Search a number
-
+
300202111023232 = 27114911811239779
BaseRepresentation
bin100010001000010000100000…
…0001100000011100010000000
31110100221001010021111100211011
41010100201000030003202000
5303322002410410220412
62542250540152530304
7120142613111021545
oct10420410014034200
91410831107440734
10300202111023232
1187721000468720
122980521b6b0994
13cb67c25ba1362
14541bc07032bcc
1524a8e2c2c67a7
hex1110840303880

300202111023232 has 128 divisors (see below), whose sum is σ = 654120377107200. Its totient is φ = 136101829248000.

The previous prime is 300202111023223. The next prime is 300202111023263. The reversal of 300202111023232 is 232320111202003.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251875119 + ... + 1252114897.

It is an arithmetic number, because the mean of its divisors is an integer number (5110315446150).

Almost surely, 2300202111023232 is an apocalyptic number.

300202111023232 is a gapful number since it is divisible by the number (32) 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 300202111023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327060188553600).

300202111023232 is an abundant number, since it is smaller than the sum of its proper divisors (353918266083968).

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

300202111023232 is a wasteful number, since it uses less digits than its factorization.

300202111023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242106 (or 242094 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 300202111023232 its reverse (232320111202003), we get a palindrome (532522222225235).

The spelling of 300202111023232 in words is "three hundred trillion, two hundred two billion, one hundred eleven million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 491 704 982 1408 1811 1964 3622 3928 5401 7244 7856 10802 14488 15712 19921 21604 28976 31424 39842 43208 57952 62848 79684 86416 115904 159368 172832 231808 239779 318736 345664 479558 637472 691328 889201 959116 1274944 1778402 1918232 2549888 2637569 3556804 3836464 5275138 7113608 7672928 9781211 10550276 14227216 15345856 19562422 21100552 28454432 30691712 39124844 42201104 56908864 78249688 84402208 113817728 117731489 156499376 168804416 235462978 312998752 337608832 434239769 470925956 625997504 868479538 941851912 1251995008 1295046379 1736959076 1883703824 2590092758 3473918152 3767407648 4776637459 5180185516 6947836304 7534815296 9553274918 10360371032 13895672608 15069630592 19106549836 20720742064 27791345216 38213099672 41441484128 55582690432 76426199344 82882968256 152852398688 165765936512 213211726579 305704797376 426423453158 611409594752 852846906316 1705693812632 2345328992369 3411387625264 4690657984738 6822775250528 9381315969476 13645550501056 18762631938952 27291101002112 37525263877904 75050527755808 150101055511616 300202111023232