Search a number
-
+
1132131120330 = 23578296503137
BaseRepresentation
bin10000011110011000010…
…001011111010011001010
311000020020011102210121110
4100132120101133103022
5122022101031322310
62224032134551150
7144536156513130
oct20363021372312
94006204383543
101132131120330
113a71525592a1
121634b85084b6
13829b4836102
143cb1c97d750
151e6b173cd20
hex1079845f4ca

1132131120330 has 64 divisors (see below), whose sum is σ = 3109020215040. Its totient is φ = 258460637184.

The previous prime is 1132131120299. The next prime is 1132131120361. The reversal of 1132131120330 is 330211312311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1132131120299) and next prime (1132131120361).

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 = 1132131120297 and 1132131120306.

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 31 ways as a sum of consecutive naturals, for example, 3077479 + ... + 3425658.

It is an arithmetic number, because the mean of its divisors is an integer number (48578440860).

Almost surely, 21132131120330 is an apocalyptic number.

1132131120330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1132131120330 is an abundant number, since it is smaller than the sum of its proper divisors (1976889094710).

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

1132131120330 is a wasteful number, since it uses less digits than its factorization.

1132131120330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6503983.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1132131120330 its reverse (330211312311), we get a palindrome (1462342432641).

The spelling of 1132131120330 in words is "one trillion, one hundred thirty-two billion, one hundred thirty-one million, one hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 829 1658 2487 4145 4974 5803 8290 11606 12435 17409 24870 29015 34818 58030 87045 174090 6503137 13006274 19509411 32515685 39018822 45521959 65031370 91043918 97547055 136565877 195094110 227609795 273131754 455219590 682829385 1365658770 5391100573 10782201146 16173301719 26955502865 32346603438 37737704011 53911005730 75475408022 80866508595 113213112033 161733017190 188688520055 226426224066 377377040110 566065560165 1132131120330