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131030220030 = 235191399916421
BaseRepresentation
bin111101000001000000…
…0100111110011111110
3110112012201110211211020
41322002000213303332
54121322214020110
6140110000205010
712316023331203
oct1720200476376
9415181424736
10131030220030
115062a163746
1221489909766
13c482462b98
1464b0241caa
15361d513d70
hex1e82027cfe

131030220030 has 64 divisors (see below), whose sum is σ = 331067520000. Its totient is φ = 33097991040.

The previous prime is 131030220029. The next prime is 131030220121. The reversal of 131030220030 is 30022030131.

It is a super-2 number, since 2×1310302200302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 131030219991 and 131030220009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7971220 + ... + 7987640.

It is an arithmetic number, because the mean of its divisors is an integer number (5172930000).

Almost surely, 2131030220030 is an apocalyptic number.

131030220030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131030220030 is an abundant number, since it is smaller than the sum of its proper divisors (200037299970).

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

131030220030 is a wasteful number, since it uses less digits than its factorization.

131030220030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30449.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 131030220030 its reverse (30022030131), we get a palindrome (161052250161).

The spelling of 131030220030 in words is "one hundred thirty-one billion, thirty million, two hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 13999 16421 27998 32842 41997 49263 69995 82105 83994 98526 139990 164210 209985 246315 265981 311999 419970 492630 531962 623998 797943 935997 1329905 1559995 1595886 1871994 2659810 3119990 3989715 4679985 7979430 9359970 229877579 459755158 689632737 1149387895 1379265474 2298775790 3448163685 4367674001 6896327370 8735348002 13103022003 21838370005 26206044006 43676740010 65515110015 131030220030