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332100331130320 = 2454151254139129
BaseRepresentation
bin100101110000010110010001…
…0010001000100110111010000
31121112212111000002012200221221
41023200230202101010313100
5322012112434232132240
63134152441432454424
7126644312540206354
oct11340544221046720
91545774002180857
10332100331130320
11968a9a610a3585
12312b7328b4a414
131133cc0839525c
145c01a5568b464
15285da5995ca4a
hex12e0b22444dd0

332100331130320 has 20 divisors (see below), whose sum is σ = 772133269878180. Its totient is φ = 132840132452096.

The previous prime is 332100331130263. The next prime is 332100331130329. The reversal of 332100331130320 is 23031133001233.

It can be written as a sum of positive squares in 2 ways, for example, as 235411576824384 + 96688754305936 = 15343128^2 + 9833044^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×3321003311303202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332100331130329) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2075627069485 + ... + 2075627069644.

It is an arithmetic number, because the mean of its divisors is an integer number (38606663493909).

Almost surely, 2332100331130320 is an apocalyptic number.

It is an amenable number.

332100331130320 is an abundant number, since it is smaller than the sum of its proper divisors (440032938747860).

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

332100331130320 is a wasteful number, since it uses less digits than its factorization.

332100331130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151254139142 (or 4151254139136 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 332100331130320 its reverse (23031133001233), we get a palindrome (355131464131553).

The spelling of 332100331130320 in words is "three hundred thirty-two trillion, one hundred billion, three hundred thirty-one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4151254139129 8302508278258 16605016556516 20756270695645 33210033113032 41512541391290 66420066226064 83025082782580 166050165565160 332100331130320