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12443420100 = 2235241998993
BaseRepresentation
bin10111001011010111…
…11000010111000100
31012010012111020101010
423211223320113010
5200441003420400
65414425402220
7620234216466
oct134553702704
935105436333
1012443420100
115305a93771
1224b3339370
131233c99597
14860886136
154cc65e450
hex2e5af85c4

12443420100 has 72 divisors (see below), whose sum is σ = 36089252640. Its totient is φ = 3310292480.

The previous prime is 12443420081. The next prime is 12443420107. The reversal of 12443420100 is 102434421.

It is not an unprimeable number, because it can be changed into a prime (12443420107) 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, 76204 + ... + 175196.

It is an arithmetic number, because the mean of its divisors is an integer number (501239620).

Almost surely, 212443420100 is an apocalyptic number.

12443420100 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 12443420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18044626320).

12443420100 is an abundant number, since it is smaller than the sum of its proper divisors (23645832540).

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

12443420100 is a wasteful number, since it uses less digits than its factorization.

12443420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99429 (or 99422 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12443420100 its reverse (102434421), we get a palindrome (12545854521).

The spelling of 12443420100 in words is "twelve billion, four hundred forty-three million, four hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 419 838 1257 1676 2095 2514 4190 5028 6285 8380 10475 12570 20950 25140 31425 41900 62850 98993 125700 197986 296979 395972 494965 593958 989930 1187916 1484895 1979860 2474825 2969790 4949650 5939580 7424475 9899300 14848950 29697900 41478067 82956134 124434201 165912268 207390335 248868402 414780670 497736804 622171005 829561340 1036951675 1244342010 2073903350 2488684020 3110855025 4147806700 6221710050 12443420100