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2123031100 = 2252234192203
BaseRepresentation
bin111111010001010…
…1110001000111100
312110221212011011111
41332202232020330
513321443443400
6550355531404
7103416316021
oct17642561074
95427764144
102123031100
1199a439763
124b2bb9b64
1327aac2b28
14161d63548
15c65b63ba
hex7e8ae23c

2123031100 has 72 divisors (see below), whose sum is σ = 4820941440. Its totient is φ = 809983680.

The previous prime is 2123031091. The next prime is 2123031107. The reversal of 2123031100 is 11303212.

It is a super-2 number, since 2×21230311002 = 9014522103134420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123031107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 962599 + ... + 964801.

It is an arithmetic number, because the mean of its divisors is an integer number (66957520).

Almost surely, 22123031100 is an apocalyptic number.

2123031100 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 2123031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410470720).

2123031100 is an abundant number, since it is smaller than the sum of its proper divisors (2697910340).

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

2123031100 is a wasteful number, since it uses less digits than its factorization.

2123031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2123031100 is about 46076.3616185132. The cubic root of 2123031100 is about 1285.2436062548.

Adding to 2123031100 its reverse (11303212), we get a palindrome (2134334312).

The spelling of 2123031100 in words is "two billion, one hundred twenty-three million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 419 460 575 838 1150 1676 2095 2203 2300 4190 4406 8380 8812 9637 10475 11015 19274 20950 22030 38548 41900 44060 48185 50669 55075 96370 101338 110150 192740 202676 220300 240925 253345 481850 506690 923057 963700 1013380 1266725 1846114 2533450 3692228 4615285 5066900 9230570 18461140 21230311 23076425 42460622 46152850 84921244 92305700 106151555 212303110 424606220 530757775 1061515550 2123031100