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1130135103071 = 13234211195469
BaseRepresentation
bin10000011100100001010…
…011010010011001011111
311000001002001120121200022
4100130201103102121133
5122004004041244241
62223102113222355
7144435541606622
oct20344123223137
94001061517608
101130135103071
113a6318891a57
1216303bb619bb
1382757154800
143c9ad83ddb9
151e5e63b554b
hex107214d265f

1130135103071 has 12 divisors (see below), whose sum is σ = 1223797794120. Its totient is φ = 1043165803680.

The previous prime is 1130135103061. The next prime is 1130135103091. The reversal of 1130135103071 is 1703015310311.

It is a de Polignac number, because none of the positive numbers 2k-1130135103071 is a prime.

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 1130135103071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130135103011) 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 11 ways as a sum of consecutive naturals, for example, 5683925 + ... + 5879393.

It is an arithmetic number, because the mean of its divisors is an integer number (101983149510).

Almost surely, 21130135103071 is an apocalyptic number.

1130135103071 is a deficient number, since it is larger than the sum of its proper divisors (93662691049).

1130135103071 is a wasteful number, since it uses less digits than its factorization.

1130135103071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229706 (or 229693 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 26.

The spelling of 1130135103071 in words is "one trillion, one hundred thirty billion, one hundred thirty-five million, one hundred three thousand, seventy-one".

Divisors: 1 13 169 34211 195469 444743 2541097 5781659 33034261 6687189959 86933469467 1130135103071