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23132203100 = 2252319118191
BaseRepresentation
bin10101100010110010…
…010110100001011100
32012201010022200010222
4111202302112201130
5334333320444400
614343215220512
71446144324236
oct254262264134
965633280128
1023132203100
1198a0586626
124596b17738
132248599656
1411962a3256
15905c26185
hex562c9685c

23132203100 has 72 divisors (see below), whose sum is σ = 51879346176. Its totient is φ = 8943480000.

The previous prime is 23132203099. The next prime is 23132203109. The reversal of 23132203100 is 130223132.

It is a super-2 number, since 2×231322031002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132203109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2820005 + ... + 2828195.

Almost surely, 223132203100 is an apocalyptic number.

23132203100 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 23132203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25939673088).

23132203100 is an abundant number, since it is smaller than the sum of its proper divisors (28747143076).

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

23132203100 is a wasteful number, since it uses less digits than its factorization.

23132203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9147 (or 9140 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 23132203100 its reverse (130223132), we get a palindrome (23262426232).

The spelling of 23132203100 in words is "twenty-three billion, one hundred thirty-two million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 911 1550 1822 3100 3644 4555 8191 9110 16382 18220 22775 28241 32764 40955 45550 56482 81910 91100 112964 141205 163820 204775 253921 282410 409550 507842 564820 706025 819100 1015684 1269605 1412050 2539210 2824100 5078420 6348025 7462001 12696050 14924002 25392100 29848004 37310005 74620010 149240020 186550025 231322031 373100050 462644062 746200100 925288124 1156610155 2313220310 4626440620 5783050775 11566101550 23132203100