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1332312322032 = 243429371675737
BaseRepresentation
bin10011011000110100000…
…000001010111111110000
311201100221010200111010000
4103120310000022333300
5133312033423301112
62500020020510000
7165153640612026
oct23306400127760
94640833614100
101332312322032
11474037632a6a
1219626484b300
139883755a113
14486acb4c716
15249caa567dc
hex1363400aff0

1332312322032 has 400 divisors, whose sum is σ = 4122130541760. Its totient is φ = 414630752256.

The previous prime is 1332312322013. The next prime is 1332312322043. The reversal of 1332312322032 is 2302232132331.

1332312322032 is a `hidden beast` number, since 1 + 3 + 323 + 12 + 322 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×13323123220322 (a number of 25 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 = 1332312321987 and 1332312322005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 232228668 + ... + 232234404.

Almost surely, 21332312322032 is an apocalyptic number.

1332312322032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332312322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061065270880).

1332312322032 is an abundant number, since it is smaller than the sum of its proper divisors (2789818219728).

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

1332312322032 is a wasteful number, since it uses less digits than its factorization.

1332312322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5990 (or 5975 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1332312322032 its reverse (2302232132331), we get a palindrome (3634544454363).

The spelling of 1332312322032 in words is "one trillion, three hundred thirty-two billion, three hundred twelve million, three hundred twenty-two thousand, thirty-two".