Search a number
-
+
2023110232020 = 2232518077621757
BaseRepresentation
bin11101011100001010110…
…001000100011111010100
321011102000000211021110100
4131130022301010133110
5231121312204411040
64145223133254100
7266110362143553
oct35341261043724
97142000737410
102023110232020
1170aaa5a90199
12288113634330
13118a1740a387
146dcc1c73d9a
153795bd13b30
hex1d70ac447d4

2023110232020 has 72 divisors (see below), whose sum is σ = 6137117053704. Its totient is φ = 539465349888.

The previous prime is 2023110232001. The next prime is 2023110232067. The reversal of 2023110232020 is 202320113202.

It can be written as a sum of positive squares in 4 ways, for example, as 128814952464 + 1894295279556 = 358908^2 + 1376334^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2023110231984 and 2023110232002.

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, 2942982 + ... + 3564738.

It is an arithmetic number, because the mean of its divisors is an integer number (85237736857).

Almost surely, 22023110232020 is an apocalyptic number.

2023110232020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023110232020 is an abundant number, since it is smaller than the sum of its proper divisors (4114006821684).

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

2023110232020 is a wasteful number, since it uses less digits than its factorization.

2023110232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639849 (or 639844 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2023110232020 its reverse (202320113202), we get a palindrome (2225430345222).

The spelling of 2023110232020 in words is "two trillion, twenty-three billion, one hundred ten million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 18077 36154 54231 72308 90385 108462 162693 180770 216924 271155 325386 361540 542310 621757 650772 813465 1084620 1243514 1626930 1865271 2487028 3108785 3253860 3730542 5595813 6217570 7461084 9326355 11191626 12435140 18652710 22383252 27979065 37305420 55958130 111916260 11239501289 22479002578 33718503867 44958005156 56197506445 67437007734 101155511601 112395012890 134874015468 168592519335 202311023202 224790025780 337185038670 404622046404 505777558005 674370077340 1011555116010 2023110232020