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131116428 = 22338314627
BaseRepresentation
bin1111101000010…
…10110110001100
3100010201101221000
413310022312030
5232031211203
621002140300
73151320432
oct764126614
9303641830
10131116428
1168014793
1237ab1690
13212199b1
14135b0d52
15b79e4a3
hex7d0ad8c

131116428 has 48 divisors (see below), whose sum is σ = 344050560. Its totient is φ = 43175952.

The previous prime is 131116421. The next prime is 131116441. The reversal of 131116428 is 824611131.

It is a happy number.

131116428 is a `hidden beast` number, since 1 + 3 + 1 + 11 + 642 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (131116421) 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, 1651 + ... + 16277.

It is an arithmetic number, because the mean of its divisors is an integer number (7167720).

Almost surely, 2131116428 is an apocalyptic number.

131116428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131116428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172025280).

131116428 is an abundant number, since it is smaller than the sum of its proper divisors (212934132).

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

131116428 is a wasteful number, since it uses less digits than its factorization.

131116428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14723 (or 14715 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 131116428 is about 11450.6081934542. The cubic root of 131116428 is about 508.0257235822.

Adding to 131116428 its reverse (824611131), we get a palindrome (955727559).

The spelling of 131116428 in words is "one hundred thirty-one million, one hundred sixteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2988 4482 8964 14627 29254 43881 58508 87762 131643 175524 263286 394929 526572 789858 1214041 1579716 2428082 3642123 4856164 7284246 10926369 14568492 21852738 32779107 43705476 65558214 131116428