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13301132020440 = 233511101181551207
BaseRepresentation
bin1100000110001110100100…
…1111111100101011011000
31202002120112202112011010120
43001203221033330223120
53220411204244123230
644142242232513240
72541655310502135
oct301435117745330
952076482464116
1013301132020440
114268a842a1780
1215a9a2224b820
137563a31994b4
1433dac763d58c
15180ed6404310
hexc18e93fcad8

13301132020440 has 256 divisors, whose sum is σ = 44204941347840. Its totient is φ = 3174946560000.

The previous prime is 13301132020403. The next prime is 13301132020493. The reversal of 13301132020440 is 4402023110331.

It is a happy number.

It is a super-2 number, since 2×133011320204402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13301132020440.

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 63 ways as a sum of consecutive naturals, for example, 23855317 + ... + 24406523.

It is an arithmetic number, because the mean of its divisors is an integer number (172675552140).

Almost surely, 213301132020440 is an apocalyptic number.

13301132020440 is a gapful number since it is divisible by the number (10) 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 13301132020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22102470673920).

13301132020440 is an abundant number, since it is smaller than the sum of its proper divisors (30903809327400).

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

13301132020440 is a wasteful number, since it uses less digits than its factorization.

13301132020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551514 (or 551510 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13301132020440 its reverse (4402023110331), we get a palindrome (17703155130771).

The spelling of 13301132020440 in words is "thirteen trillion, three hundred one billion, one hundred thirty-two million, twenty thousand, four hundred forty".