Search a number
-
+
1131112220100 = 223529091414737
BaseRepresentation
bin10000011101011011100…
…010101100010111000100
311000010121011012022020220
4100131123202230113010
5122013004212020400
62223343100224340
7144502005143412
oct20353342542704
94003534168226
101131112220100
113a677a3a6495
1216327323b0b0
138288170c275
143ca635122b2
151e6520767a0
hex1075b8ac5c4

1131112220100 has 72 divisors (see below), whose sum is σ = 3273052573728. Its totient is φ = 301596019200.

The previous prime is 1131112220087. The next prime is 1131112220113. The reversal of 1131112220100 is 10222111311.

It is an interprime number because it is at equal distance from previous prime (1131112220087) and next prime (1131112220113).

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 1131112220100.

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 23 ways as a sum of consecutive naturals, for example, 2519932 + ... + 2934668.

It is an arithmetic number, because the mean of its divisors is an integer number (45459063524).

Almost surely, 21131112220100 is an apocalyptic number.

1131112220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131112220100 is an abundant number, since it is smaller than the sum of its proper divisors (2141940353628).

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

1131112220100 is a wasteful number, since it uses less digits than its factorization.

1131112220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423845 (or 423838 counting only the distinct ones).

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

Adding to 1131112220100 its reverse (10222111311), we get a palindrome (1141334331411).

The spelling of 1131112220100 in words is "one trillion, one hundred thirty-one billion, one hundred twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 9091 18182 27273 36364 45455 54546 90910 109092 136365 181820 227275 272730 414737 454550 545460 681825 829474 909100 1244211 1363650 1658948 2073685 2488422 2727300 4147370 4976844 6221055 8294740 10368425 12442110 20736850 24884220 31105275 41473700 62210550 124421100 3770374067 7540748134 11311122201 15081496268 18851870335 22622244402 37703740670 45244488804 56555611005 75407481340 94259351675 113111222010 188518703350 226222444020 282778055025 377037406700 565556110050 1131112220100