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331413022014030 = 233511111586876099
BaseRepresentation
bin100101101011010110001101…
…1011100110111101001001110
31121110102202221022211222212000
41023112230123130313221032
5321414332332113422110
63132505012425053130
7126543541431131655
oct11326543334675116
91543382838758760
10331413022014030
1196664523009730
12312060926271a6
13112c0163259978
145bba693a4819c
15284ac2eae71c0
hex12d6b1b737a4e

331413022014030 has 64 divisors (see below), whose sum is σ = 964110609504000. Its totient is φ = 80342550790560.

The previous prime is 331413022013971. The next prime is 331413022014091. The reversal of 331413022014030 is 30410220314133.

It is a happy number.

331413022014030 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 1 + 30 + 220 + 1 + 403 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 331413022013985 and 331413022014003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55793435080 + ... + 55793441019.

It is an arithmetic number, because the mean of its divisors is an integer number (15064228273500).

Almost surely, 2331413022014030 is an apocalyptic number.

331413022014030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331413022014030 is an abundant number, since it is smaller than the sum of its proper divisors (632697587489970).

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

331413022014030 is a wasteful number, since it uses less digits than its factorization.

331413022014030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111586876126 (or 111586876120 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 331413022014030 its reverse (30410220314133), we get a palindrome (361823242328163).

The spelling of 331413022014030 in words is "three hundred thirty-one trillion, four hundred thirteen billion, twenty-two million, fourteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 111586876099 223173752198 334760628297 557934380495 669521256594 1004281884891 1115868760990 1227455637089 1673803141485 2008563769782 2454911274178 3012845654673 3347606282970 3682366911267 5021409424455 6025691309346 6137278185445 7364733822534 10042818848910 11047100733801 12274556370890 15064228273365 18411834556335 22094201467602 30128456546730 33141302201403 36823669112670 55235503669005 66282604402806 110471007338010 165706511007015 331413022014030