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1303011131220 = 2232537195647317
BaseRepresentation
bin10010111101100001100…
…000111111111101010100
311121120022002022202201200
4102331201200333331110
5132322031322144340
62434332310352500
7163065554604531
oct22754140777524
94546262282650
101303011131220
114626708a5697
1219064795b730
1395b47ba83a6
14470cd44bd88
1523d63467330
hex12f6183ff54

1303011131220 has 72 divisors (see below), whose sum is σ = 4059290553864. Its totient is φ = 338078562048.

The previous prime is 1303011131203. The next prime is 1303011131273. The reversal of 1303011131220 is 221311103031.

1303011131220 is a `hidden beast` number, since 1 + 30 + 301 + 1 + 1 + 312 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 431783038404 + 871228092816 = 657102^2 + 933396^2 .

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 = 1303011131193 and 1303011131202.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 97816999 + ... + 97830318.

Almost surely, 21303011131220 is an apocalyptic number.

1303011131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303011131220 is an abundant number, since it is smaller than the sum of its proper divisors (2756279422644).

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

1303011131220 is a wasteful number, since it uses less digits than its factorization.

1303011131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195647369 (or 195647364 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1303011131220 its reverse (221311103031), we get a palindrome (1524322234251).

The spelling of 1303011131220 in words is "one trillion, three hundred three billion, eleven million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 195647317 391294634 586941951 782589268 978236585 1173883902 1760825853 1956473170 2347767804 2934709755 3521651706 3912946340 5869419510 7043303412 7238950729 8804129265 11738839020 14477901458 17608258530 21716852187 28955802916 35216517060 36194753645 43433704374 65150556561 72389507290 86867408748 108584260935 130301113122 144779014580 217168521870 260602226244 325752782805 434337043740 651505565610 1303011131220