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130300024112244 = 22337297253835831
BaseRepresentation
bin11101101000000111010110…
…101001101100010001110100
3122002100120010201022100022000
4131220013112221230101310
5114034313422133042434
61141043001003535300
736305603031451200
oct3550072651542164
9562316121270260
10130300024112244
1138576a257733a8
121274502652a530
1357923163a6b9c
1424267aa5b9b00
15100e608e1bb99
hex7681d6a6c474

130300024112244 has 144 divisors (see below), whose sum is σ = 397019548114560. Its totient is φ = 36844778396160.

The previous prime is 130300024112243. The next prime is 130300024112299. The reversal of 130300024112244 is 442211420003031.

130300024112244 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 0 + 0 + 0 + 2 + 411 + 2 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130300024112243) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 126404592 + ... + 127431239.

It is an arithmetic number, because the mean of its divisors is an integer number (2757080195240).

Almost surely, 2130300024112244 is an apocalyptic number.

130300024112244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130300024112244 is an abundant number, since it is smaller than the sum of its proper divisors (266719524002316).

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

130300024112244 is a wasteful number, since it uses less digits than its factorization.

130300024112244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253835955 (or 253835940 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 130300024112244 its reverse (442211420003031), we get a palindrome (572511444115275).

The spelling of 130300024112244 in words is "one hundred thirty trillion, three hundred billion, twenty-four million, one hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 97 98 108 126 147 189 194 196 252 291 294 378 388 441 582 588 679 756 873 882 1164 1323 1358 1746 1764 2037 2619 2646 2716 3492 4074 4753 5238 5292 6111 8148 9506 10476 12222 14259 18333 19012 24444 28518 36666 42777 57036 73332 85554 128331 171108 256662 513324 253835831 507671662 761507493 1015343324 1523014986 1776850817 2284522479 3046029972 3553701634 4569044958 5330552451 6853567437 7107403268 9138089916 10661104902 12437955719 13707134874 15991657353 21322209804 24622075607 24875911438 27414269748 31983314706 37313867157 47974972059 49244151214 49751822876 63966629412 73866226821 74627734314 95949944118 98488302428 111941601471 147732453642 149255468628 172354529249 191899888236 221598680463 223883202942 295464907284 335824804413 344709058498 443197360926 447766405884 517063587747 664796041389 671649608826 689418116996 886394721852 1034127175494 1206481704743 1329592082778 1343299217652 1551190763241 2068254350988 2412963409486 2659184165556 3102381526482 3619445114229 4653572289723 4825926818972 6204763052964 7238890228458 9307144579446 10858335342687 14477780456916 18614289158892 21716670685374 32575006028061 43433341370748 65150012056122 130300024112244