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1332413402112 = 2103213291931987
BaseRepresentation
bin10011011000111010000…
…001110000110000000000
311201101012011212212220200
4103120322001300300000
5133312240312331422
62500034031205200
7165156306023112
oct23307201606000
94641164785820
101332413402112
114740896a1a21
12196292676800
139885248b410
14486bc3413b2
15249d48712ac
hex1363a070c00

1332413402112 has 528 divisors, whose sum is σ = 4310509388640. Its totient is φ = 393587195904.

The previous prime is 1332413402107. The next prime is 1332413402143. The reversal of 1332413402112 is 2112043142331.

1332413402112 is a `hidden beast` number, since 1 + 3 + 3 + 241 + 3 + 402 + 1 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670564383 + ... + 670566369.

Almost surely, 21332413402112 is an apocalyptic number.

1332413402112 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 1332413402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155254694320).

1332413402112 is an abundant number, since it is smaller than the sum of its proper divisors (2978095986528).

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

1332413402112 is a wasteful number, since it uses less digits than its factorization.

1332413402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1332413402112 its reverse (2112043142331), we get a palindrome (3444456544443).

It can be divided in two parts, 133241 and 3402112, that added together give a palindrome (3535353).

The spelling of 1332413402112 in words is "one trillion, three hundred thirty-two billion, four hundred thirteen million, four hundred two thousand, one hundred twelve".