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1322333211332 = 227213750996749
BaseRepresentation
bin10011001111100001001…
…100111000101011000100
311200102011200020010201102
4103033201030320223010
5133131114300230312
62451245501515232
7164351435561600
oct23174114705304
94612150203642
101322333211332
1146a886696441
1219433a872b18
1397906ca4aa3
14480036a6500
15245e4922ec2
hex133e1338ac4

1322333211332 has 72 divisors (see below), whose sum is σ = 2716896735000. Its totient is φ = 561466569216.

The previous prime is 1322333211323. The next prime is 1322333211341. The reversal of 1322333211332 is 2331123332231.

It is an interprime number because it is at equal distance from previous prime (1322333211323) and next prime (1322333211341).

It can be written as a sum of positive squares in 4 ways, for example, as 729411651136 + 592921560196 = 854056^2 + 770014^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1322333211295 and 1322333211304.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13619294 + ... + 13716042.

It is an arithmetic number, because the mean of its divisors is an integer number (37734676875).

Almost surely, 21322333211332 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 1322333211332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358448367500).

1322333211332 is an abundant number, since it is smaller than the sum of its proper divisors (1394563523668).

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

1322333211332 is a wasteful number, since it uses less digits than its factorization.

1322333211332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97413 (or 97404 counting only the distinct ones).

The product of its digits is 11664, while the sum is 29.

Adding to 1322333211332 its reverse (2331123332231), we get a palindrome (3653456543563).

The spelling of 1322333211332 in words is "one trillion, three hundred twenty-two billion, three hundred thirty-three million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 137 196 274 509 548 959 1018 1918 2036 3563 3836 6713 7126 13426 14252 24941 26852 49882 69733 96749 99764 139466 193498 278932 386996 488131 677243 976262 1354486 1952524 2708972 3416917 4740701 6833834 9481402 13254613 13667668 18962804 26509226 49245241 53018452 92782291 98490482 185564582 196980964 344716687 371129164 649476037 689433374 1298952074 1378866748 2413016809 2597904148 4826033618 6746598017 9652067236 13493196034 26986392068 47226186119 94452372238 188904744476 330583302833 661166605666 1322333211332