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11220023113220 = 2251136857724021
BaseRepresentation
bin1010001101000101110101…
…1111011111011000000100
31110201121211200221220102202
42203101131133133120010
52432312101404110340
635510224002254032
72235422426610605
oct243213537373004
943647750856382
1011220023113220
1136364265a6469
121312623057318
13635074b512cc
142ab0a2a37dac
15146cd2912c15
hexa345d7df604

11220023113220 has 48 divisors (see below), whose sum is σ = 23774061690288. Its totient is φ = 4447637483520.

The previous prime is 11220023113213. The next prime is 11220023113283. The reversal of 11220023113220 is 2231132002211.

It can be written as a sum of positive squares in 8 ways, for example, as 1703254687744 + 9516768425476 = 1305088^2 + 3084926^2 .

It is a super-2 number, since 2×112200231132202 (a number of 27 digits) contains 22 as substring.

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 = 11220023113192 and 11220023113201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15134810 + ... + 15858830.

It is an arithmetic number, because the mean of its divisors is an integer number (495292951881).

Almost surely, 211220023113220 is an apocalyptic number.

11220023113220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220023113220 is an abundant number, since it is smaller than the sum of its proper divisors (12554038577068).

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

11220023113220 is a wasteful number, since it uses less digits than its factorization.

11220023113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731000 (or 730998 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11220023113220 its reverse (2231132002211), we get a palindrome (13451155115431).

The spelling of 11220023113220 in words is "eleven trillion, two hundred twenty billion, twenty-three million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 6857 13714 27428 34285 68570 137140 724021 774841 1448042 1549682 2896084 3099364 3620105 3874205 7240210 7748410 14480420 15496820 81814373 163628746 327257492 409071865 818143730 1636287460 4964611997 9929223994 19858447988 24823059985 49646119970 99292239940 561001155661 1122002311322 2244004622644 2805005778305 5610011556610 11220023113220