283072).

Almost surely, 2213232311012 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 213232311012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296749587456).

213232311012 is an abundant number, since it is smaller than the sum of its proper divisors (380266863900).

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

213232311012 is a wasteful number, since it uses less digits than its factorization.

213232311012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29257 (or 29255 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213232311012 its reverse (210113232312), we get a palindrome (423345543324).

The spelling of 213232311012 in words is "two hundred thirteen billion, two hundred thirty-two million, three hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 4457 8914 13371 17828 24763 26742 31199 49526 53484 62398 74289 93597 99052 102511 124796 148578 173341 187194 205022 297156 307533 346682 374388 410044 520023 569549 615066 693364 717577 1040046 1139098 1230132 1435154 1708647 2080092 2152731 2278196 2870308 3417294 3986843 4305462 6834588 7973686 8610924 11960529 15947372 23921058 47842116 110368691 220737382 331106073 441474764 662212146 772580837 1324424292 1545161674 2317742511 2538479893 3090323348 4635485022 5076959786 7615439679 9270970044 10153919572 15230879358 17769359251 30461758716 35538718502 53308077753 71077437004 106616155506 213232311012