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1112013313129 is a prime number
BaseRepresentation
bin10000001011101001001…
…010001001010001101001
310221022022010020022021001
4100023221022021101221
5121204400402010004
62210504000315001
7143224504130035
oct20135112112151
93838263208231
101112013313129
11399669585a54
1215b623012a61
1380b29921694
143bb70b8d1c5
151ddd54a11a4
hex102e9289469

1112013313129 has 2 divisors, whose sum is σ = 1112013313130. Its totient is φ = 1112013313128.

The previous prime is 1112013313067. The next prime is 1112013313133. The reversal of 1112013313129 is 9213133102111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 752790493225 + 359222819904 = 867635^2 + 599352^2 .

It is a cyclic number.

It is not a de Polignac number, because 1112013313129 - 229 = 1111476442217 is a prime.

It is a super-2 number, since 2×11120133131292 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1112013313097 and 1112013313106.

It is not a weakly prime, because it can be changed into another prime (1112013313189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 556006656564 + 556006656565.

It is an arithmetic number, because the mean of its divisors is an integer number (556006656565).

Almost surely, 21112013313129 is an apocalyptic number.

It is an amenable number.

1112013313129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1112013313129 is an equidigital number, since it uses as much as digits as its factorization.

1112013313129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 1112013313129 in words is "one trillion, one hundred twelve billion, thirteen million, three hundred thirteen thousand, one hundred twenty-nine".