Search a number
-
+
5511120132 = 2237157509821
BaseRepresentation
bin1010010000111110…
…10000010100000100
3112020002010220120110
411020133100110010
542241321321012
62310510233020
7253366514430
oct51037202404
915202126513
105511120132
11237897a141
1210997b5770
1369aa0833b
143a3d0d9c0
15223c6973c
hex1487d0504

5511120132 has 96 divisors (see below), whose sum is σ = 14837034240. Its totient is φ = 1559600640.

The previous prime is 5511120103. The next prime is 5511120157. The reversal of 5511120132 is 2310211155.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 5511120099 and 5511120108.

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, 6712282 + ... + 6713102.

It is an arithmetic number, because the mean of its divisors is an integer number (154552440).

Almost surely, 25511120132 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 5511120132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418517120).

5511120132 is an abundant number, since it is smaller than the sum of its proper divisors (9325914108).

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

5511120132 is a wasteful number, since it uses less digits than its factorization.

5511120132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 5511120132 is about 74236.9189285224. The cubic root of 5511120132 is about 1766.3630013414.

Adding to 5511120132 its reverse (2310211155), we get a palindrome (7821331287).

The spelling of 5511120132 in words is "five billion, five hundred eleven million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 157 314 471 509 628 821 942 1018 1099 1527 1642 1884 2036 2198 2463 3054 3284 3297 3563 4396 4926 5747 6108 6594 7126 9852 10689 11494 13188 14252 17241 21378 22988 34482 42756 68964 79913 128897 159826 239739 257794 319652 386691 417889 479478 515588 559391 773382 835778 902279 958956 1118782 1253667 1546764 1671556 1678173 1804558 2237564 2507334 2706837 2925223 3356346 3609116 5014668 5413674 5850446 6712692 8775669 10827348 11700892 17551338 35102676 65608573 131217146 196825719 262434292 393651438 459260011 787302876 918520022 1377780033 1837040044 2755560066 5511120132