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2122023103101 = 331119219791853
BaseRepresentation
bin11110111000010010011…
…011101110101001111101
321111212022102211202012000
4132320102123232221331
5234231400403244401
64302502143332513
7306211465524156
oct36702233565175
97455272752160
102122023103101
11748a437a2240
122a33192b1139
1312514b924765
14749c678692d
153a2ea8ab186
hex1ee126eea7d

2122023103101 has 48 divisors (see below), whose sum is σ = 3619534259520. Its totient is φ = 1218386409120.

The previous prime is 2122023103099. The next prime is 2122023103129. The reversal of 2122023103101 is 1013013202212.

2122023103101 is a `hidden beast` number, since 2 + 122 + 0 + 231 + 0 + 310 + 1 = 666.

It is not a de Polignac number, because 2122023103101 - 21 = 2122023103099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122023103141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9788710 + ... + 10003143.

It is an arithmetic number, because the mean of its divisors is an integer number (75406963740).

Almost surely, 22122023103101 is an apocalyptic number.

It is an amenable number.

2122023103101 is a deficient number, since it is larger than the sum of its proper divisors (1497511156419).

2122023103101 is a wasteful number, since it uses less digits than its factorization.

2122023103101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19791911 (or 19791886 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2122023103101 its reverse (1013013202212), we get a palindrome (3135036305313).

The spelling of 2122023103101 in words is "two trillion, one hundred twenty-two billion, twenty-three million, one hundred three thousand, one hundred one".

Divisors: 1 3 9 11 19 27 33 57 99 171 209 297 361 513 627 1083 1881 3249 3971 5643 9747 11913 35739 107217 19791853 59375559 178126677 217710383 376045207 534380031 653131149 1128135621 1959393447 3384406863 4136497277 5878180341 7144858933 10153220589 12409491831 21434576799 37228475493 64303730397 78593448263 111685426479 192911191191 235780344789 707341034367 2122023103101