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2023100112 = 2431119319853
BaseRepresentation
bin111100010010110…
…0000111011010000
312012222211010121210
41320211200323100
513120403200422
6532430020120
7101064032025
oct17045407320
95188733553
102023100112
11948a95070
12485647640
132631a4877
1415298d54c
15bc92710c
hex78960ed0

2023100112 has 80 divisors (see below), whose sum is σ = 5731293888. Its totient is φ = 609853440.

The previous prime is 2023100111. The next prime is 2023100129. The reversal of 2023100112 is 2110013202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023100111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91978 + ... + 111830.

Almost surely, 22023100112 is an apocalyptic number.

2023100112 is a gapful number since it is divisible by the number (22) 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 2023100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865646944).

2023100112 is an abundant number, since it is smaller than the sum of its proper divisors (3708193776).

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

2023100112 is a wasteful number, since it uses less digits than its factorization.

2023100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20068 (or 20062 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2023100112 is about 44978.8851796040. The cubic root of 2023100112 is about 1264.7532130138.

Adding to 2023100112 its reverse (2110013202), we get a palindrome (4133113314).

It can be divided in two parts, 20 and 23100112, that added together give a palindrome (23100132).

The spelling of 2023100112 in words is "two billion, twenty-three million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 193 264 386 528 579 772 1158 1544 2123 2316 3088 4246 4632 6369 8492 9264 12738 16984 19853 25476 33968 39706 50952 59559 79412 101904 119118 158824 218383 238236 317648 436766 476472 655149 873532 952944 1310298 1747064 2620596 3494128 3831629 5241192 7663258 10482384 11494887 15326516 22989774 30653032 42147919 45979548 61306064 84295838 91959096 126443757 168591676 183918192 252887514 337183352 505775028 674366704 1011550056 2023100112