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1311131000223 = 321137357939121
BaseRepresentation
bin10011000101000101011…
…111110101110110011111
311122100020222021211222200
4103011011133311312133
5132440144014001343
62442154131342543
7163504022422152
oct23050537656637
94570228254880
101311131000223
114660582a5430
12192133151a53
13968401ca8c5
144765d9d9c99
152418b23e4d3
hex131457f5d9f

1311131000223 has 24 divisors (see below), whose sum is σ = 2121863115216. Its totient is φ = 773148499200.

The previous prime is 1311131000147. The next prime is 1311131000243. The reversal of 1311131000223 is 3220001311131.

1311131000223 is a `hidden beast` number, since 1 + 311 + 131 + 0 + 0 + 0 + 223 = 666.

It is not a de Polignac number, because 1311131000223 - 214 = 1311130983839 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1311131000196 and 1311131000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311131000243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178965898 + ... + 178973223.

It is an arithmetic number, because the mean of its divisors is an integer number (88410963134).

Almost surely, 21311131000223 is an apocalyptic number.

1311131000223 is a deficient number, since it is larger than the sum of its proper divisors (810732114993).

1311131000223 is a wasteful number, since it uses less digits than its factorization.

1311131000223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357939175 (or 357939172 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1311131000223 its reverse (3220001311131), we get a palindrome (4531132311354).

The spelling of 1311131000223 in words is "one trillion, three hundred eleven billion, one hundred thirty-one million, two hundred twenty-three", and thus it is an aban number.

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 357939121 1073817363 3221452089 3937330331 11811990993 13243747477 35435972979 39731242431 119193727293 145681222247 437043666741 1311131000223