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11161072431 = 331632536031
BaseRepresentation
bin10100110010100000…
…00111001100101111
31001210211112020002000
422121100013030233
5140324213304211
65043300303343
7543403356525
oct123120071457
931724466060
1011161072431
114808152a03
1221b59a1b53
13108b402292
1477c43c315
15454ca9656
hex29940732f

11161072431 has 16 divisors (see below), whose sum is σ = 16636369920. Its totient is φ = 7395063480.

The previous prime is 11161072411. The next prime is 11161072451. The reversal of 11161072431 is 13427016111.

11161072431 is a `hidden beast` number, since 1 + 1 + 1 + 610 + 7 + 2 + 43 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (11161072411) and next prime (11161072451).

It is not a de Polignac number, because 11161072431 - 214 = 11161056047 is a prime.

It is a super-2 number, since 2×111610724312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11161072395 and 11161072404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11161072411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1263615 + ... + 1272416.

It is an arithmetic number, because the mean of its divisors is an integer number (1039773120).

Almost surely, 211161072431 is an apocalyptic number.

11161072431 is a deficient number, since it is larger than the sum of its proper divisors (5475297489).

11161072431 is a wasteful number, since it uses less digits than its factorization.

11161072431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536203 (or 2536197 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 11161072431 its reverse (13427016111), we get a palindrome (24588088542).

It can be divided in two parts, 111610 and 72431, that added together give a square (184041 = 4292).

The spelling of 11161072431 in words is "eleven billion, one hundred sixty-one million, seventy-two thousand, four hundred thirty-one".

Divisors: 1 3 9 27 163 489 1467 4401 2536031 7608093 22824279 68472837 413373053 1240119159 3720357477 11161072431