Search a number
-
+
130313020122 = 232291012471701
BaseRepresentation
bin111100101011101000…
…0101110001011011010
3110110100201221022111200
41321113100232023122
54113340113120442
6135510500135030
712262164252315
oct1712720561332
9413321838450
10130313020122
11502a133684a
1221309697476
13c3999b0a3c
146442cab97c
1535ca59534c
hex1e5742e2da

130313020122 has 48 divisors (see below), whose sum is σ = 294972916680. Its totient is φ = 41524560000.

The previous prime is 130313020099. The next prime is 130313020147. The reversal of 130313020122 is 221020313031.

130313020122 is a `hidden beast` number, since 130 + 313 + 0 + 201 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 129183455241 + 1129564881 = 359421^2 + 33609^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130313020095 and 130313020104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1183129 + ... + 1288572.

Almost surely, 2130313020122 is an apocalyptic number.

130313020122 is an abundant number, since it is smaller than the sum of its proper divisors (164659896558).

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

130313020122 is a wasteful number, since it uses less digits than its factorization.

130313020122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471839 (or 2471836 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130313020122 its reverse (221020313031), we get a palindrome (351333333153).

The spelling of 130313020122 in words is "one hundred thirty billion, three hundred thirteen million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 101 174 202 261 303 522 606 909 1818 2929 5858 8787 17574 26361 52722 2471701 4943402 7415103 14830206 22245309 44490618 71679329 143358658 215037987 249641801 430075974 499283602 645113961 748925403 1290227922 1497850806 2246776209 4493552418 7239612229 14479224458 21718836687 43437673374 65156510061 130313020122