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122352044121431 = 1943231710986553
BaseRepresentation
bin11011110100011101001110…
…001000001001110101010111
3121001012202000022202012201122
4123310131032020021311113
5112014103441243341211
61112115430401114155
734525433466304205
oct3364351610116527
9531182008665648
10122352044121431
1135a92235216aa3
121188079002895b
135336995bb4467
14222dc28a54075
15e229cdd626db
hex6f474e209d57

122352044121431 has 24 divisors (see below), whose sum is σ = 132272397151920. Its totient is φ = 112859663043456.

The previous prime is 122352044121409. The next prime is 122352044121449. The reversal of 122352044121431 is 134121440253221.

It is not a de Polignac number, because 122352044121431 - 26 = 122352044121367 is a prime.

It is a super-2 number, since 2×1223520441214312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122352044121391 and 122352044121400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122352044171431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5643251 + ... + 16629803.

It is an arithmetic number, because the mean of its divisors is an integer number (5511349881330).

Almost surely, 2122352044121431 is an apocalyptic number.

122352044121431 is a deficient number, since it is larger than the sum of its proper divisors (9920353030489).

122352044121431 is a wasteful number, since it uses less digits than its factorization.

122352044121431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10986975 (or 10986932 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 122352044121431 its reverse (134121440253221), we get a palindrome (256473484374652).

The spelling of 122352044121431 in words is "one hundred twenty-two trillion, three hundred fifty-two billion, forty-four million, one hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 19 43 317 817 1849 6023 13631 35131 258989 586133 10986553 11136527 208744507 472421779 3482737301 8976013801 20314136497 66172008719 149757703943 385968593443 2845396374917 6439581269549 122352044121431