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322130212131 = 371323183128019
BaseRepresentation
bin1001011000000000111…
…01001111010100100011
31010210110210211021200110
410230000131033110203
520234210313242011
6403552400222403
732162454424260
oct4540035172443
91123423737613
10322130212131
1111468411a212
125252090aa03
13244b8941aa0
141183c2da267
1585a545dba6
hex4b0074f523

322130212131 has 64 divisors (see below), whose sum is σ = 551928545280. Its totient is φ = 162432673920.

The previous prime is 322130212097. The next prime is 322130212171. The reversal of 322130212131 is 131212031223.

It is not a de Polignac number, because 322130212131 - 222 = 322126017827 is a prime.

It is a super-2 number, since 2×3221302121312 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 322130212098 and 322130212107.

It is not an unprimeable number, because it can be changed into a prime (322130212171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11482840 + ... + 11510858.

It is an arithmetic number, because the mean of its divisors is an integer number (8623883520).

Almost surely, 2322130212131 is an apocalyptic number.

322130212131 is a deficient number, since it is larger than the sum of its proper divisors (229798333149).

322130212131 is a wasteful number, since it uses less digits than its factorization.

322130212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29896.

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

Adding to 322130212131 its reverse (131212031223), we get a palindrome (453342243354).

The spelling of 322130212131 in words is "three hundred twenty-two billion, one hundred thirty million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 23 39 69 91 161 273 299 483 897 1831 2093 5493 6279 12817 23803 28019 38451 42113 71409 84057 126339 166621 196133 294791 364247 499863 547469 588399 644437 884373 1092741 1642407 1933311 2549729 3832283 4511059 7649187 8377681 11496849 13533177 25133043 51302789 58643767 153908367 175931301 359119523 666936257 1077358569 1179964147 2000808771 3539892441 4668553799 8259749029 14005661397 15339533911 24779247087 46018601733 107376737377 322130212131