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12323131300032 = 26379168996503
BaseRepresentation
bin1011001101010011001111…
…0111010001100011000000
31121122002011012121220220120
42303110303313101203000
53103400233103100112
642113100211140240
72411213452521360
oct263246367214300
947562135556816
1012323131300032
113a212353a0193
12147037b8a4680
136b50b285ca77
1430862ac2a9a0
151658461c7e8c
hexb3533dd18c0

12323131300032 has 56 divisors (see below), whose sum is σ = 37262801792256. Its totient is φ = 3520894656768.

The previous prime is 12323131299979. The next prime is 12323131300063. The reversal of 12323131300032 is 23000313132321.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12323131299975 and 12323131300011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4584496908 + ... + 4584499595.

Almost surely, 212323131300032 is an apocalyptic number.

12323131300032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12323131300032 is an abundant number, since it is smaller than the sum of its proper divisors (24939670492224).

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

12323131300032 is an equidigital number, since it uses as much as digits as its factorization.

12323131300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9168996525 (or 9168996515 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12323131300032 its reverse (23000313132321), we get a palindrome (35323444432353).

The spelling of 12323131300032 in words is "twelve trillion, three hundred twenty-three billion, one hundred thirty-one million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 9168996503 18337993006 27506989509 36675986012 55013979018 64182975521 73351972024 110027958036 128365951042 146703944048 192548926563 220055916072 256731902084 293407888096 385097853126 440111832144 513463804168 586815776192 770195706252 880223664288 1026927608336 1540391412504 1760447328576 2053855216672 3080782825008 4107710433344 6161565650016 12323131300032