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133310332032 = 2732861121343
BaseRepresentation
bin111110000100111101…
…0100011110010000000
3110202002121220112110220
41330021322203302000
54141004421111112
6141124131023040
712426361061103
oct1741172436200
9422077815426
10133310332032
115159a230629
1221a0543aa80
13c756963897
146648db473a
1537037a798c
hex1f09ea3c80

133310332032 has 64 divisors (see below), whose sum is σ = 354232258560. Its totient is φ = 44420879360.

The previous prime is 133310332013. The next prime is 133310332049. The reversal of 133310332032 is 230233013331.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 133310331993 and 133310332011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1037953 + ... + 1159295.

It is an arithmetic number, because the mean of its divisors is an integer number (5534879040).

Almost surely, 2133310332032 is an apocalyptic number.

133310332032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133310332032 is an abundant number, since it is smaller than the sum of its proper divisors (220921926528).

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

133310332032 is a wasteful number, since it uses less digits than its factorization.

133310332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124221 (or 124209 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 133310332032 its reverse (230233013331), we get a palindrome (363543345363).

The spelling of 133310332032 in words is "one hundred thirty-three billion, three hundred ten million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2861 5722 8583 11444 17166 22888 34332 45776 68664 91552 121343 137328 183104 242686 274656 364029 366208 485372 549312 728058 970744 1098624 1456116 1941488 2912232 3882976 5824464 7765952 11648928 15531904 23297856 46595712 347162323 694324646 1041486969 1388649292 2082973938 2777298584 4165947876 5554597168 8331895752 11109194336 16663791504 22218388672 33327583008 44436777344 66655166016 133310332032