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12343745300 = 22521013833191
BaseRepresentation
bin10110111111011111…
…01001101100010100
31011212020221020020212
423133233221230110
5200234444322200
65400505144552
7614614050425
oct133757515424
934766836225
1012343745300
1152647a45a7
122485a8b158
13121943ab03
1485153b64c
154c3a21035
hex2dfbe9b14

12343745300 has 72 divisors (see below), whose sum is σ = 27130263552. Its totient is φ = 4874320000.

The previous prime is 12343745299. The next prime is 12343745303. The reversal of 12343745300 is 354734321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12343745303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3866705 + ... + 3869895.

It is an arithmetic number, because the mean of its divisors is an integer number (376809216).

Almost surely, 212343745300 is an apocalyptic number.

12343745300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12343745300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13565131776).

12343745300 is an abundant number, since it is smaller than the sum of its proper divisors (14786518252).

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

12343745300 is a wasteful number, since it uses less digits than its factorization.

12343745300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The spelling of 12343745300 in words is "twelve billion, three hundred forty-three million, seven hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 383 404 505 766 1010 1532 1915 2020 2525 3191 3830 5050 6382 7660 9575 10100 12764 15955 19150 31910 38300 38683 63820 77366 79775 154732 159550 193415 319100 322291 386830 644582 773660 967075 1222153 1289164 1611455 1934150 2444306 3222910 3868300 4888612 6110765 6445820 8057275 12221530 16114550 24443060 30553825 32229100 61107650 122215300 123437453 246874906 493749812 617187265 1234374530 2468749060 3085936325 6171872650 12343745300