Search a number
-
+
31100130 = 23253171157
BaseRepresentation
bin111011010100…
…0110011100010
32011112001100200
41312220303202
530430201010
63030330030
7525226635
oct166506342
964461320
1031100130
1116611a96
12a4b9916
13659b959
1441b7c1c
152ae4cc0
hex1da8ce2

31100130 has 96 divisors (see below), whose sum is σ = 85183488. Its totient is φ = 7862400.

The previous prime is 31100101. The next prime is 31100149. The reversal of 31100130 is 3100113.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198012 + ... + 198168.

It is an arithmetic number, because the mean of its divisors is an integer number (887328).

Almost surely, 231100130 is an apocalyptic number.

31100130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42591744).

31100130 is an abundant number, since it is smaller than the sum of its proper divisors (54083358).

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

31100130 is a wasteful number, since it uses less digits than its factorization.

31100130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 31100130 is about 5576.7490529878. The cubic root of 31100130 is about 314.4759237224.

Adding to 31100130 its reverse (3100113), we get a palindrome (34200243).

The spelling of 31100130 in words is "thirty-one million, one hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 71 90 93 142 155 157 186 213 279 310 314 355 426 465 471 558 639 710 785 930 942 1065 1278 1395 1413 1570 2130 2201 2355 2790 2826 3195 4402 4710 4867 6390 6603 7065 9734 11005 11147 13206 14130 14601 19809 22010 22294 24335 29202 33015 33441 39618 43803 48670 55735 66030 66882 73005 87606 99045 100323 111470 146010 167205 198090 200646 219015 334410 345557 438030 501615 691114 1003230 1036671 1727785 2073342 3110013 3455570 5183355 6220026 10366710 15550065 31100130