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11300220072 = 23322934491193
BaseRepresentation
bin10101000011000101…
…11010110010101000
31002011112100122202100
422201202322302220
5141120324020242
65105150533400
7550013200011
oct124142726250
932145318670
1011300220072
114879752659
122234507260
1310b11a166b
14792b00008
154620e354c
hex2a18baca8

11300220072 has 96 divisors (see below), whose sum is σ = 30803409000. Its totient is φ = 3742384128.

The previous prime is 11300220017. The next prime is 11300220073. The reversal of 11300220072 is 27002200311.

It can be written as a sum of positive squares in 4 ways, for example, as 11266973316 + 33246756 = 106146^2 + 5766^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11300220073) 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, 9471508 + ... + 9472700.

Almost surely, 211300220072 is an apocalyptic number.

11300220072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11300220072 is an abundant number, since it is smaller than the sum of its proper divisors (19503188928).

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

11300220072 is a wasteful number, since it uses less digits than its factorization.

11300220072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 11300220072 its reverse (27002200311), we get a palindrome (38302420383).

The spelling of 11300220072 in words is "eleven billion, three hundred million, two hundred twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 449 586 879 898 1172 1193 1347 1758 1796 2344 2386 2637 2694 3516 3579 3592 4041 4772 5274 5388 7032 7158 8082 9544 10548 10737 10776 14316 16164 21096 21474 28632 32328 42948 85896 131557 263114 349549 394671 526228 535657 699098 789342 1048647 1052456 1071314 1184013 1398196 1578684 1606971 2097294 2142628 2368026 2796392 3145941 3157368 3213942 4194588 4285256 4736052 4820913 6291882 6427884 8389176 9472104 9641826 12583764 12855768 19283652 25167528 38567304 156947501 313895002 470842503 627790004 941685006 1255580008 1412527509 1883370012 2825055018 3766740024 5650110036 11300220072