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20231101000 = 2353115713221
BaseRepresentation
bin10010110101110111…
…100001101001001000
31221012221101102020001
4102311313201221020
5312413130213000
613143302412344
71314226343515
oct226567415110
957187342201
1020231101000
118641a24690
123b074310b4
131ba55310a6
14d9cc8230c
157d61ba46a
hex4b5de1a48

20231101000 has 128 divisors (see below), whose sum is σ = 51750990720. Its totient is φ = 7341600000.

The previous prime is 20231100943. The next prime is 20231101013. The reversal of 20231101000 is 10113202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6279390 + ... + 6282610.

It is an arithmetic number, because the mean of its divisors is an integer number (404304615).

Almost surely, 220231101000 is an apocalyptic number.

20231101000 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 20231101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25875495360).

20231101000 is an abundant number, since it is smaller than the sum of its proper divisors (31519889720).

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

20231101000 is a wasteful number, since it uses less digits than its factorization.

20231101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 20231101000 its reverse (10113202), we get a palindrome (20241214202).

The spelling of 20231101000 in words is "twenty billion, two hundred thirty-one million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 571 1000 1100 1142 1375 2200 2284 2750 2855 3221 4568 5500 5710 6281 6442 11000 11420 12562 12884 14275 16105 22840 25124 25768 28550 31405 32210 35431 50248 57100 62810 64420 70862 71375 80525 114200 125620 128840 141724 142750 157025 161050 177155 251240 283448 285500 314050 322100 354310 402625 571000 628100 644200 708620 785125 805250 885775 1256200 1417240 1570250 1610500 1771550 1839191 3140500 3221000 3543100 3678382 4428875 6281000 7086200 7356764 8857750 9195955 14713528 17715500 18391910 20231101 35431000 36783820 40462202 45979775 73567640 80924404 91959550 101155505 161848808 183919100 202311010 229898875 367838200 404622020 459797750 505777525 809244040 919595500 1011555050 1839191000 2023110100 2528887625 4046220200 5057775250 10115550500 20231101000