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3131130 = 235295961
BaseRepresentation
bin1011111100011011111010
312220002002210
423330123322
51300144010
6151035550
735420442
oct13743372
95802083
103131130
111849512
12106bbb6
13858252
145b7122
1541cb20
hex2fc6fa

3131130 has 64 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 779520.

The previous prime is 3131123. The next prime is 3131137. The reversal of 3131130 is 311313.

It is an interprime number because it is at equal distance from previous prime (3131123) and next prime (3131137).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3131137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51300 + ... + 51360.

It is an arithmetic number, because the mean of its divisors is an integer number (125550).

Almost surely, 23131130 is an apocalyptic number.

3131130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 1769×1770.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

3131130 is an abundant number, since it is smaller than the sum of its proper divisors (4904070).

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

3131130 is a wasteful number, since it uses less digits than its factorization.

3131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 3131130 is about 1769.4999293586. The cubic root of 3131130 is about 146.2964203583.

Adding to 3131130 its reverse (311313), we get a palindrome (3442443).

The spelling of 3131130 in words is "three million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 59 61 87 118 122 145 174 177 183 290 295 305 354 366 435 590 610 870 885 915 1711 1769 1770 1830 3422 3538 3599 5133 5307 7198 8555 8845 10266 10614 10797 17110 17690 17995 21594 25665 26535 35990 51330 53070 53985 104371 107970 208742 313113 521855 626226 1043710 1565565 3131130