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103022213220 = 223251613354833
BaseRepresentation
bin101111111110010011…
…0100011100001100100
3100211220210110200101200
41133330212203201210
53141442141310340
6115154443322500
710304662235523
oct1377446434144
9324823420350
10103022213220
113a767398683
1217b71b20430
13993a9a08a4
144db45aa4ba
152a2e71a330
hex17fc9a3864

103022213220 has 72 divisors (see below), whose sum is σ = 312695333496. Its totient is φ = 27455480832.

The previous prime is 103022213197. The next prime is 103022213221. The reversal of 103022213220 is 22312220301.

It can be written as a sum of positive squares in 4 ways, for example, as 26009303076 + 77012910144 = 161274^2 + 277512^2 .

It is a super-3 number, since 3×1030222132203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 103022213193 and 103022213202.

It is not an unprimeable number, because it can be changed into a prime (103022213221) 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, 112924 + ... + 467756.

It is an arithmetic number, because the mean of its divisors is an integer number (4342990743).

Almost surely, 2103022213220 is an apocalyptic number.

103022213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103022213220 is an abundant number, since it is smaller than the sum of its proper divisors (209673120276).

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

103022213220 is a wasteful number, since it uses less digits than its factorization.

103022213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356461 (or 356456 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103022213220 its reverse (22312220301), we get a palindrome (125334433521).

The spelling of 103022213220 in words is "one hundred three billion, twenty-two million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1613 3226 4839 6452 8065 9678 14517 16130 19356 24195 29034 32260 48390 58068 72585 96780 145170 290340 354833 709666 1064499 1419332 1774165 2128998 3193497 3548330 4257996 5322495 6386994 7096660 10644990 12773988 15967485 21289980 31934970 63869940 572345629 1144691258 1717036887 2289382516 2861728145 3434073774 5151110661 5723456290 6868147548 8585184435 10302221322 11446912580 17170368870 20604442644 25755553305 34340737740 51511106610 103022213220