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122420444444341 = 17532116221103511
BaseRepresentation
bin11011110101011100111011…
…000110101011011010110101
3121001110021120021000122011121
4123311130323012223122311
5112021214032234204331
61112211101545303541
734533404510410231
oct3365347306533265
9531407507018147
10122420444444341
1136009245437a8a
1211891a9b194bb1
135340276aaa004
14223327701b5c1
15e24683cd9c11
hex6f573b1ab6b5

122420444444341 has 32 divisors (see below), whose sum is σ = 132715862090496. Its totient is φ = 112490361984000.

The previous prime is 122420444444329. The next prime is 122420444444357. The reversal of 122420444444341 is 143444444024221.

It is a cyclic number.

It is not a de Polignac number, because 122420444444341 - 27 = 122420444444213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122420444444381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182628776 + ... + 1182732286.

It is an arithmetic number, because the mean of its divisors is an integer number (4147370690328).

Almost surely, 2122420444444341 is an apocalyptic number.

It is an amenable number.

122420444444341 is a deficient number, since it is larger than the sum of its proper divisors (10295417646155).

122420444444341 is a wasteful number, since it uses less digits than its factorization.

122420444444341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110013.

The product of its (nonzero) digits is 1572864, while the sum is 43.

Adding to 122420444444341 its reverse (143444444024221), we get a palindrome (265864888468562).

The spelling of 122420444444341 in words is "one hundred twenty-two trillion, four hundred twenty billion, four hundred forty-four million, four hundred forty-four thousand, three hundred forty-one".

Divisors: 1 17 53 211 901 3587 6221 11183 103511 105757 190111 329713 1312631 1759687 5486083 5605121 21840821 22314727 69569443 93263411 371293957 643941931 1157563513 1182680531 10947012827 19678579721 34128922343 135871747441 580191679831 2309819706497 7201202614373 122420444444341