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23023132110 = 23251136763367
BaseRepresentation
bin10101011100010010…
…010001110111001110
32012102112002021212200
4111130102101313032
5334122410211420
614324321342330
71443351252066
oct253422216716
965375067780
1023023132110
119844a59a10
1245664979a6
13222bacb0c4
1411859d03a6
158eb37db90
hex55c491dce

23023132110 has 96 divisors (see below), whose sum is σ = 65480942592. Its totient is φ = 5566069440.

The previous prime is 23023132091. The next prime is 23023132117. The reversal of 23023132110 is 1123132032.

23023132110 is a `hidden beast` number, since 2 + 302 + 31 + 321 + 10 = 666.

It is a super-2 number, since 2×230231321102 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23023132117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331647 + ... + 395013.

It is an arithmetic number, because the mean of its divisors is an integer number (682093152).

Almost surely, 223023132110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23023132110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32740471296).

23023132110 is an abundant number, since it is smaller than the sum of its proper divisors (42457810482).

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

23023132110 is a wasteful number, since it uses less digits than its factorization.

23023132110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63758 (or 63755 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23023132110 its reverse (1123132032), we get a palindrome (24146264142).

The spelling of 23023132110 in words is "twenty-three billion, twenty-three million, one hundred thirty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 367 495 734 990 1101 1835 2202 3303 3670 4037 5505 6606 8074 11010 12111 16515 20185 24222 33030 36333 40370 60555 63367 72666 121110 126734 181665 190101 316835 363330 380202 570303 633670 697037 950505 1140606 1394074 1901010 2091111 2851515 3485185 4182222 5703030 6273333 6970370 10455555 12546666 20911110 23255689 31366665 46511378 62733330 69767067 116278445 139534134 209301201 232556890 255812579 348835335 418602402 511625158 697670670 767437737 1046506005 1279062895 1534875474 2093012010 2302313211 2558125790 3837188685 4604626422 7674377370 11511566055 23023132110