Search a number
-
+
1132135304520 = 233511277970751
BaseRepresentation
bin10000011110011000100…
…001011100110101001000
311000020020110022101020110
4100132120201130311020
5122022103114221040
62224032404354320
7144536240211003
oct20363041346510
94006213271213
101132135304520
113a7154956a00
121634b99a59a0
13829b566c76c
143cb1d34c53a
151e6b1cb7980
hex1079885cd48

1132135304520 has 96 divisors (see below), whose sum is σ = 3733239605760. Its totient is φ = 274457040000.

The previous prime is 1132135304513. The next prime is 1132135304527. The reversal of 1132135304520 is 254035312311.

It is an interprime number because it is at equal distance from previous prime (1132135304513) and next prime (1132135304527).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1132135304527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38970856 + ... + 38999895.

It is an arithmetic number, because the mean of its divisors is an integer number (38887912560).

Almost surely, 21132135304520 is an apocalyptic number.

1132135304520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132135304520 is an abundant number, since it is smaller than the sum of its proper divisors (2601104301240).

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

1132135304520 is a wasteful number, since it uses less digits than its factorization.

1132135304520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77970787 (or 77970772 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 1132135304520 in words is "one trillion, one hundred thirty-two billion, one hundred thirty-five million, three hundred four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 77970751 155941502 233912253 311883004 389853755 467824506 623766008 779707510 857678261 935649012 1169561265 1559415020 1715356522 1871298024 2339122530 2573034783 3118830040 3430713044 4288391305 4678245060 5146069566 6861426088 8576782610 9356490120 9434460871 10292139132 12865173915 17153565220 18868921742 20584278264 25730347830 28303382613 34307130440 37737843484 47172304355 51460695660 56606765226 75475686968 94344608710 102921391320 113213530452 141516913065 188689217420 226427060904 283033826130 377378434840 566067652260 1132135304520