Search a number
-
+
23001332310100 = 2252230013323101
BaseRepresentation
bin1010011101011011010100…
…01111011110000001010100
310000102220110101201010222101
411032231222033132001110
511003323212032410400
6120530355521411444
74562535312516004
oct516555217360124
9100386411633871
1023001332310100
1173688a049a041
1226b598b799b84
13cab029b521c1
145973b0086004
1529d4b654d56a
hex14eb6a3de054

23001332310100 has 18 divisors (see below), whose sum is σ = 49912891113134. Its totient is φ = 9200532924000.

The previous prime is 23001332310079. The next prime is 23001332310109. The reversal of 23001332310100 is 101323310032.

It can be written as a sum of positive squares in 3 ways, for example, as 3096635595076 + 19904696715024 = 1759726^2 + 4461468^2 .

It is a super-2 number, since 2×230013323101002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23001332310109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115006661451 + ... + 115006661650.

Almost surely, 223001332310100 is an apocalyptic number.

23001332310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23001332310100 is an abundant number, since it is smaller than the sum of its proper divisors (26911558803034).

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

23001332310100 is a wasteful number, since it uses less digits than its factorization.

23001332310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230013323115 (or 230013323108 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 23001332310100 its reverse (101323310032), we get a palindrome (23102655620132).

The spelling of 23001332310100 in words is "twenty-three trillion, one billion, three hundred thirty-two million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 230013323101 460026646202 920053292404 1150066615505 2300133231010 4600266462020 5750333077525 11500666155050 23001332310100