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10122332011233 = 313269396378379
BaseRepresentation
bin1001001101001100101000…
…0000001111101011100001
31022211200111201111022100020
42103103022000033223201
52311321013443324413
633310045104344053
72063212552314261
oct223231200175341
938750451438306
1010122332011233
113252947593752
121175938615029
135856bb5152a0
1426dcd00777a1
151284899dec23
hex934ca00fae1

10122332011233 has 16 divisors (see below), whose sum is σ = 14540027920320. Its totient is φ = 6226814245824.

The previous prime is 10122332011217. The next prime is 10122332011241. The reversal of 10122332011233 is 33211023322101.

It is not a de Polignac number, because 10122332011233 - 24 = 10122332011217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122332011933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48084163 + ... + 48294216.

It is an arithmetic number, because the mean of its divisors is an integer number (908751745020).

Almost surely, 210122332011233 is an apocalyptic number.

10122332011233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10122332011233 is a deficient number, since it is larger than the sum of its proper divisors (4417695909087).

10122332011233 is a wasteful number, since it uses less digits than its factorization.

10122332011233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96381088.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10122332011233 its reverse (33211023322101), we get a palindrome (43333355333334).

The spelling of 10122332011233 in words is "ten trillion, one hundred twenty-two billion, three hundred thirty-two million, eleven thousand, two hundred thirty-three".

Divisors: 1 3 13 39 2693 8079 35009 105027 96378379 289135137 1252918927 3758756781 259546974647 778640923941 3374110670411 10122332011233