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31126116 = 22371771307
BaseRepresentation
bin111011010111…
…1001001100100
32011120101000010
41312233021210
530432013431
63031050220
7525365460
oct166571144
964511003
1031126116
111662a56a
12a510970
1365aa728
1441c34a0
152aec846
hex1daf264

31126116 has 96 divisors (see below), whose sum is σ = 89413632. Its totient is φ = 8225280.

The previous prime is 31126097. The next prime is 31126129. The reversal of 31126116 is 61162113.

31126116 = T288 + T289 + ... + T594.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 31126092 and 31126101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101235 + ... + 101541.

It is an arithmetic number, because the mean of its divisors is an integer number (931392).

Almost surely, 231126116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31126116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44706816).

31126116 is an abundant number, since it is smaller than the sum of its proper divisors (58287516).

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

31126116 is a wasteful number, since it uses less digits than its factorization.

31126116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 31126116 is about 5579.0784185204. The cubic root of 31126116 is about 314.5634870901.

Adding to 31126116 its reverse (61162113), we get a palindrome (92288229).

The spelling of 31126116 in words is "thirty-one million, one hundred twenty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 71 84 102 119 142 204 213 238 284 307 357 426 476 497 614 714 852 921 994 1207 1228 1428 1491 1842 1988 2149 2414 2982 3621 3684 4298 4828 5219 5964 6447 7242 8449 8596 10438 12894 14484 15657 16898 20876 21797 25347 25788 31314 33796 36533 43594 50694 62628 65391 73066 87188 101388 109599 130782 146132 152579 219198 261564 305158 370549 438396 457737 610316 741098 915474 1111647 1482196 1830948 2223294 2593843 4446588 5187686 7781529 10375372 15563058 31126116