Search a number
-
+
22000103310 = 2357131332999
BaseRepresentation
bin10100011111010011…
…101110111110001110
32002210020002001012010
4110133103232332032
5330024011301220
614035014322050
71406116535613
oct243723567616
962706061163
1022000103310
11936a537269
12431b959326
1320c7b8a013
1410c9baa50a
1588b64e1e0
hex51f4eef8e

22000103310 has 64 divisors (see below), whose sum is σ = 53716608000. Its totient is φ = 5765410560.

The previous prime is 22000103299. The next prime is 22000103311. The reversal of 22000103310 is 1330100022.

It is a happy number.

It is a super-2 number, since 2×220001033102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000103311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650191 + ... + 683189.

It is an arithmetic number, because the mean of its divisors is an integer number (839322000).

Almost surely, 222000103310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000103310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26858304000).

22000103310 is an abundant number, since it is smaller than the sum of its proper divisors (31716504690).

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

22000103310 is a wasteful number, since it uses less digits than its factorization.

22000103310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33393.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 22000103310 its reverse (1330100022), we get a palindrome (23330203332).

The spelling of 22000103310 in words is "twenty-two billion, one hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 313 355 426 626 710 939 1065 1565 1878 2130 3130 4695 9390 22223 32999 44446 65998 66669 98997 111115 133338 164995 197994 222230 329990 333345 494985 666690 989970 2342929 4685858 7028787 10328687 11714645 14057574 20657374 23429290 30986061 35143935 51643435 61972122 70287870 103286870 154930305 309860610 733336777 1466673554 2200010331 3666683885 4400020662 7333367770 11000051655 22000103310