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131303130020 = 225235938912437
BaseRepresentation
bin111101001001001000…
…1101100001110100100
3110112220202000002221122
41322102101230032210
54122402100130040
6140153025433112
712325546122146
oct1722221541644
9415822002848
10131303130020
115075a214a97
122154519b798
13c4c6b6739a
1464d85a2c96
1536374711b5
hex1e9246c3a4

131303130020 has 96 divisors (see below), whose sum is σ = 293377593600. Its totient is φ = 49255314944.

The previous prime is 131303130017. The next prime is 131303130041. The reversal of 131303130020 is 20031303131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10551242 + ... + 10563678.

It is an arithmetic number, because the mean of its divisors is an integer number (3056016600).

Almost surely, 2131303130020 is an apocalyptic number.

131303130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131303130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146688796800).

131303130020 is an abundant number, since it is smaller than the sum of its proper divisors (162074463580).

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

131303130020 is a wasteful number, since it uses less digits than its factorization.

131303130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12917 (or 12915 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 131303130020 its reverse (20031303131), we get a palindrome (151334433151).

The spelling of 131303130020 in words is "one hundred thirty-one billion, three hundred three million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 295 389 460 590 778 1180 1357 1556 1945 2714 3890 5428 6785 7780 8947 12437 13570 17894 22951 24874 27140 35788 44735 45902 49748 62185 89470 91804 114755 124370 178940 229510 248740 286051 459020 527873 572102 733783 1055746 1144204 1430255 1467566 2111492 2639365 2860510 2935132 3668915 4837993 5278730 5721020 7337830 9675986 10557460 14675660 16877009 19351972 24189965 33754018 48379930 67508036 84385045 96759860 111273839 168770090 222547678 285441587 337540180 445095356 556369195 570883174 1112738390 1141766348 1427207935 2225476780 2854415870 5708831740 6565156501 13130313002 26260626004 32825782505 65651565010 131303130020