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213322410242397 = 325313725113005403
BaseRepresentation
bin110000100000001111111110…
…011111000011000101011101
31000222022102102112212212211200
4300200033332133003011131
5210430033244010224042
62033410543512310113
762635015122041331
oct6040177637030535
91028272375785750
10213322410242397
1161a75587307125
121bb1338b6a2339
1392052a88b4451
143a96c071db7c1
15199e01354bc4c
hexc203fe7c315d

213322410242397 has 48 divisors (see below), whose sum is σ = 317497702511808. Its totient is φ = 137961304416000.

The previous prime is 213322410242369. The next prime is 213322410242437. The reversal of 213322410242397 is 793242014223312.

213322410242397 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 2 + 2 + 4 + 10 + 242 + 397 = 666.

It is not a de Polignac number, because 213322410242397 - 222 = 213322406048093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213322410242497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9899898 + ... + 22905300.

It is an arithmetic number, because the mean of its divisors is an integer number (6614535468996).

Almost surely, 2213322410242397 is an apocalyptic number.

It is an amenable number.

213322410242397 is a deficient number, since it is larger than the sum of its proper divisors (104175292269411).

213322410242397 is a wasteful number, since it uses less digits than its factorization.

213322410242397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13005850 (or 13005847 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 213322410242397 in words is "two hundred thirteen trillion, three hundred twenty-two billion, four hundred ten million, two hundred forty-two thousand, three hundred ninety-seven".

Divisors: 1 3 9 53 137 159 251 411 477 753 1233 2259 7261 13303 21783 34387 39909 65349 103161 119727 309483 1822511 5467533 13005403 16402599 39016209 117048627 689286359 1781740211 2067859077 3264356153 5345220633 6203577231 9793068459 16035661899 29379205377 94432231183 173010876109 283296693549 447216792961 519032628327 849890080647 1341650378883 1557097884981 4024951136649 23702490026933 71107470080799 213322410242397