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13303212103332 = 22321193309751609
BaseRepresentation
bin1100000110010110010100…
…1110110101011010100100
31202002202220201120022102200
43001211211032311122210
53220424434244301312
644143224500134500
72542060666063554
oct301454516653244
952082821508380
1013303212103332
114269951466848
1215aa302997430
13756645102888
1433dc439c3164
151810a8d350dc
hexc19653b56a4

13303212103332 has 36 divisors (see below), whose sum is σ = 33655751432940. Its totient is φ = 4430687000832.

The previous prime is 13303212103319. The next prime is 13303212103333. The reversal of 13303212103332 is 23330121230331.

13303212103332 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 321 + 2 + 1 + 0 + 3 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3439630181376 + 9863581921956 = 1854624^2 + 3140634^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 13303212103296 and 13303212103305.

It is not an unprimeable number, because it can be changed into a prime (13303212103333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154832857 + ... + 154918752.

Almost surely, 213303212103332 is an apocalyptic number.

13303212103332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13303212103332 is an abundant number, since it is smaller than the sum of its proper divisors (20352539329608).

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

13303212103332 is a wasteful number, since it uses less digits than its factorization.

13303212103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309752812 (or 309752807 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13303212103332 its reverse (23330121230331), we get a palindrome (36633333333663).

The spelling of 13303212103332 in words is "thirteen trillion, three hundred three billion, two hundred twelve million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1193 2386 3579 4772 7158 10737 14316 21474 42948 309751609 619503218 929254827 1239006436 1858509654 2787764481 3717019308 5575528962 11151057924 369533669537 739067339074 1108601008611 1478134678148 2217202017222 3325803025833 4434404034444 6651606051666 13303212103332