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122300442431 = 374770328029
BaseRepresentation
bin111000111100110101…
…1001010011100111111
3102200200022212012020222
41301321223022130333
54000432403124211
6132103430531555
711556501415436
oct1617153123477
9380608765228
10122300442431
114795a458612
121b852206bbb
13b6c09859cb
145cc2a8c11d
1532abe131db
hex1c79aca73f

122300442431 has 8 divisors (see below), whose sum is σ = 128278326720. Its totient is φ = 116463214368.

The previous prime is 122300442409. The next prime is 122300442437. The reversal of 122300442431 is 134244003221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122300442431 - 26 = 122300442367 is a prime.

It is a super-2 number, since 2×1223004424312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122300442431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122300442437) 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 7 ways as a sum of consecutive naturals, for example, 35162276 + ... + 35165753.

It is an arithmetic number, because the mean of its divisors is an integer number (16034790840).

Almost surely, 2122300442431 is an apocalyptic number.

122300442431 is a deficient number, since it is larger than the sum of its proper divisors (5977884289).

122300442431 is an equidigital number, since it uses as much as digits as its factorization.

122300442431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70328113.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 122300442431 its reverse (134244003221), we get a palindrome (256544445652).

The spelling of 122300442431 in words is "one hundred twenty-two billion, three hundred million, four hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 37 47 1739 70328029 2602137073 3305417363 122300442431