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2023131141220 = 225719760575617
BaseRepresentation
bin11101011100001100000…
…000110101010001100100
321011102001111011120111011
4131130030000311101210
5231121333033004340
64145225201352004
7266111034650410
oct35341400652144
97142044146434
102023131141220
11710006871622
1228811a638604
13118a1b84b597
146dcc4957d40
153795da940ea
hex1d70c035464

2023131141220 has 48 divisors (see below), whose sum is σ = 5111068152960. Its totient is φ = 657137332224.

The previous prime is 2023131141193. The next prime is 2023131141223. The reversal of 2023131141220 is 221411313202.

It is a super-2 number, since 2×20231311412202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2023131141191 and 2023131141200.

It is not an unprimeable number, because it can be changed into a prime (2023131141223) 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 15 ways as a sum of consecutive naturals, for example, 380285149 + ... + 380290468.

It is an arithmetic number, because the mean of its divisors is an integer number (106480586520).

Almost surely, 22023131141220 is an apocalyptic number.

2023131141220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023131141220 is an abundant number, since it is smaller than the sum of its proper divisors (3087937011740).

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

2023131141220 is a wasteful number, since it uses less digits than its factorization.

2023131141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760575652 (or 760575650 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2023131141220 its reverse (221411313202), we get a palindrome (2244542454422).

The spelling of 2023131141220 in words is "two trillion, twenty-three billion, one hundred thirty-one million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 760575617 1521151234 3042302468 3802878085 5324029319 7605756170 10648058638 14450936723 15211512340 21296117276 26620146595 28901873446 53240293190 57803746892 72254683615 101156557061 106480586380 144509367230 202313114122 289018734460 404626228244 505782785305 1011565570610 2023131141220