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12313202120032 = 2511231710031743
BaseRepresentation
bin1011001100101110010000…
…0010011101010101100000
31121121010112020010022120011
42303023210002131111200
53103214414220320112
642104335034254304
72410412425056622
oct263134402352540
947533466108504
1012313202120032
113a17aaa657300
12146a46a587394
136b418c73a428
14307d68260c12
15165464658aa7
hexb32e409d560

12313202120032 has 72 divisors (see below), whose sum is σ = 26729802586368. Its totient is φ = 5579253630720.

The previous prime is 12313202119957. The next prime is 12313202120113. The reversal of 12313202120032 is 23002120231321.

It is a super-2 number, since 2×123132021200322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12313202119985 and 12313202120012.

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 11 ways as a sum of consecutive naturals, for example, 3788448 + ... + 6243295.

It is an arithmetic number, because the mean of its divisors is an integer number (371247258144).

Almost surely, 212313202120032 is an apocalyptic number.

It is an amenable number.

12313202120032 is an abundant number, since it is smaller than the sum of its proper divisors (14416600466336).

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

12313202120032 is a wasteful number, since it uses less digits than its factorization.

12313202120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10032092 (or 10032073 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12313202120032 its reverse (23002120231321), we get a palindrome (35315322351353).

The spelling of 12313202120032 in words is "twelve trillion, three hundred thirteen billion, two hundred two million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 317 352 484 634 968 1268 1936 2536 3487 3872 5072 6974 10144 13948 27896 38357 55792 76714 111584 153428 306856 613712 1227424 10031743 20063486 40126972 80253944 110349173 160507888 220698346 321015776 441396692 882793384 1213840903 1765586768 2427681806 3180062531 3531173536 4855363612 6360125062 9710727224 12720250124 19421454448 25440500248 34980687841 38842908896 50881000496 69961375682 101762000992 139922751364 279845502728 384787566251 559691005456 769575132502 1119382010912 1539150265004 3078300530008 6156601060016 12313202120032