Search a number
-
+
1122013033220 = 2251724061137153
BaseRepresentation
bin10000010100111101001…
…100000011001100000100
310222021010000110201102102
4100110331030003030010
5121340340314030340
62215240133131232
7144030346264652
oct20247514031404
93867100421372
101122013033220
113a2930119732
12161553a89b18
1381a61541611
143c43cc7bdd2
151e2bd306215
hex1053d303304

1122013033220 has 48 divisors (see below), whose sum is σ = 2494950858288. Its totient is φ = 422384271360.

The previous prime is 1122013033187. The next prime is 1122013033259. The reversal of 1122013033220 is 223303102211.

It can be written as a sum of positive squares in 8 ways, for example, as 273388853956 + 848624179264 = 522866^2 + 921208^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1122013033192 and 1122013033201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8112164 + ... + 8249316.

It is an arithmetic number, because the mean of its divisors is an integer number (51978142881).

Almost surely, 21122013033220 is an apocalyptic number.

1122013033220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122013033220 is an abundant number, since it is smaller than the sum of its proper divisors (1372937825068).

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

1122013033220 is a wasteful number, since it uses less digits than its factorization.

1122013033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161240 (or 161238 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1122013033220 its reverse (223303102211), we get a palindrome (1345316135431).

The spelling of 1122013033220 in words is "one trillion, one hundred twenty-two billion, thirteen million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 24061 48122 96244 120305 137153 240610 274306 409037 481220 548612 685765 818074 1371530 1636148 2045185 2331601 2743060 4090370 4663202 8180740 9326404 11658005 23316010 46632020 3300038333 6600076666 13200153332 16500191665 33000383330 56100651661 66000766660 112201303322 224402606644 280503258305 561006516610 1122013033220