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2243141331300 = 2232527613275137
BaseRepresentation
bin100000101001000101101…
…001000110100101100100
321221102221101011020101200
4200221011221012211210
5243222423140100200
64434252423322500
7321030063502122
oct40510551064544
97842841136350
102243141331300
117953468917a1
1230289b5b0430
131336b16a25cc
147a7d6414912
153d538ae8800
hex20a45a46964

2243141331300 has 108 divisors (see below), whose sum is σ = 7040243195076. Its totient is φ = 597384806400.

The previous prime is 2243141331289. The next prime is 2243141331307. The reversal of 2243141331300 is 31331413422.

It is a happy number.

2243141331300 is a `hidden beast` number, since 2 + 2 + 4 + 314 + 13 + 31 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 928848757824 + 1314292573476 = 963768^2 + 1146426^2 .

It is not an unprimeable number, because it can be changed into a prime (2243141331307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 952669 + ... + 2322468.

Almost surely, 22243141331300 is an apocalyptic number.

2243141331300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243141331300 is an abundant number, since it is smaller than the sum of its proper divisors (4797101863776).

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

2243141331300 is a wasteful number, since it uses less digits than its factorization.

2243141331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275918 (or 3275908 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2243141331300 its reverse (31331413422), we get a palindrome (2274472744722).

The spelling of 2243141331300 in words is "two trillion, two hundred forty-three billion, one hundred forty-one million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 761 900 1522 2283 3044 3805 4566 6849 7610 9132 11415 13698 15220 19025 22830 27396 34245 38050 45660 57075 68490 76100 114150 136980 171225 228300 342450 684900 3275137 6550274 9825411 13100548 16375685 19650822 29476233 32751370 39301644 49127055 58952466 65502740 81878425 98254110 117904932 147381165 163756850 196508220 245635275 294762330 327513700 491270550 589524660 736905825 982541100 1473811650 2492379257 2947623300 4984758514 7477137771 9969517028 12461896285 14954275542 22431413313 24923792570 29908551084 37385688855 44862826626 49847585140 62309481425 74771377710 89725653252 112157066565 124618962850 149542755420 186928444275 224314133130 249237925700 373856888550 448628266260 560785332825 747713777100 1121570665650 2243141331300