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11332121131330 = 2537233867715149
BaseRepresentation
bin1010010011100111011100…
…0011011111100101000010
31111010100012000011020121021
42210321313003133211002
52441131141002200310
640033523220020054
72246501345212126
oct244716703374502
944110160136537
1011332121131330
113679a1aa5063a
1213302a853162a
136427cabc3c3c
142b269870d586
15149b93cd05da
hexa4e770df942

11332121131330 has 64 divisors (see below), whose sum is σ = 21042834415200. Its totient is φ = 4390614595584.

The previous prime is 11332121131301. The next prime is 11332121131349. The reversal of 11332121131330 is 3313112123311.

It can be written as a sum of positive squares in 16 ways, for example, as 1488861195721 + 9843259935609 = 1220189^2 + 3137397^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11332121131295 and 11332121131304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 748036596 + ... + 748051744.

Almost surely, 211332121131330 is an apocalyptic number.

11332121131330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11332121131330 is a deficient number, since it is larger than the sum of its proper divisors (9710713283870).

11332121131330 is a wasteful number, since it uses less digits than its factorization.

11332121131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24103.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 11332121131330 its reverse (3313112123311), we get a palindrome (14645233254641).

The spelling of 11332121131330 in words is "eleven trillion, three hundred thirty-two billion, one hundred twenty-one million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 5 10 37 74 185 233 370 466 1165 2330 8621 8677 15149 17242 17354 30298 43105 43385 75745 86210 86770 151490 321049 560513 642098 1121026 1605245 2021741 2802565 3210490 3529717 4043482 5605130 7059434 10108705 17648585 20217410 35297170 74804417 130599529 131447873 149608834 261199058 262895746 374022085 652997645 657239365 748044170 1305995290 1314478730 4863571301 9727142602 24317856505 30627354409 48635713010 61254708818 153136772045 306273544090 1133212113133 2266424226266 5666060565665 11332121131330