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1322330331132 = 223261602154067
BaseRepresentation
bin10011001111100001000…
…001111001011111111100
311200102011110210210211100
4103033201001321133330
5133131113031044012
62451245320053100
7164351402234526
oct23174101713774
94612143723740
101322330331132
1146a884aa9508
12194339904190
1397906506b25
1448003156a16
15245e45548dc
hex133e10797fc

1322330331132 has 36 divisors (see below), whose sum is σ = 3397353251656. Its totient is φ = 433550927520.

The previous prime is 1322330331121. The next prime is 1322330331167. The reversal of 1322330331132 is 2311330332231.

1322330331132 is a `hidden beast` number, since 1 + 3 + 223 + 303 + 3 + 1 + 132 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×13223303311324 (a number of 50 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1322330331096 and 1322330331105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301074838 + ... + 301079229.

Almost surely, 21322330331132 is an apocalyptic number.

1322330331132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1322330331132 is an abundant number, since it is smaller than the sum of its proper divisors (2075022920524).

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

1322330331132 is a wasteful number, since it uses less digits than its factorization.

1322330331132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602154138 (or 602154133 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1322330331132 its reverse (2311330332231), we get a palindrome (3633660663363).

The spelling of 1322330331132 in words is "one trillion, three hundred twenty-two billion, three hundred thirty million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 602154067 1204308134 1806462201 2408616268 3612924402 5419386603 7225848804 10838773206 21677546412 36731398087 73462796174 110194194261 146925592348 220388388522 330582582783 440776777044 661165165566 1322330331132