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12000102201331 = 431571797198911
BaseRepresentation
bin1010111010011111110111…
…0101000011011111110011
31120111012100202101110122221
42232213331311003133303
53033102202130420311
641304434300341511
72345656501503406
oct256477565033763
946435322343587
1012000102201331
11390723a93a212
121419849b44897
136907b292434a
142d6b453c3d3d
1515c23bdac671
hexae9fdd437f3

12000102201331 has 16 divisors (see below), whose sum is σ = 12358198217728. Its totient is φ = 11645608010400.

The previous prime is 12000102201137. The next prime is 12000102201337. The reversal of 12000102201331 is 13310220100021.

It is not a de Polignac number, because 12000102201331 - 237 = 11862663247859 is a prime.

It is a super-2 number, since 2×120001022013312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12000102201337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121272766 + ... + 121371676.

It is an arithmetic number, because the mean of its divisors is an integer number (772387388608).

Almost surely, 212000102201331 is an apocalyptic number.

12000102201331 is a deficient number, since it is larger than the sum of its proper divisors (358096016397).

12000102201331 is a wasteful number, since it uses less digits than its factorization.

12000102201331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117082.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12000102201331 its reverse (13310220100021), we get a palindrome (25310322301352).

The spelling of 12000102201331 in words is "twelve trillion, one hundred two million, two hundred one thousand, three hundred thirty-one".

Divisors: 1 43 157 6751 17971 98911 772753 2821447 4253173 15529027 121322221 667748161 1777529581 76433771983 279072144217 12000102201331