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133035320000 = 2654111911583
BaseRepresentation
bin111101111100110000…
…1011110001011000000
3110201101110102110220002
41323321201132023000
54134424020220000
6141040544335132
712416511363542
oct1737141361300
9421343373802
10133035320000
1151468a73a60
12219493144a8
13c7119a467b
146620667692
1536d95828d5
hex1ef985e2c0

133035320000 has 280 divisors, whose sum is σ = 361986527232. Its totient is φ = 48092800000.

The previous prime is 133035319999. The next prime is 133035320029. The reversal of 133035320000 is 23530331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84039209 + ... + 84040791.

Almost surely, 2133035320000 is an apocalyptic number.

133035320000 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 133035320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180993263616).

133035320000 is an abundant number, since it is smaller than the sum of its proper divisors (228951207232).

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

133035320000 is a wasteful number, since it uses less digits than its factorization.

133035320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 20.

Adding to 133035320000 its reverse (23530331), we get a palindrome (133058850331).

The spelling of 133035320000 in words is "one hundred thirty-three billion, thirty-five million, three hundred twenty thousand".