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12300010320 = 2435133942311
BaseRepresentation
bin10110111010010001…
…10100001101010000
31011202012122021010210
423131020310031100
5200142300312240
65352303524120
7613543235253
oct133510641520
934665567123
1012300010320
115242042894
1224732b9640
131210367220
148497d509a
154bec82780
hex2dd234350

12300010320 has 80 divisors (see below), whose sum is σ = 41063121792. Its totient is φ = 3027694080.

The previous prime is 12300010319. The next prime is 12300010343. The reversal of 12300010320 is 2301000321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12300010296 and 12300010305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968036 + ... + 1974275.

Almost surely, 212300010320 is an apocalyptic number.

12300010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300010320 is an abundant number, since it is smaller than the sum of its proper divisors (28763111472).

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

12300010320 is a wasteful number, since it uses less digits than its factorization.

12300010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942340 (or 3942334 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12300010320 its reverse (2301000321), we get a palindrome (14601010641).

Subtracting from 12300010320 its reverse (2301000321), we obtain a palindrome (9999009999).

The spelling of 12300010320 in words is "twelve billion, three hundred million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 3942311 7884622 11826933 15769244 19711555 23653866 31538488 39423110 47307732 51250043 59134665 63076976 78846220 94615464 102500086 118269330 153750129 157692440 189230928 205000172 236538660 256250215 307500258 315384880 410000344 473077320 512500430 615000516 768750645 820000688 946154640 1025000860 1230001032 1537501290 2050001720 2460002064 3075002580 4100003440 6150005160 12300010320