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213212003131332 = 22332161791325587
BaseRepresentation
bin110000011110101001001001…
…101101010101111111000100
31000221220212110002102112002000
4300132221021231111333010
5210421231140300200312
62033244124140545300
762624026125061212
oct6036511155257704
91027825402375060
10213212003131332
1161a32780384497
121bab5ab8552230
1391c7a61c5632a
143a91731d21cb2
15199b200838adc
hexc1ea49b55fc4

213212003131332 has 48 divisors (see below), whose sum is σ = 552797437187520. Its totient is φ = 71067379211136.

The previous prime is 213212003131321. The next prime is 213212003131453. The reversal of 213212003131332 is 233131300212312.

213212003131332 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 12 + 0 + 0 + 313 + 1 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213212003131296 and 213212003131305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43328158 + ... + 47997429.

It is an arithmetic number, because the mean of its divisors is an integer number (11516613274740).

Almost surely, 2213212003131332 is an apocalyptic number.

It is an amenable number.

213212003131332 is an abundant number, since it is smaller than the sum of its proper divisors (339585434056188).

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

213212003131332 is a wasteful number, since it uses less digits than its factorization.

213212003131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91347217 (or 91347209 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 213212003131332 its reverse (233131300212312), we get a palindrome (446343303343644).

The spelling of 213212003131332 in words is "two hundred thirteen trillion, two hundred twelve billion, three million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 21617 43234 64851 86468 129702 194553 259404 389106 583659 778212 1167318 2334636 91325587 182651174 273976761 365302348 547953522 821930283 1095907044 1643860566 2465790849 3287721132 4931581698 9863163396 1974185214179 3948370428358 5922555642537 7896740856716 11845111285074 17767666927611 23690222570148 35535333855222 53303000782833 71070667710444 106606001565666 213212003131332