Search a number
-
+
20231223100 = 22521131593291
BaseRepresentation
bin10010110101110111…
…111111011100111100
31221012221121121201021
4102311313333130330
5312413143114400
613143305153524
71314230362504
oct226567773474
957187547637
1020231223100
118641aa83a0
123b0748b8a4
131ba557483a
14d9ccb4a04
157d61e171a
hex4b5dff73c

20231223100 has 72 divisors (see below), whose sum is σ = 49437835776. Its totient is φ = 7119480000.

The previous prime is 20231223097. The next prime is 20231223101. The reversal of 20231223100 is 132213202.

It is a super-2 number, since 2×202312231002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231223101) 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, 262546 + ... + 330745.

It is an arithmetic number, because the mean of its divisors is an integer number (686636608).

Almost surely, 220231223100 is an apocalyptic number.

20231223100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20231223100 is an abundant number, since it is smaller than the sum of its proper divisors (29206612676).

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

20231223100 is a wasteful number, since it uses less digits than its factorization.

20231223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593347 (or 593340 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20231223100 its reverse (132213202), we get a palindrome (20363436302).

The spelling of 20231223100 in words is "twenty billion, two hundred thirty-one million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 6820 8525 17050 34100 593291 1186582 2373164 2966455 5932910 6526201 11865820 13052402 14832275 18392021 26104804 29664550 32631005 36784042 59329100 65262010 73568084 91960105 130524020 163155025 183920210 202312231 326310050 367840420 404624462 459800525 652620100 809248924 919601050 1011561155 1839202100 2023122310 4046244620 5057805775 10115611550 20231223100