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123201132211101 = 3759413324059023
BaseRepresentation
bin11100000000110011111111…
…101110001010101110011101
3121011012220122201210021112110
4130000303333232022232131
5112122011404321223401
61114005452505424233
734643662623056250
oct3400637756125635
9534186581707473
10123201132211101
113628a34131703a
1211999255a9b079
135398a809c6c29
14225cd7656d097
15e39b269189d6
hex700cffb8ab9d

123201132211101 has 32 divisors (see below), whose sum is σ = 190963210014720. Its totient is φ = 69190667717184.

The previous prime is 123201132211081. The next prime is 123201132211103. The reversal of 123201132211101 is 101112231102321.

It is not a de Polignac number, because 123201132211101 - 226 = 123201065102237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123201132211103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6908725 + ... + 17150298.

It is an arithmetic number, because the mean of its divisors is an integer number (5967600312960).

Almost surely, 2123201132211101 is an apocalyptic number.

It is an amenable number.

123201132211101 is a deficient number, since it is larger than the sum of its proper divisors (67762077803619).

123201132211101 is a wasteful number, since it uses less digits than its factorization.

123201132211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24063225.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 123201132211101 its reverse (101112231102321), we get a palindrome (224313363313422).

The spelling of 123201132211101 in words is "one hundred twenty-three trillion, two hundred one billion, one hundred thirty-two million, two hundred eleven thousand, one hundred one".

Divisors: 1 3 7 21 59 177 413 1239 4133 12399 28931 86793 243847 731541 1706929 5120787 24059023 72177069 168413161 505239483 1419482357 4258447071 9936376499 29809129497 99435942059 298307826177 696051594413 2088154783239 5866720581481 17600161744443 41067044070367 123201132211101