Search a number
-
+
2311121032 = 2311172695743
BaseRepresentation
bin1000100111000000…
…1110100010001000
312222001210010001021
42021300032202020
514213121333112
61021155202224
7111162130123
oct21160164210
95861703037
102311121032
11a86627490
12545ba6374
132aaa6a04c
1417cd253ba
15d7d6b907
hex89c0e888

2311121032 has 64 divisors (see below), whose sum is σ = 5024851200. Its totient is φ = 984867840.

The previous prime is 2311121027. The next prime is 2311121039. The reversal of 2311121032 is 2301211132.

It is a junction number, because it is equal to n+sod(n) for n = 2311120997 and 2311121015.

It is not an unprimeable number, because it can be changed into a prime (2311121039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399553 + ... + 405295.

It is an arithmetic number, because the mean of its divisors is an integer number (78513300).

Almost surely, 22311121032 is an apocalyptic number.

2311121032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2311121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512425600).

2311121032 is an abundant number, since it is smaller than the sum of its proper divisors (2713730168).

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

2311121032 is a wasteful number, since it uses less digits than its factorization.

2311121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6046 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2311121032 is about 48074.1201895573. The cubic root of 2311121032 is about 1322.1302136145.

Adding to 2311121032 its reverse (2301211132), we get a palindrome (4612332164).

The spelling of 2311121032 in words is "two billion, three hundred eleven million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 269 374 538 748 1076 1496 2152 2959 4573 5743 5918 9146 11486 11836 18292 22972 23672 36584 45944 50303 63173 97631 100606 126346 195262 201212 252692 390524 402424 505384 781048 1073941 1544867 2147882 3089734 4295764 6179468 8591528 12358936 16993537 26262739 33987074 52525478 67974148 105050956 135948296 210101912 288890129 577780258 1155560516 2311121032