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131121666 = 23413232707
BaseRepresentation
bin1111101000011…
…00001000000010
3100010201200010000
413310030020002
5232031343131
621002220430
73151341624
oct764141002
9303650100
10131121666
1168018715
1237ab4716
132121c1b0
14135b2c14
15b7a0ce6
hex7d0c202

131121666 has 80 divisors (see below), whose sum is σ = 330289344. Its totient is φ = 38576736.

The previous prime is 131121637. The next prime is 131121701. The reversal of 131121666 is 666121131.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47085 + ... + 49791.

Almost surely, 2131121666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131121666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165144672).

131121666 is an abundant number, since it is smaller than the sum of its proper divisors (199167678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131121666 is a wasteful number, since it uses less digits than its factorization.

131121666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2748 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 131121666 is about 11450.8369126453. The cubic root of 131121666 is about 508.0324885705.

Adding to 131121666 its reverse (666121131), we get a palindrome (797242797).

The spelling of 131121666 in words is "one hundred thirty-one million, one hundred twenty-one thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 81 117 138 162 207 234 299 351 414 598 621 702 897 1053 1242 1794 1863 2106 2691 2707 3726 5382 5414 8073 8121 16146 16242 24219 24363 35191 48438 48726 62261 70382 73089 105573 124522 146178 186783 211146 219267 316719 373566 438534 560349 633438 809393 950157 1120698 1618786 1681047 1900314 2428179 2850471 3362094 4856358 5043141 5700942 7284537 10086282 14569074 21853611 43707222 65560833 131121666