Search a number
-
+
3131002420 = 2257132374797
BaseRepresentation
bin1011101010011111…
…0100111000110100
322002012112101212121
42322213310320310
522403014034140
61234404125324
7140406036640
oct27247647064
98065471777
103131002420
111367407507
12734696844
133ab891370
14219b87c20
15134d1e64a
hexba9f4e34

3131002420 has 96 divisors (see below), whose sum is σ = 8444395008. Its totient is φ = 947814912.

The previous prime is 3131002379. The next prime is 3131002447. The reversal of 3131002420 is 242001313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3131002394 and 3131002403.

It is a congruent number.

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, 4462 + ... + 79258.

It is an arithmetic number, because the mean of its divisors is an integer number (87962448).

Almost surely, 23131002420 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 3131002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222197504).

3131002420 is an abundant number, since it is smaller than the sum of its proper divisors (5313392588).

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

3131002420 is a wasteful number, since it uses less digits than its factorization.

3131002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74849 (or 74847 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3131002420 is about 55955.3609585355. The cubic root of 3131002420 is about 1462.9443334926.

Adding to 3131002420 its reverse (242001313), we get a palindrome (3373003733).

The spelling of 3131002420 in words is "three billion, one hundred thirty-one million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 23 26 28 35 46 52 65 70 91 92 115 130 140 161 182 230 260 299 322 364 455 460 598 644 805 910 1196 1495 1610 1820 2093 2990 3220 4186 5980 8372 10465 20930 41860 74797 149594 299188 373985 523579 747970 972361 1047158 1495940 1720331 1944722 2094316 2617895 3440662 3889444 4861805 5235790 6806527 6881324 8601655 9723610 10471580 12042317 13613054 17203310 19447220 22364303 24084634 27226108 34032635 34406620 44728606 48169268 60211585 68065270 89457212 111821515 120423170 136130540 156550121 223643030 240846340 313100242 447286060 626200484 782750605 1565501210 3131002420