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31124124 = 2232311672
BaseRepresentation
bin111011010111…
…0101010011100
32011120021021100
41312232222130
530431432444
63031033100
7525356613
oct166565234
964507240
1031124124
1116629019
12a50b790
1365a9855
1441c287a
152aebe69
hex1daea9c

31124124 has 54 divisors (see below), whose sum is σ = 81701984. Its totient is φ = 9979920.

The previous prime is 31124123. The next prime is 31124143. The reversal of 31124124 is 42142113.

It is a super-2 number, since 2×311241242 = 1937422189534752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 31124097 and 31124106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31124123) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 186289 + ... + 186455.

Almost surely, 231124124 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 31124124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40850992).

31124124 is an abundant number, since it is smaller than the sum of its proper divisors (50577860).

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

31124124 is a wasteful number, since it uses less digits than its factorization.

31124124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 203 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 31124124 is about 5578.8998915557. The cubic root of 31124124 is about 314.5567764998.

Adding to 31124124 its reverse (42142113), we get a palindrome (73266237).

The spelling of 31124124 in words is "thirty-one million, one hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 167 186 279 334 372 501 558 668 1002 1116 1503 2004 3006 5177 6012 10354 15531 20708 27889 31062 46593 55778 62124 83667 93186 111556 167334 186372 251001 334668 502002 864559 1004004 1729118 2593677 3458236 5187354 7781031 10374708 15562062 31124124