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213012303232131 = 331317104323342191
BaseRepresentation
bin110000011011101111001010…
…101010101011110010000011
31000221012202222122211112111000
4300123233022222223302003
5210404443144111412011
62033012300131023043
762603426306663514
oct6033571252536203
91027182878745430
10213012303232131
1161966012a56487
121ba8326543aa83
1391b1c87b6bac0
143a85bc9a3ca0b
151995e138e3356
hexc1bbcaaabc83

213012303232131 has 64 divisors (see below), whose sum is σ = 359844289136640. Its totient is φ = 123372098542080.

The previous prime is 213012303232109. The next prime is 213012303232133. The reversal of 213012303232131 is 131232303210312.

213012303232131 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 1 + 2 + 303 + 2 + 321 + 31 = 666.

It is not a de Polignac number, because 213012303232131 - 29 = 213012303231619 is a prime.

It is a super-2 number, since 2×2130123032321312 (a number of 29 digits) contains 22 as substring.

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 = 213012303232095 and 213012303232104.

It is not an unprimeable number, because it can be changed into a prime (213012303232133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 622324246 + ... + 622666436.

It is an arithmetic number, because the mean of its divisors is an integer number (5622567017760).

Almost surely, 2213012303232131 is an apocalyptic number.

213012303232131 is a deficient number, since it is larger than the sum of its proper divisors (146831985904509).

213012303232131 is a wasteful number, since it uses less digits than its factorization.

213012303232131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446553 (or 446547 counting only the distinct ones).

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

Adding to 213012303232131 its reverse (131232303210312), we get a palindrome (344244606442443).

The spelling of 213012303232131 in words is "two hundred thirteen trillion, twelve billion, three hundred three million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 459 663 1989 5967 104323 312969 342191 938907 1026573 1356199 1773491 2816721 3079719 4068597 4448483 5320473 5817247 9239157 12205791 13345449 15961419 17451741 23055383 36617373 40036347 47884257 52355223 69166149 75624211 120109041 157065669 207498447 226872633 622495341 680617899 2041853697 35698391693 107095175079 321285525237 464079092009 606872658781 963856575711 1392237276027 1820617976343 4176711828081 5461853929029 7889344564153 12530135484243 16385561787087 23668033692459 71004101077377 213012303232131