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122423010021 = 32132265730293
BaseRepresentation
bin111001000000011111…
…0101110001011100101
3102200222212111021101100
41302000332232023211
54001210242310041
6132123525550313
711562520262364
oct1620076561345
9380885437340
10122423010021
1147a12663444
121b887275399
13b71019b500
145cd50757db
1532b7a746b6
hex1c80fae2e5

122423010021 has 36 divisors (see below), whose sum is σ = 191560534308. Its totient is φ = 75306396672.

The previous prime is 122423010007. The next prime is 122423010077. The reversal of 122423010021 is 120010324221.

It is a happy number.

122423010021 is a `hidden beast` number, since 122 + 423 + 0 + 100 + 21 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14682168900 + 107740841121 = 121170^2 + 328239^2 .

It is not a de Polignac number, because 122423010021 - 231 = 120275526373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122423009976 and 122423010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122423010091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4026151 + ... + 4056443.

It is an arithmetic number, because the mean of its divisors is an integer number (5321125953).

Almost surely, 2122423010021 is an apocalyptic number.

It is an amenable number.

122423010021 is a deficient number, since it is larger than the sum of its proper divisors (69137524287).

122423010021 is a wasteful number, since it uses less digits than its factorization.

122423010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32982 (or 32966 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122423010021 its reverse (120010324221), we get a palindrome (242433334242).

It can be divided in two parts, 1224230100 and 21, that added together give a square (1224230121 = 349892).

The spelling of 122423010021 in words is "one hundred twenty-two billion, four hundred twenty-three million, ten thousand, twenty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 2657 7971 23913 30293 34541 90879 103623 272637 310869 393809 449033 1181427 1347099 3544281 4041297 5119517 15358551 46075653 80488501 241465503 724396509 1046350513 3139051539 9417154617 13602556669 40807670007 122423010021