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10431112122 = 2342313732039
BaseRepresentation
bin10011011011011111…
…00010001110111010
3222220221222101210000
421231233202032322
5132330331041442
64443022533430
7516330663414
oct115557421672
928827871700
1010431112122
1144730aaa22
122031437276
13ca3102cc2
1470d5059b4
15410b69d4c
hex26dbe23ba

10431112122 has 80 divisors (see below), whose sum is σ = 24419387520. Its totient is φ = 3321809568.

The previous prime is 10431112117. The next prime is 10431112171. The reversal of 10431112122 is 22121113401.

10431112122 is a `hidden beast` number, since 1 + 0 + 431 + 112 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10431112095 and 10431112104.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5114779 + ... + 5116817.

It is an arithmetic number, because the mean of its divisors is an integer number (305242344).

Almost surely, 210431112122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10431112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12209693760).

10431112122 is an abundant number, since it is smaller than the sum of its proper divisors (13988275398).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10431112122 is a wasteful number, since it uses less digits than its factorization.

10431112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10431112122 its reverse (22121113401), we get a palindrome (32552225523).

The spelling of 10431112122 in words is "ten billion, four hundred thirty-one million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1242 1373 1863 2039 2746 3726 4078 4119 6117 8238 12234 12357 18351 24714 31579 36702 37071 46897 55053 63158 74142 93794 94737 110106 111213 140691 165159 189474 222426 281382 284211 330318 422073 568422 844146 852633 1266219 1705266 2532438 2557899 2799547 3798657 5115798 5599094 7597314 8398641 16797282 25195923 50391846 64389581 75587769 128779162 151175538 193168743 226763307 386337486 453526614 579506229 1159012458 1738518687 3477037374 5215556061 10431112122