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3131144330 = 251922343877
BaseRepresentation
bin1011101010100001…
…0111100010001010
322002012210121112112
42322220113202022
522403033104310
61234411142322
7140410200446
oct27250274212
98065717475
103131144330
1113674a4096
127347449a2
133ab910b32
14219bc3826
15134d4b705
hexbaa1788a

3131144330 has 96 divisors (see below), whose sum is σ = 6358518144. Its totient is φ = 1107292032.

The previous prime is 3131144327. The next prime is 3131144339. The reversal of 3131144330 is 334411313.

It is a super-2 number, since 2×31311443302 = 19608129630582297800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 3131144296 and 3131144305.

It is not an unprimeable number, because it can be changed into a prime (3131144339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3569852 + ... + 3570728.

It is an arithmetic number, because the mean of its divisors is an integer number (66234564).

Almost surely, 23131144330 is an apocalyptic number.

3131144330 is an abundant number, since it is smaller than the sum of its proper divisors (3227373814).

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

3131144330 is a wasteful number, since it uses less digits than its factorization.

3131144330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 3131144330 is about 55956.6290085455. The cubic root of 3131144330 is about 1462.9664353912.

Adding to 3131144330 its reverse (334411313), we get a palindrome (3465555643).

The spelling of 3131144330 in words is "three billion, one hundred thirty-one million, one hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 5 10 19 23 38 43 46 86 95 115 190 215 230 361 430 437 722 817 874 877 989 1634 1754 1805 1978 2185 3610 4085 4370 4385 4945 8170 8303 8770 9890 15523 16606 16663 18791 20171 31046 33326 37582 37711 40342 41515 75422 77615 83030 83315 93955 100855 155230 166630 187910 188555 201710 316597 357029 377110 383249 633194 714058 716509 766498 867353 1433018 1582985 1734706 1785145 1916245 3165970 3570290 3582545 3832490 4336765 7165090 7281731 8673530 13613671 14563462 16479707 27227342 32959414 36408655 68068355 72817310 82398535 136136710 164797070 313114433 626228866 1565572165 3131144330