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1131300122420 = 225139744857261
BaseRepresentation
bin10000011101100110101…
…111011110111100110100
311000011002020202201210002
4100131212233132330310
5122013400312404140
62223413451450432
7144506446243526
oct20354657367464
94004066681702
101131300122420
113a6866476266
12163306156a18
13828b161bc80
143ca80465a16
151e6637e1415
hex10766bdef34

1131300122420 has 48 divisors (see below), whose sum is σ = 2584854865488. Its totient is φ = 413404508160.

The previous prime is 1131300122417. The next prime is 1131300122443. The reversal of 1131300122420 is 242210031311.

It can be written as a sum of positive squares in 8 ways, for example, as 28892520484 + 1102407601936 = 169978^2 + 1049956^2 .

It is a super-3 number, since 3×11313001224203 (a number of 37 digits) contains 333 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 = 1131300122392 and 1131300122401.

It is a congruent number.

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, 22403411 + ... + 22453850.

It is an arithmetic number, because the mean of its divisors is an integer number (53851143031).

Almost surely, 21131300122420 is an apocalyptic number.

1131300122420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131300122420 is an abundant number, since it is smaller than the sum of its proper divisors (1453554743068).

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

1131300122420 is a wasteful number, since it uses less digits than its factorization.

1131300122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44857380 (or 44857378 counting only the distinct ones).

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

Adding to 1131300122420 its reverse (242210031311), we get a palindrome (1373510153731).

The spelling of 1131300122420 in words is "one trillion, one hundred thirty-one billion, three hundred million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 388 485 970 1261 1940 2522 5044 6305 12610 25220 44857261 89714522 179429044 224286305 448572610 583144393 897145220 1166288786 2332577572 2915721965 4351154317 5831443930 8702308634 11662887860 17404617268 21755771585 43511543170 56565006121 87023086340 113130012242 226260024484 282825030605 565650061210 1131300122420