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1224300013300 = 22527131093123091
BaseRepresentation
bin10001110100001101111…
…101111010011011110100
311100001010120110200120001
4101310031331322123310
5130024331300411200
62334234034121044
7154311203256610
oct21641575723364
94301116420501
101224300013300
1143224a492811
1217933b720184
138b5b2ab7bc0
144338393c340
1521ca81de76a
hex11d0df7a6f4

1224300013300 has 144 divisors (see below), whose sum is σ = 3272840996992. Its totient is φ = 387113126400.

The previous prime is 1224300013247. The next prime is 1224300013301. The reversal of 1224300013300 is 33100034221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224300013301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9884755 + ... + 10007845.

Almost surely, 21224300013300 is an apocalyptic number.

1224300013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224300013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636420498496).

1224300013300 is an abundant number, since it is smaller than the sum of its proper divisors (2048540983692).

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

1224300013300 is a wasteful number, since it uses less digits than its factorization.

1224300013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124218 (or 124211 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1224300013300 its reverse (33100034221), we get a palindrome (1257400047521).

The spelling of 1224300013300 in words is "one trillion, two hundred twenty-four billion, three hundred million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1093 1300 1820 2186 2275 4372 4550 5465 7651 9100 10930 14209 15302 21860 27325 28418 30604 38255 54650 56836 71045 76510 99463 109300 123091 142090 153020 191275 198926 246182 284180 355225 382550 397852 492364 497315 615455 710450 765100 861637 994630 1230910 1420900 1600183 1723274 1989260 2461820 2486575 3077275 3200366 3446548 4308185 4973150 6154550 6400732 8000915 8616370 9946300 11201281 12309100 16001830 17232740 21540925 22402562 32003660 40004575 43081850 44805124 56006405 80009150 86163700 112012810 134538463 160018300 224025620 269076926 280032025 538153852 560064050 672692315 941769241 1120128100 1345384630 1749000019 1883538482 2690769260 3363461575 3498000038 3767076964 4708846205 6726923150 6996000076 8745000095 9417692410 12243000133 13453846300 17490000190 18835384820 23544231025 24486000266 34980000380 43725000475 47088462050 48972000532 61215000665 87450000950 94176924100 122430001330 174900001900 244860002660 306075003325 612150006650 1224300013300