Search a number
-
+
1045511213130 = 232515773992301
BaseRepresentation
bin11110011011011010101…
…00110001000001001010
310200221122110210121010100
433031231110301001022
5114112201332310010
62120145021430230
7135351512452416
oct17155524610112
93627573717110
101045511213130
11373442906a2a
1214a76370b376
137778c089857
1438862949d46
151c2e1ed52c0
hexf36d53104a

1045511213130 has 48 divisors (see below), whose sum is σ = 2735643389544. Its totient is φ = 277027171200.

The previous prime is 1045511213093. The next prime is 1045511213167. The reversal of 1045511213130 is 313121155401.

1045511213130 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 511 + 2 + 13 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (1045511213093) and next prime (1045511213167).

It can be written as a sum of positive squares in 4 ways, for example, as 827421279129 + 218089934001 = 909627^2 + 467001^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1045511213094 and 1045511213103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36982021 + ... + 37010280.

Almost surely, 21045511213130 is an apocalyptic number.

1045511213130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1045511213130 is an abundant number, since it is smaller than the sum of its proper divisors (1690132176414).

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

1045511213130 is a wasteful number, since it uses less digits than its factorization.

1045511213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73992471 (or 73992468 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 1045511213130 its reverse (313121155401), we get a palindrome (1358632368531).

The spelling of 1045511213130 in words is "one trillion, forty-five billion, five hundred eleven million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2826 4710 7065 14130 73992301 147984602 221976903 369961505 443953806 665930709 739923010 1109884515 1331861418 2219769030 3329653545 6659307090 11616791257 23233582514 34850373771 58083956285 69700747542 104551121313 116167912570 174251868855 209102242626 348503737710 522755606565 1045511213130