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131223232031034 = 2311132104571125053
BaseRepresentation
bin11101110101100011001010…
…001000011010100100111010
3122012121211002122212212002010
4131311203022020122210322
5114144430134344443114
61143031042013350350
736432365006336433
oct3565431210324472
9565554078785063
10131223232031034
11388a2507554070
1212873b36a983b6
13582b3b401c900
142459349d3448a
15102863db28c59
hex7758ca21a93a

131223232031034 has 96 divisors (see below), whose sum is σ = 310052749817664. Its totient is φ = 36702256381440.

The previous prime is 131223232031033. The next prime is 131223232031041. The reversal of 131223232031034 is 430130232322131.

It is a junction number, because it is equal to n+sod(n) for n = 131223232030992 and 131223232031010.

It is not an unprimeable number, because it can be changed into a prime (131223232031033) 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 47 ways as a sum of consecutive naturals, for example, 116074852 + ... + 117199904.

It is an arithmetic number, because the mean of its divisors is an integer number (3229716143934).

Almost surely, 2131223232031034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131223232031034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155026374908832).

131223232031034 is an abundant number, since it is smaller than the sum of its proper divisors (178829517786630).

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

131223232031034 is a wasteful number, since it uses less digits than its factorization.

131223232031034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135552 (or 1135539 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 131223232031034 its reverse (430130232322131), we get a palindrome (561353464353165).

The spelling of 131223232031034 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, two hundred thirty-two million, thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 858 1014 1859 3718 5577 10457 11154 20914 31371 62742 115027 135941 230054 271882 345081 407823 690162 815646 1125053 1495351 1767233 2250106 2990702 3375159 3534466 4486053 5301699 6750318 8972106 10603398 12375583 14625689 19439563 24751166 29251378 37126749 38879126 43877067 58318689 74253498 87754134 116637378 160882579 190133957 321765158 380267914 482647737 570401871 965295474 1140803742 2091473527 4182947054 6274420581 11764679221 12548841162 23529358442 35294037663 70588075326 129411471431 152940829873 258822942862 305881659746 388234414293 458822489619 776468828586 917644979238 1682349128603 1988230788349 3364698257206 3976461576698 5047047385809 5964692365047 10094094771618 11929384730094 21870538671839 43741077343678 65611616015517 131223232031034