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101232332001 = 32293710482793
BaseRepresentation
bin101111001000111101…
…0101100110011100001
3100200022001111021221200
41132101322230303201
53124310434111001
6114301104111413
710212426424113
oct1362172546341
9320261437850
10101232332001
1139a290153a9
1217752605569
139713c14488
144c849a93b3
152977510086
hex1791eacce1

101232332001 has 24 divisors (see below), whose sum is σ = 155355007080. Its totient is φ = 63399926016.

The previous prime is 101232331979. The next prime is 101232332011. The reversal of 101232332001 is 100233232101.

101232332001 is a `hidden beast` number, since 10 + 12 + 323 + 320 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72060033600 + 29172298401 = 268440^2 + 170799^2 .

It is not a de Polignac number, because 101232332001 - 210 = 101232330977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101232332011) 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, 5231740 + ... + 5251053.

It is an arithmetic number, because the mean of its divisors is an integer number (6473125295).

Almost surely, 2101232332001 is an apocalyptic number.

It is an amenable number.

101232332001 is a deficient number, since it is larger than the sum of its proper divisors (54122675079).

101232332001 is a wasteful number, since it uses less digits than its factorization.

101232332001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10482865 (or 10482862 counting only the distinct ones).

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

Adding to 101232332001 its reverse (100233232101), we get a palindrome (201465564102).

The spelling of 101232332001 in words is "one hundred one billion, two hundred thirty-two million, three hundred thirty-two thousand, one".

Divisors: 1 3 9 29 37 87 111 261 333 1073 3219 9657 10482793 31448379 94345137 304000997 387863341 912002991 1163590023 2736008973 3490770069 11248036889 33744110667 101232332001