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31105144 = 23779289
BaseRepresentation
bin111011010101…
…0000001111000
32011112022020101
41312222001320
530430331034
63030405144
7525250360
oct166520170
964468211
1031105144
1116615834
12a5007b4
1365a1015
1441b99a0
152ae6514
hex1daa078

31105144 has 48 divisors (see below), whose sum is σ = 68266800. Its totient is φ = 13014144.

The previous prime is 31105141. The next prime is 31105157. The reversal of 31105144 is 44150113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31105141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349452 + ... + 349540.

It is an arithmetic number, because the mean of its divisors is an integer number (1422225).

Almost surely, 231105144 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 31105144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34133400).

31105144 is an abundant number, since it is smaller than the sum of its proper divisors (37161656).

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

31105144 is an equidigital number, since it uses as much as digits as its factorization.

31105144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 31105144 is about 5577.1985799324. The cubic root of 31105144 is about 314.4928228753.

Adding to 31105144 its reverse (44150113), we get a palindrome (75255257).

The spelling of 31105144 in words is "thirty-one million, one hundred five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 79 89 158 178 316 356 553 623 632 712 1106 1246 2212 2492 4424 4984 6241 7031 12482 14062 24964 28124 43687 49217 49928 56248 87374 98434 174748 196868 349496 393736 555449 1110898 2221796 3888143 4443592 7776286 15552572 31105144