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120001200093 = 3229459774713
BaseRepresentation
bin110111111000010100…
…0001111111111011101
3102110202002102120201100
41233300220033333131
53431230301400333
6131043334103313
711445512241135
oct1576050177735
9373662376640
10120001200093
114698a604835
121b3101aab39
13b415517698
145b45579ac5
1531c5141213
hex1bf0a0ffdd

120001200093 has 12 divisors (see below), whose sum is σ = 179312138460. Its totient is φ = 77242151616.

The previous prime is 120001200019. The next prime is 120001200097. The reversal of 120001200093 is 390002100021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 44212211289 + 75788988804 = 210267^2 + 275298^2 .

It is not a de Polignac number, because 120001200093 - 210 = 120001199069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120001200097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229887096 + ... + 229887617.

It is an arithmetic number, because the mean of its divisors is an integer number (14942678205).

Almost surely, 2120001200093 is an apocalyptic number.

It is an amenable number.

120001200093 is a deficient number, since it is larger than the sum of its proper divisors (59310938367).

120001200093 is a wasteful number, since it uses less digits than its factorization.

120001200093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459774748 (or 459774745 counting only the distinct ones).

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

The spelling of 120001200093 in words is "one hundred twenty billion, one million, two hundred thousand, ninety-three".

Divisors: 1 3 9 29 87 261 459774713 1379324139 4137972417 13333466677 40000400031 120001200093