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131323003020 = 223251166324749
BaseRepresentation
bin111101001001101110…
…1100000000010001100
3110112222010101202120200
41322103131200002030
54122422142044040
6140155015413500
712326210052006
oct1722335400214
9415863352520
10131323003020
115076a458960
122154b984290
13c4cb004a61
1464db097376
153639099630
hex1e9376008c

131323003020 has 72 divisors (see below), whose sum is σ = 434559762000. Its totient is φ = 31835879040.

The previous prime is 131323003013. The next prime is 131323003039. The reversal of 131323003020 is 20300323131.

131323003020 is a `hidden beast` number, since 1 + 31 + 32 + 300 + 302 + 0 = 666.

131323003020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1313230030202 (a number of 23 digits) contains 22 as substring.

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 = 131323002984 and 131323003002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33160395 + ... + 33164354.

It is an arithmetic number, because the mean of its divisors is an integer number (6035552250).

Almost surely, 2131323003020 is an apocalyptic number.

131323003020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131323003020 is an abundant number, since it is smaller than the sum of its proper divisors (303236758980).

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

131323003020 is a wasteful number, since it uses less digits than its factorization.

131323003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66324775 (or 66324770 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 131323003020 its reverse (20300323131), we get a palindrome (151623326151).

The spelling of 131323003020 in words is "one hundred thirty-one billion, three hundred twenty-three million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 66324749 132649498 198974247 265298996 331623745 397948494 596922741 663247490 729572239 795896988 994871235 1193845482 1326494980 1459144478 1989742470 2188716717 2387690964 2918288956 2984613705 3647861195 3979484940 4377433434 5969227410 6566150151 7295722390 8754866868 10943583585 11938454820 13132300302 14591444780 21887167170 26264600604 32830750755 43774334340 65661501510 131323003020