Search a number
-
+
12321000022100 = 22527111613992021
BaseRepresentation
bin1011001101001011010011…
…0101000110000001010100
31121121212122200020210012212
42303102310311012001110
53103331402001201400
642112104514332552
72411106603124160
oct263226465060124
947555580223185
1012321000022100
113a20341339570
12146ba85b8a158
136b4b33140373
143084a7b5bca0
1516576e033335
hexb34b4d46054

12321000022100 has 144 divisors (see below), whose sum is σ = 33354604918656. Its totient is φ = 3837926976000.

The previous prime is 12321000022063. The next prime is 12321000022139. The reversal of 12321000022100 is 122000012321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11924090 + ... + 12916110.

It is an arithmetic number, because the mean of its divisors is an integer number (231629200824).

Almost surely, 212321000022100 is an apocalyptic number.

12321000022100 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 12321000022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16677302459328).

12321000022100 is an abundant number, since it is smaller than the sum of its proper divisors (21033604896556).

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

12321000022100 is a wasteful number, since it uses less digits than its factorization.

12321000022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993666 (or 993659 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12321000022100 its reverse (122000012321), we get a palindrome (12443000034421).

The spelling of 12321000022100 in words is "twelve trillion, three hundred twenty-one billion, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1613 1925 3226 3850 6452 7700 8065 11291 16130 17743 22582 32260 35486 40325 45164 56455 70972 80650 88715 112910 124201 161300 177430 225820 248402 282275 354860 443575 496804 564550 621005 887150 992021 1129100 1242010 1774300 1984042 2484020 3105025 3968084 4960105 6210050 6944147 9920210 10912231 12420100 13888294 19840420 21824462 24800525 27776588 34720735 43648924 49601050 54561155 69441470 76385617 99202100 109122310 138882940 152771234 173603675 218244620 272805775 305542468 347207350 381928085 545611550 694414700 763856170 1091223100 1527712340 1600129873 1909640425 3200259746 3819280850 6400519492 7638561700 8000649365 11200909111 16001298730 17601428603 22401818222 32002597460 35202857206 40003246825 44803636444 56004545555 70405714412 80006493650 88007143015 112009091110 123210000221 160012987300 176014286030 224018182220 246420000442 280022727775 352028572060 440035715075 492840000884 560045455550 616050001105 880071430150 1120090911100 1232100002210 1760142860300 2464200004420 3080250005525 6160500011050 12321000022100