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1131012000213 = 32272696174017
BaseRepresentation
bin10000011101010101100…
…100011000100111010101
311000010100011121121102020
4100131111210120213111
5122012303033001323
62223325120203353
7144466350244224
oct20352544304725
94003304547366
101131012000213
113a6728874837
12163245769559
1382866a1c664
143ca540a4cbb
151e64837bae3
hex107559189d5

1131012000213 has 16 divisors (see below), whose sum is σ = 1520290192320. Its totient is φ = 747895602176.

The previous prime is 1131012000211. The next prime is 1131012000269. The reversal of 1131012000213 is 3120002101311.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1131012000213 - 21 = 1131012000211 is a prime.

It is a super-2 number, since 2×11310120002132 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1131012000192 and 1131012000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131012000211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2903820 + ... + 3270197.

It is an arithmetic number, because the mean of its divisors is an integer number (95018137020).

Almost surely, 21131012000213 is an apocalyptic number.

It is an amenable number.

1131012000213 is a deficient number, since it is larger than the sum of its proper divisors (389278192107).

1131012000213 is a wasteful number, since it uses less digits than its factorization.

1131012000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174516.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1131012000213 its reverse (3120002101311), we get a palindrome (4251014101524).

The spelling of 1131012000213 in words is "one trillion, one hundred thirty-one billion, twelve million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 227 269 681 807 61063 183189 6174017 18522051 1401501859 1660810573 4204505577 4982431719 377004000071 1131012000213