[go: up one dir, main page]

Search a number
-
+
23131020 = 223511101347
BaseRepresentation
bin101100000111…
…1001110001100
31121112011210110
41120033032030
521410143040
62143440020
7400416243
oct130171614
947464713
1023131020
1112069750
1278b6010
134a3b5c3
14310195a
15206d980
hex160f38c

23131020 has 96 divisors (see below), whose sum is σ = 71559936. Its totient is φ = 5536000.

The previous prime is 23131001. The next prime is 23131027. The reversal of 23131020 is 2013132.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 23130987 and 23131005.

It is not an unprimeable number, because it can be changed into a prime (23131027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66487 + ... + 66833.

It is an arithmetic number, because the mean of its divisors is an integer number (745416).

Almost surely, 223131020 is an apocalyptic number.

23131020 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 23131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35779968).

23131020 is an abundant number, since it is smaller than the sum of its proper divisors (48428916).

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

23131020 is a wasteful number, since it uses less digits than its factorization.

23131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 23131020 is about 4809.4719044818. The cubic root of 23131020 is about 284.9256808370.

Adding to 23131020 its reverse (2013132), we get a palindrome (25144152).

It can be divided in two parts, 2313 and 1020, that added together give a palindrome (3333).

The spelling of 23131020 in words is "twenty-three million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 347 404 505 606 660 694 1010 1041 1111 1212 1388 1515 1735 2020 2082 2222 3030 3333 3470 3817 4164 4444 5205 5555 6060 6666 6940 7634 10410 11110 11451 13332 15268 16665 19085 20820 22220 22902 33330 35047 38170 45804 57255 66660 70094 76340 105141 114510 140188 175235 210282 229020 350470 385517 420564 525705 700940 771034 1051410 1156551 1542068 1927585 2102820 2313102 3855170 4626204 5782755 7710340 11565510 23131020