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1333212123331 = 1132934540069
BaseRepresentation
bin10011011001101001101…
…000101001000011000011
311201110020211211010110001
4103121221220221003003
5133320404300421311
62500245202420431
7165215145032314
oct23315150510303
94643224733401
101333212123331
1147445953a000
12196476061717
139894bab421a
144875645660b
1524a2ea444c1
hex13669a290c3

1333212123331 has 16 divisors (see below), whose sum is σ = 1516999874400. Its totient is φ = 1170217503840.

The previous prime is 1333212123307. The next prime is 1333212123349.

It is a happy number.

1333212123331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1333212123331 - 215 = 1333212090563 is a prime.

It is a super-2 number, since 2×13332121233312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1333212123331.

It is not an unprimeable number, because it can be changed into a prime (1333212123371) 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, 17231436 + ... + 17308633.

It is an arithmetic number, because the mean of its divisors is an integer number (94812492150).

Almost surely, 21333212123331 is an apocalyptic number.

1333212123331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1333212123331 is a deficient number, since it is larger than the sum of its proper divisors (183787751069).

1333212123331 is an equidigital number, since it uses as much as digits as its factorization.

1333212123331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34540131 (or 34540109 counting only the distinct ones).

The product of its digits is 5832, while the sum is 28.

The spelling of 1333212123331 in words is "one trillion, three hundred thirty-three billion, two hundred twelve million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 11 29 121 319 1331 3509 38599 34540069 379940759 1001662001 4179348349 11018282011 45972831839 121201102121 1333212123331