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330130232220020 = 225401159629257869
BaseRepresentation
bin100101100010000000110111…
…1001110001001100101110100
31121021220010211111112120221112
41023010001233032021211310
5321232323203422020040
63130043422431534152
7126352056623604041
oct11304015716114564
91537803744476845
10330130232220020
119620a499679a81
123103954a98a358
13112291bb87448b
145b7456205a1c8
1528276a1a6c365
hex12c406f389974

330130232220020 has 48 divisors (see below), whose sum is σ = 695009398280400. Its totient is φ = 131721449932800.

The previous prime is 330130232220011. The next prime is 330130232220023. The reversal of 330130232220020 is 20022232031033.

It can be written as a sum of positive squares in 8 ways, for example, as 56713490858896 + 273416741361124 = 7530836^2 + 16535318^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330130232220023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1280095646 + ... + 1280353514.

It is an arithmetic number, because the mean of its divisors is an integer number (14479362464175).

Almost surely, 2330130232220020 is an apocalyptic number.

It is an amenable number.

330130232220020 is an abundant number, since it is smaller than the sum of its proper divisors (364879166060380).

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

330130232220020 is a wasteful number, since it uses less digits than its factorization.

330130232220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417908 (or 417906 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 330130232220020 its reverse (20022232031033), we get a palindrome (350152464251053).

The spelling of 330130232220020 in words is "three hundred thirty trillion, one hundred thirty billion, two hundred thirty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 401 802 1604 2005 4010 8020 159629 257869 319258 515738 638516 798145 1031476 1289345 1596290 2578690 3192580 5157380 64011229 103405469 128022458 206810938 256044916 320056145 413621876 517027345 640112290 1034054690 1280224580 2068109380 41163370601 82326741202 164653482404 205816853005 411633706010 823267412020 16506511611001 33013023222002 66026046444004 82532558055005 165065116110010 330130232220020