Search a number
-
+
1114041140300 = 22521110111039091
BaseRepresentation
bin10000001101100010000…
…001101100010001001100
310221111112102221121012002
4100031202001230101030
5121223024012442200
62211441115531432
7143325656310434
oct20154201542114
93844472847162
101114041140300
1139a50a1a9580
1215baaa159b78
1381090a8ca0a
143bcc420d2c4
151dea350dbd5
hex1036206c44c

1114041140300 has 144 divisors (see below), whose sum is σ = 2666058361344. Its totient is φ = 400687200000.

The previous prime is 1114041140299. The next prime is 1114041140323. The reversal of 1114041140300 is 30411404111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122538755 + ... + 122547845.

It is an arithmetic number, because the mean of its divisors is an integer number (18514294176).

Almost surely, 21114041140300 is an apocalyptic number.

1114041140300 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 1114041140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333029180672).

1114041140300 is an abundant number, since it is smaller than the sum of its proper divisors (1552017221044).

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

1114041140300 is a wasteful number, since it uses less digits than its factorization.

1114041140300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10320 (or 10313 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1114041140300 its reverse (30411404111), we get a palindrome (1144452544411).

The spelling of 1114041140300 in words is "one trillion, one hundred fourteen billion, forty-one million, one hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1103 1111 2020 2206 2222 2525 4412 4444 5050 5515 5555 9091 10100 11030 11110 12133 18182 22060 22220 24266 27575 27775 36364 45455 48532 55150 55550 60665 90910 100001 110300 111100 111403 121330 181820 200002 222806 227275 242660 303325 400004 445612 454550 500005 557015 606650 909100 918191 1000010 1114030 1213300 1225433 1836382 2000020 2228060 2450866 2500025 2785075 3672764 4590955 4901732 5000050 5570150 6127165 9181910 10000100 10027373 10100101 11140300 12254330 18363820 20054746 20200202 22954775 24508660 30635825 40109492 40400404 45909550 50136865 50500505 61271650 91819100 100273730 101001010 110301103 122543300 200547460 202002020 220602206 250684325 252502525 441204412 501368650 505005050 551505515 1002737300 1010010100 1012764673 1103011030 2025529346 2206022060 2757527575 4051058692 5063823365 5515055150 10127646730 11030110300 11140411403 20255293460 22280822806 25319116825 44561645612 50638233650 55702057015 101276467300 111404114030 222808228060 278510285075 557020570150 1114041140300