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20231123200 = 28525475779
BaseRepresentation
bin10010110101110111…
…100111000100000000
31221012221102112200021
4102311313213010000
5312413131420300
613143303103224
71314226465321
oct226567470400
957187375607
1020231123200
118641a3a332
123b07441b14
131ba553b222
14d9cc8a448
157d61c1d1a
hex4b5de7100

20231123200 has 108 divisors (see below), whose sum is σ = 50175417040. Its totient is φ = 8076257280.

The previous prime is 20231123179. The next prime is 20231123243. The reversal of 20231123200 is 232113202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3497911 + ... + 3503689.

Almost surely, 220231123200 is an apocalyptic number.

20231123200 is a gapful number since it is divisible by the number (20) 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 20231123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25087708520).

20231123200 is an abundant number, since it is smaller than the sum of its proper divisors (29944293840).

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

20231123200 is an equidigital number, since it uses as much as digits as its factorization.

20231123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6352 (or 6333 counting only the distinct ones).

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

Adding to 20231123200 its reverse (232113202), we get a palindrome (20463236402).

The spelling of 20231123200 in words is "twenty billion, two hundred thirty-one million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 547 640 800 1094 1280 1600 2188 2735 3200 4376 5470 5779 6400 8752 10940 11558 13675 17504 21880 23116 27350 28895 35008 43760 46232 54700 57790 70016 87520 92464 109400 115580 140032 144475 175040 184928 218800 231160 288950 350080 369856 437600 462320 577900 700160 739712 875200 924640 1155800 1479424 1750400 1849280 2311600 3161113 3500800 3698560 4623200 6322226 7397120 9246400 12644452 15805565 18492800 25288904 31611130 36985600 50577808 63222260 79027825 101155616 126444520 158055650 202311232 252889040 316111300 404622464 505778080 632222600 809244928 1011556160 1264445200 2023112320 2528890400 4046224640 5057780800 10115561600 20231123200