Search a number
-
+
1111211220300 = 2235217401543353
BaseRepresentation
bin10000001010111001010…
…110011001110101001100
310221020020012221202202020
4100022321112121311030
5121201230033022200
62210252224530140
7143165564346006
oct20127126316514
93836205852666
101111211220300
11399297845815
1215b43a480950
1380a2c6b803c
143bad643b376
151dd89d63ea0
hex102b9599d4c

1111211220300 has 144 divisors (see below), whose sum is σ = 3412723884192. Its totient is φ = 278196224000.

The previous prime is 1111211220293. The next prime is 1111211220313. The reversal of 1111211220300 is 30221121111.

It is a super-2 number, since 2×11112112203002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1111211220300.

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, 1773424 + ... + 2316776.

It is an arithmetic number, because the mean of its divisors is an integer number (23699471418).

Almost surely, 21111211220300 is an apocalyptic number.

1111211220300 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 1111211220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706361942096).

1111211220300 is an abundant number, since it is smaller than the sum of its proper divisors (2301512663892).

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

1111211220300 is a wasteful number, since it uses less digits than its factorization.

1111211220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543788 (or 543781 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1111211220300 its reverse (30221121111), we get a palindrome (1141432341411).

The spelling of 1111211220300 in words is "one trillion, one hundred eleven billion, two hundred eleven million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 401 425 510 802 850 1020 1203 1275 1604 1700 2005 2406 2550 4010 4812 5100 6015 6817 8020 10025 12030 13634 20050 20451 24060 27268 30075 34085 40100 40902 60150 68170 81804 102255 120300 136340 170425 204510 340850 409020 511275 543353 681700 1022550 1086706 1630059 2045100 2173412 2716765 3260118 5433530 6520236 8150295 9237001 10867060 13583825 16300590 18474002 27167650 27711003 32601180 36948004 40751475 46185005 54335300 55422006 81502950 92370010 110844012 138555015 163005900 184740020 217884553 230925025 277110030 435769106 461850050 554220060 653653659 692775075 871538212 923700100 1089422765 1307307318 1385550150 2178845530 2614614636 2771100300 3268268295 3704037401 4357691060 5447113825 6536536590 7408074802 10894227650 11112112203 13073073180 14816149604 16341341475 18520187005 21788455300 22224224406 32682682950 37040374010 44448448812 55560561015 65365365900 74080748020 92600935025 111121122030 185201870050 222242244060 277802805075 370403740100 555605610150 1111211220300