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2023110122200 = 2352113720712421
BaseRepresentation
bin11101011100001010110…
…000101001101011011000
321011102000000121200210221
4131130022300221223120
5231121312142402300
64145223131045424
7266110361205436
oct35341260515330
97142000550727
102023110122200
1170aaa5a15732
122881135a0874
13118a1739c3ab
146dcc1c45d56
153795bce131a
hex1d70ac29ad8

2023110122200 has 96 divisors (see below), whose sum is σ = 4746397505760. Its totient is φ = 801906739200.

The previous prime is 2023110122191. The next prime is 2023110122221. The reversal of 2023110122200 is 22210113202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162871990 + ... + 162884410.

It is an arithmetic number, because the mean of its divisors is an integer number (49441640685).

Almost surely, 22023110122200 is an apocalyptic number.

2023110122200 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 2023110122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373198752880).

2023110122200 is an abundant number, since it is smaller than the sum of its proper divisors (2723287383560).

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

2023110122200 is a wasteful number, since it uses less digits than its factorization.

2023110122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19757 (or 19748 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2023110122200 its reverse (22210113202), we get a palindrome (2045320235402).

The spelling of 2023110122200 in words is "two trillion, twenty-three billion, one hundred ten million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 7207 11300 12421 14414 22600 24842 28828 36035 49684 57656 62105 72070 99368 124210 144140 180175 248420 288280 310525 360350 496840 621050 720700 814391 1242100 1403573 1441400 1628782 2484200 2807146 3257564 4071955 5614292 6515128 7017865 8143910 11228584 14035730 16287820 20359775 28071460 32575640 35089325 40719550 56142920 70178650 81439100 89518147 140357300 162878200 179036294 280714600 358072588 447590735 716145176 895181470 1790362940 2237953675 3580725880 4475907350 8951814700 10115550611 17903629400 20231101222 40462202444 50577753055 80924404888 101155506110 202311012220 252888765275 404622024440 505777530550 1011555061100 2023110122200