Search a number
-
+
231000023100 = 223527112909091
BaseRepresentation
bin1101011100100010101…
…1001010000000111100
3211002020210022000200010
43113020223022000330
512241042001214400
6254041524103220
722455252541050
oct3271053120074
9732223260603
10231000023100
1189a6a544400
1238929534b10
1318a2492bb02
14b275281c60
15601ec86450
hex35c8aca03c

231000023100 has 216 divisors, whose sum is σ = 839593734784. Its totient is φ = 47999952000.

The previous prime is 231000023083. The next prime is 231000023129. The reversal of 231000023100 is 1320000132.

It is a happy number.

It is a super-2 number, since 2×2310000231002 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 200446 + ... + 708645.

Almost surely, 2231000023100 is an apocalyptic number.

231000023100 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 231000023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419796867392).

231000023100 is an abundant number, since it is smaller than the sum of its proper divisors (608593711684).

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

231000023100 is a wasteful number, since it uses less digits than its factorization.

231000023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909137 (or 909119 counting only the distinct ones).

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

Adding to 231000023100 its reverse (1320000132), we get a palindrome (232320023232).

It can be divided in two parts, 2310000 and 23100, that multiplied together give a square (53361000000 = 2310002).

The spelling of 231000023100 in words is "two hundred thirty-one billion, twenty-three thousand, one hundred".