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10232003112 = 2331777332443
BaseRepresentation
bin10011000011101111…
…11111101000101000
3222102002022121120020
421201313333220220
5131423343044422
64411151200440
7511362406602
oct114167775050
928362277506
1010232003112
114380776421
121b96816120
13c70a9b416
146d0cb6172
153ed43995c
hex261dffa28

10232003112 has 64 divisors (see below), whose sum is σ = 27120588480. Its totient is φ = 3205788672.

The previous prime is 10232003107. The next prime is 10232003113. The reversal of 10232003112 is 21130023201.

It is a junction number, because it is equal to n+sod(n) for n = 10232003091 and 10232003100.

It is not an unprimeable number, because it can be changed into a prime (10232003113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 299163 + ... + 331605.

It is an arithmetic number, because the mean of its divisors is an integer number (423759195).

Almost surely, 210232003112 is an apocalyptic number.

10232003112 is a gapful number since it is divisible by the number (12) 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 10232003112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13560294240).

10232003112 is an abundant number, since it is smaller than the sum of its proper divisors (16888585368).

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

10232003112 is a wasteful number, since it uses less digits than its factorization.

10232003112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33242 (or 33238 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10232003112 its reverse (21130023201), we get a palindrome (31362026313).

The spelling of 10232003112 in words is "ten billion, two hundred thirty-two million, three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 773 1546 2319 3092 4638 6184 9276 13141 18552 26282 32443 39423 52564 64886 78846 97329 105128 129772 157692 194658 259544 315384 389316 551531 778632 1103062 1654593 2206124 3309186 4412248 6618372 13236744 25078439 50156878 75235317 100313756 150470634 200627512 300941268 426333463 601882536 852666926 1279000389 1705333852 2558000778 3410667704 5116001556 10232003112