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330130100130100 = 225219518933484811
BaseRepresentation
bin100101100010000000110011…
…1010110010001000100110100
31121021220010111021222201122021
41023010001213112101010310
5321232322421113130400
63130043401352442524
7126352053431060164
oct11304014726210464
91537803437881567
10330130100130100
119620a43105a956
12310395126a9444
131122919a3a666a
145b7454c6b45a4
15282769517971a
hex12c4067591134

330130100130100 has 72 divisors (see below), whose sum is σ = 754231996375200. Its totient is φ = 125077819881600.

The previous prime is 330130100130079. The next prime is 330130100130107. The reversal of 330130100130100 is 1031001031033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330130100130107) 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 23 ways as a sum of consecutive naturals, for example, 6883306 + ... + 26601505.

It is an arithmetic number, because the mean of its divisors is an integer number (10475444394100).

Almost surely, 2330130100130100 is an apocalyptic number.

It is an amenable number.

330130100130100 is an abundant number, since it is smaller than the sum of its proper divisors (424101896245100).

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

330130100130100 is a wasteful number, since it uses less digits than its factorization.

330130100130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33490033 (or 33490026 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 330130100130100 its reverse (1031001031033), we get a palindrome (331161101161133).

The spelling of 330130100130100 in words is "three hundred thirty trillion, one hundred thirty billion, one hundred million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 5189 10378 20756 25945 51890 98591 103780 129725 197182 259450 394364 492955 518900 985910 1971820 2464775 4929550 9859100 33484811 66969622 133939244 167424055 334848110 636211409 669696220 837120275 1272422818 1674240550 2544845636 3181057045 3348481100 6362114090 12724228180 15905285225 31810570450 63621140900 173752684279 347505368558 695010737116 868763421395 1737526842790 3301301001301 3475053685580 4343817106975 6602602002602 8687634213950 13205204005204 16506505006505 17375268427900 33013010013010 66026020026020 82532525032525 165065050065050 330130100130100