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2024133423130 = 257213893570341
BaseRepresentation
bin11101011101000111110…
…000001111000000011010
321011111122100010202210101
4131131013300033000122
5231130411124020010
64145512444010014
7266144625134200
oct35350760170032
97144570122711
102024133423130
11710480603885
1228835a23090a
13118b4b3a72c0
146dd7badb070
15379bba7673a
hex1d747c0f01a

2024133423130 has 96 divisors (see below), whose sum is σ = 4615595323920. Its totient is φ = 633406878720.

The previous prime is 2024133423097. The next prime is 2024133423173. The reversal of 2024133423130 is 313243314202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 649163769849 + 1374969653281 = 805707^2 + 1172591^2 .

It is a super-2 number, since 2×20241334231302 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1218241 + ... + 2352100.

Almost surely, 22024133423130 is an apocalyptic number.

2024133423130 is an abundant number, since it is smaller than the sum of its proper divisors (2591461900790).

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

2024133423130 is a wasteful number, since it uses less digits than its factorization.

2024133423130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570464 (or 3570457 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 2024133423130 its reverse (313243314202), we get a palindrome (2337376737332).

The spelling of 2024133423130 in words is "two trillion, twenty-four billion, one hundred thirty-three million, four hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 89 91 98 130 178 182 245 445 455 490 623 637 890 910 1157 1246 1274 2314 3115 3185 4361 5785 6230 6370 8099 8722 11570 16198 21805 40495 43610 56693 80990 113386 283465 566930 3570341 7140682 17851705 24992387 35703410 46414433 49984774 92828866 124961935 174946709 232072165 249923870 317760349 324901031 349893418 464144330 635520698 649802062 874733545 1588801745 1624505155 1749467090 2224322443 2274307217 3177603490 3249010310 4130884537 4448644886 4548614434 8261769074 11121612215 11371536085 15570257101 20654422685 22243224430 22743072170 28916191759 31140514202 41308845370 57832383518 77851285505 144580958795 155702571010 202413342313 289161917590 404826684626 1012066711565 2024133423130