Search a number
-
+
2023211100 = 22352232910111
BaseRepresentation
bin111100010010111…
…1100000001011100
312020000000202212110
41320211330001130
513120420223400
6532432234020
7101065003431
oct17045740134
95200022773
102023211100
11949060499
1248569b910
13263213241
141529bbb88
15bc949e50
hex7897c05c

2023211100 has 144 divisors (see below), whose sum is σ = 6319595520. Its totient is φ = 498220800.

The previous prime is 2023211083. The next prime is 2023211117. The reversal of 2023211100 is 11123202.

It is an interprime number because it is at equal distance from previous prime (2023211083) and next prime (2023211117).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195045 + ... + 205155.

It is an arithmetic number, because the mean of its divisors is an integer number (43886080).

Almost surely, 22023211100 is an apocalyptic number.

2023211100 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 2023211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159797760).

2023211100 is an abundant number, since it is smaller than the sum of its proper divisors (4296384420).

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

2023211100 is a wasteful number, since it uses less digits than its factorization.

2023211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10180 (or 10173 counting only the distinct ones).

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

The square root of 2023211100 is about 44980.1189415946. The cubic root of 2023211100 is about 1264.7763408630.

Adding to 2023211100 its reverse (11123202), we get a palindrome (2034334302).

The spelling of 2023211100 in words is "two billion, twenty-three million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 29 30 46 50 58 60 69 75 87 92 100 115 116 138 145 150 174 230 276 290 300 345 348 435 460 575 580 667 690 725 870 1150 1334 1380 1450 1725 1740 2001 2175 2300 2668 2900 3335 3450 4002 4350 6670 6900 8004 8700 10005 10111 13340 16675 20010 20222 30333 33350 40020 40444 50025 50555 60666 66700 100050 101110 121332 151665 200100 202220 232553 252775 293219 303330 465106 505550 586438 606660 697659 758325 879657 930212 1011100 1162765 1172876 1395318 1466095 1516650 1759314 2325530 2790636 2932190 3033300 3488295 3518628 4398285 4651060 5813825 5864380 6744037 6976590 7330475 8796570 11627650 13488074 13953180 14660950 17441475 17593140 20232111 21991425 23255300 26976148 29321900 33720185 34882950 40464222 43982850 67440370 69765900 80928444 87965700 101160555 134880740 168600925 202321110 337201850 404642220 505802775 674403700 1011605550 2023211100