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331003310331220 = 225171614536029861
BaseRepresentation
bin100101101000010111011011…
…0101110110101010101010100
31121101222121101211001000120021
41023100232312232311111110
5321341124234421044340
63131552453241514524
7126502125412236622
oct11320566656652524
91541877354030507
10331003310331220
119651679649729a
123115a7aaaa2a44
131129062a89b467
145ba4907b34512
1528402507e2e4a
hex12d0bb6bb5554

331003310331220 has 48 divisors (see below), whose sum is σ = 736000276547088. Its totient is φ = 124612218460160.

The previous prime is 331003310331163. The next prime is 331003310331247. The reversal of 331003310331220 is 22133013300133.

It can be written as a sum of positive squares in 8 ways, for example, as 723064510224 + 330280245820996 = 850332^2 + 18173614^2 .

It is a super-2 number, since 2×3310033103312202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51879090 + ... + 57908950.

It is an arithmetic number, because the mean of its divisors is an integer number (15333339094731).

Almost surely, 2331003310331220 is an apocalyptic number.

It is an amenable number.

331003310331220 is an abundant number, since it is smaller than the sum of its proper divisors (404996966215868).

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

331003310331220 is a wasteful number, since it uses less digits than its factorization.

331003310331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6191340 (or 6191338 counting only the distinct ones).

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

Adding to 331003310331220 its reverse (22133013300133), we get a palindrome (353136323631353).

The spelling of 331003310331220 in words is "three hundred thirty-one trillion, three billion, three hundred ten million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 161453 322906 645812 807265 1614530 2744701 3229060 5489402 6029861 10978804 12059722 13723505 24119444 27447010 30149305 54894020 60298610 102507637 120597220 205015274 410030548 512538185 1025076370 2050152740 973539148033 1947078296066 3894156592132 4867695740165 9735391480330 16550165516561 19470782960660 33100331033122 66200662066244 82750827582805 165501655165610 331003310331220