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13332130203000 = 23353713715130689
BaseRepresentation
bin1100001000000010000011…
…1000101000010101111000
31202012112120002001222120010
43002000200320220111320
53221413200312444000
644204410203301520
72544133420632210
oct302004070502570
952175502058503
1013332130203000
114280140a28074
1215b3a3351a8a0
137592a32b345b
143413c8481240
15181bec9a0d50
hexc2020e28578

13332130203000 has 512 divisors, whose sum is σ = 48204257587200. Its totient is φ = 3004968960000.

The previous prime is 13332130202969. The next prime is 13332130203011. The reversal of 13332130203000 is 30203123331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 434411656 + ... + 434442344.

It is an arithmetic number, because the mean of its divisors is an integer number (94148940600).

Almost surely, 213332130203000 is an apocalyptic number.

13332130203000 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 13332130203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24102128793600).

13332130203000 is an abundant number, since it is smaller than the sum of its proper divisors (34872127384200).

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

13332130203000 is a wasteful number, since it uses less digits than its factorization.

13332130203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31008 (or 30994 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13332130203000 its reverse (30203123331), we get a palindrome (13362333326331).

The spelling of 13332130203000 in words is "thirteen trillion, three hundred thirty-two billion, one hundred thirty million, two hundred three thousand".