Search a number
-
+
130323025361672 = 231113532149409971
BaseRepresentation
bin11101101000011100110001…
…101000011111101100001000
3122002102202111201012212202222
4131220130301220133230020
5114040203023443033142
61141101323224313212
736310346026033343
oct3550346150375410
9562382451185688
10130323025361672
1138585759336550
1212749585612808
1357945407b2950
14242794d31145a
1510100033c6bd2
hex768731a1fb08

130323025361672 has 64 divisors (see below), whose sum is σ = 292491708989760. Its totient is φ = 53649272851200.

The previous prime is 130323025361671. The next prime is 130323025361687. The reversal of 130323025361672 is 276163520323031.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (130323025361671) by changing a digit.

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, 1074644354 + ... + 1074765617.

It is an arithmetic number, because the mean of its divisors is an integer number (4570182952965).

Almost surely, 2130323025361672 is an apocalyptic number.

It is an amenable number.

130323025361672 is an abundant number, since it is smaller than the sum of its proper divisors (162168683628088).

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

130323025361672 is a wasteful number, since it uses less digits than its factorization.

130323025361672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149410054 (or 2149410050 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 44.

The spelling of 130323025361672 in words is "one hundred thirty trillion, three hundred twenty-three billion, twenty-five million, three hundred sixty-one thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 53 88 104 106 143 212 286 424 572 583 689 1144 1166 1378 2332 2756 4664 5512 7579 15158 30316 60632 2149409971 4298819942 8597639884 17195279768 23643509681 27942329623 47287019362 55884659246 94574038724 111769318492 113918728463 189148077448 223538636984 227837456926 307365625853 455674913852 614731251706 911349827704 1229462503412 1253106013093 1480943470019 2458925006824 2506212026186 2961886940038 5012424052372 5923773880076 10024848104744 11847547760152 16290378170209 32580756340418 65161512680836 130323025361672