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131020224442340 = 22517794948478249
BaseRepresentation
bin11101110010100110000101…
…111011111010111111100100
3122011220102002201021211111212
4131302212011323322333210
5114133113404424123330
61142353505444250552
736411620205322322
oct3562460573727744
9564812081254455
10131020224442340
1138824402009a82
12128407200a0a58
13581520089006c
14244d5ac632d12
15102320b612295
hex772985efafe4

131020224442340 has 48 divisors (see below), whose sum is σ = 291363978150000. Its totient is φ = 49319054733312.

The previous prime is 131020224442333. The next prime is 131020224442351. The reversal of 131020224442340 is 43244422020131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21640880704576 + 109379343737764 = 4651976^2 + 10458458^2 .

It is a super-2 number, since 2×1310202244423402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131020224442297 and 131020224442306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21536465 + ... + 26941784.

It is an arithmetic number, because the mean of its divisors is an integer number (6070082878125).

Almost surely, 2131020224442340 is an apocalyptic number.

131020224442340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020224442340 is an abundant number, since it is smaller than the sum of its proper divisors (160343753707660).

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

131020224442340 is a wasteful number, since it uses less digits than its factorization.

131020224442340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48486224 (or 48486222 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 131020224442340 its reverse (43244422020131), we get a palindrome (174264646462471).

The spelling of 131020224442340 in words is "one hundred thirty-one trillion, twenty billion, two hundred twenty-four million, four hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 7949 15898 31796 39745 79490 135133 158980 270266 540532 675665 1351330 2702660 48478249 96956498 193912996 242391245 484782490 824130233 969564980 1648260466 3296520932 4120651165 8241302330 16482604660 385353601301 770707202602 1541414405204 1926768006505 3853536013010 6551011222117 7707072026020 13102022444234 26204044888468 32755056110585 65510112221170 131020224442340