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20231323400 = 2352241421997
BaseRepresentation
bin10010110101111000…
…010111111100001000
31221012221210201022002
4102311320113330020
5312413204322100
613143311250132
71314231261101
oct226570277410
957187721262
1020231323400
118642066792
123b07519948
131ba55ab3a2
14d9ccdd3a8
157d62112d5
hex4b5e17f08

20231323400 has 96 divisors (see below), whose sum is σ = 47392684680. Its totient is φ = 8031744000.

The previous prime is 20231323391. The next prime is 20231323403. The reversal of 20231323400 is 432313202.

It can be written as a sum of positive squares in 12 ways, for example, as 1017482404 + 19213840996 = 31898^2 + 138614^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20231323403) 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, 20291702 + ... + 20292698.

Almost surely, 220231323400 is an apocalyptic number.

20231323400 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 20231323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23696342340).

20231323400 is an abundant number, since it is smaller than the sum of its proper divisors (27161361280).

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

20231323400 is a wasteful number, since it uses less digits than its factorization.

20231323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20231323400 its reverse (432313202), we get a palindrome (20663636602).

The spelling of 20231323400 in words is "twenty billion, two hundred thirty-one million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 241 421 482 842 964 997 1205 1684 1928 1994 2105 2410 3368 3988 4210 4820 4985 6025 7976 8420 9640 9970 10525 12050 16840 19940 21050 24100 24925 39880 42100 48200 49850 84200 99700 101461 199400 202922 240277 405844 419737 480554 507305 811688 839474 961108 1014610 1201385 1678948 1922216 2029220 2098685 2402770 2536525 3357896 4058440 4197370 4805540 5073050 6006925 8394740 9611080 10146100 10493425 12013850 16789480 20292200 20986850 24027700 41973700 48055400 83947400 101156617 202313234 404626468 505783085 809252936 1011566170 2023132340 2528915425 4046264680 5057830850 10115661700 20231323400