Search a number
-
+
1120202312220 = 2232517366079187
BaseRepresentation
bin10000010011010001010…
…000101100101000011100
310222002102211021120011200
4100103101100230220130
5121323133242442340
62214340331115500
7143634441355665
oct20232120545034
93862384246150
101120202312220
113a20910021a2
121611295a2b90
1381833369784
143c30a5b436c
151e214381330
hex104d142ca1c

1120202312220 has 72 divisors (see below), whose sum is σ = 3597826259664. Its totient is φ = 281148814848.

The previous prime is 1120202312077. The next prime is 1120202312221. The reversal of 1120202312220 is 222132020211.

1120202312220 is a `hidden beast` number, since 11 + 202 + 0 + 231 + 2 + 220 = 666.

It is a super-2 number, since 2×11202023122202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1120202312193 and 1120202312202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120202312221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183036534 + ... + 183042653.

It is an arithmetic number, because the mean of its divisors is an integer number (49969809162).

Almost surely, 21120202312220 is an apocalyptic number.

1120202312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120202312220 is an abundant number, since it is smaller than the sum of its proper divisors (2477623947444).

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

1120202312220 is a wasteful number, since it uses less digits than its factorization.

1120202312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366079219 (or 366079214 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1120202312220 its reverse (222132020211), we get a palindrome (1342334332431).

The spelling of 1120202312220 in words is "one trillion, one hundred twenty billion, two hundred two million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 366079187 732158374 1098237561 1464316748 1830395935 2196475122 3294712683 3660791870 4392950244 5491187805 6223346179 6589425366 7321583740 10982375610 12446692358 13178850732 16473563415 18670038537 21964751220 24893384716 31116730895 32947126830 37340077074 56010115611 62233461790 65894253660 74680154148 93350192685 112020231222 124466923580 186700385370 224040462444 280050578055 373400770740 560101156110 1120202312220