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23132301000 = 233537710767
BaseRepresentation
bin10101100010110010…
…101110011011001000
32012201010111122102220
4111202302232123020
5334333332113000
614343221254040
71446145212534
oct254262563310
965633448386
1023132301000
1198a0643136
124596b64320
132248602093
1411962cabc4
15905c451a0
hex562cae6c8

23132301000 has 64 divisors (see below), whose sum is σ = 72172788480. Its totient is φ = 6168612800.

The previous prime is 23132300993. The next prime is 23132301007. The reversal of 23132301000 is 10323132.

It is an interprime number because it is at equal distance from previous prime (23132300993) and next prime (23132301007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (23132301007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3852384 + ... + 3858383.

It is an arithmetic number, because the mean of its divisors is an integer number (1127699820).

Almost surely, 223132301000 is an apocalyptic number.

23132301000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23132301000 is an abundant number, since it is smaller than the sum of its proper divisors (49040487480).

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

23132301000 is a wasteful number, since it uses less digits than its factorization.

23132301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7710791 (or 7710777 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23132301000 its reverse (10323132), we get a palindrome (23142624132).

The spelling of 23132301000 in words is "twenty-three billion, one hundred thirty-two million, three hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 7710767 15421534 23132301 30843068 38553835 46264602 61686136 77107670 92529204 115661505 154215340 185058408 192769175 231323010 308430680 385538350 462646020 578307525 771076700 925292040 963845875 1156615050 1542153400 1927691750 2313230100 2891537625 3855383500 4626460200 5783075250 7710767000 11566150500 23132301000