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122002301232097 = 11213295726229377
BaseRepresentation
bin11011101111010111011111…
…110100111010001111100001
3120222222022021010210120212221
4123233113133310322033201
5111442341203103411342
61111251030005151041
734461242520634546
oct3357273764721741
9528868233716787
10122002301232097
11359679814a7800
1211824a439bb481
13530c9c9677c30
14221ad2b3ccbcd
15e1885e699a67
hex6ef5dfd3a3e1

122002301232097 has 24 divisors (see below), whose sum is σ = 144466063230888. Its totient is φ = 102344926801920.

The previous prime is 122002301232017. The next prime is 122002301232113. The reversal of 122002301232097 is 790232103200221.

It can be written as a sum of positive squares in 4 ways, for example, as 1758817049616 + 120243484182481 = 1326204^2 + 10965559^2 .

It is not a de Polignac number, because 122002301232097 - 215 = 122002301199329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122002301232017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8463328 + ... + 17766049.

It is an arithmetic number, because the mean of its divisors is an integer number (6019419301287).

Almost surely, 2122002301232097 is an apocalyptic number.

It is an amenable number.

122002301232097 is a deficient number, since it is larger than the sum of its proper divisors (22463761998791).

122002301232097 is a wasteful number, since it uses less digits than its factorization.

122002301232097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26232369 (or 26232358 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 122002301232097 in words is "one hundred twenty-two trillion, two billion, three hundred one million, two hundred thirty-two thousand, ninety-seven".

Divisors: 1 11 13 121 143 1573 2957 32527 38441 357797 422851 4651361 26229377 288523147 340981901 3173754617 3750800911 41258810021 77560267789 853162945679 1008283481257 9384792402469 11091118293827 122002301232097