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13233120030 = 23251353593617
BaseRepresentation
bin11000101001100000…
…10110001100011110
31021011020110011000200
430110300112030132
5204100134320110
610025035404330
7645633443604
oct142460261436
937136404020
1013233120030
115680829a39
1226938b36a6
13132b784150
148d76cd874
15526b4e6c0
hex314c1631e

13233120030 has 192 divisors, whose sum is σ = 38402320320. Its totient is φ = 3140886528.

The previous prime is 13233119993. The next prime is 13233120049. The reversal of 13233120030 is 3002133231.

13233120030 is a `hidden beast` number, since 1 + 323 + 312 + 0 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13233119985 and 13233120012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3656782 + ... + 3660398.

It is an arithmetic number, because the mean of its divisors is an integer number (200012085).

Almost surely, 213233120030 is an apocalyptic number.

13233120030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13233120030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19201160160).

13233120030 is an abundant number, since it is smaller than the sum of its proper divisors (25169200290).

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

13233120030 is a wasteful number, since it uses less digits than its factorization.

13233120030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13233120030 its reverse (3002133231), we get a palindrome (16235253261).

The spelling of 13233120030 in words is "thirteen billion, two hundred thirty-three million, one hundred twenty thousand, thirty".