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123011133201 = 32113140081829
BaseRepresentation
bin111001010010000001…
…0001110111100010001
3102202111212011000201100
41302210002032330101
54003411322230301
6132302135255013
711613221244255
oct1624402167421
9382455130640
10123011133201
114819463a060
121ba1021a469
13b7a4c991a8
145d4d20a265
1532ee4e8286
hex1ca408ef11

123011133201 has 24 divisors (see below), whose sum is σ = 200088495360. Its totient is φ = 72147290400.

The previous prime is 123011133053. The next prime is 123011133233. The reversal of 123011133201 is 102331110321.

123011133201 is a `hidden beast` number, since 1 + 230 + 1 + 113 + 320 + 1 = 666.

It is not a de Polignac number, because 123011133201 - 210 = 123011132177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123011133001) 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, 20037846 + ... + 20043983.

It is an arithmetic number, because the mean of its divisors is an integer number (8337020640).

Almost surely, 2123011133201 is an apocalyptic number.

123011133201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123011133201 is a deficient number, since it is larger than the sum of its proper divisors (77077362159).

123011133201 is a wasteful number, since it uses less digits than its factorization.

123011133201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40081877 (or 40081874 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123011133201 its reverse (102331110321), we get a palindrome (225342243522).

The spelling of 123011133201 in words is "one hundred twenty-three billion, eleven million, one hundred thirty-three thousand, two hundred one".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 40081829 120245487 360736461 440900119 1242536699 1322700357 3727610097 3968101071 11182830291 13667903689 41003711067 123011133201