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2120062416329 = 1113149571174257
BaseRepresentation
bin11110110110011101100…
…100010011010111001001
321111200020210110112120102
4132312131210103113021
5234213341434310304
64301535423135145
7306112060130204
oct36663544232711
97450223415512
102120062416329
11748127a67250
122a2a707444b5
13124bc8663480
147487c20293b
153a2336b1d1e
hex1ed9d9135c9

2120062416329 has 32 divisors (see below), whose sum is σ = 2511824515200. Its totient is φ = 1764028339200.

The previous prime is 2120062416313. The next prime is 2120062416371. The reversal of 2120062416329 is 9236142600212.

It is a cyclic number.

It is not a de Polignac number, because 2120062416329 - 24 = 2120062416313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120062416292 and 2120062416301.

It is not an unprimeable number, because it can be changed into a prime (2120062416229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12079169 + ... + 12253425.

It is an arithmetic number, because the mean of its divisors is an integer number (78494516100).

Almost surely, 22120062416329 is an apocalyptic number.

It is an amenable number.

2120062416329 is a deficient number, since it is larger than the sum of its proper divisors (391762098871).

2120062416329 is a wasteful number, since it uses less digits than its factorization.

2120062416329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175001.

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 2120062416329 in words is "two trillion, one hundred twenty billion, sixty-two million, four hundred sixteen thousand, three hundred twenty-nine".

Divisors: 1 11 13 143 149 571 1639 1937 6281 7423 21307 81653 85079 174257 935869 1106027 1916827 2265341 12166297 24918751 25964293 99500747 285607223 337535809 1094508217 1293509711 3712893899 14228606821 14825611303 163081724333 192732946939 2120062416329