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10122434322 = 237112133741101
BaseRepresentation
bin10010110110101100…
…00001011100010010
3222010110010221102220
421123112001130102
5131212320344242
64352234521510
7505562162220
oct113326013422
928113127386
1010122434322
114324939800
121b65b96296
13c54187410
146c0513b10
153e39e4bec
hex25b581712

10122434322 has 384 divisors, whose sum is σ = 29099395584. Its totient is φ = 2280960000.

The previous prime is 10122434317. The next prime is 10122434341. The reversal of 10122434322 is 22343422101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10122434292 and 10122434301.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100222072 + ... + 100222172.

It is an arithmetic number, because the mean of its divisors is an integer number (75779676).

Almost surely, 210122434322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122434322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14549697792).

10122434322 is an abundant number, since it is smaller than the sum of its proper divisors (18976961262).

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

10122434322 is a wasteful number, since it uses less digits than its factorization.

10122434322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10122434322 its reverse (22343422101), we get a palindrome (32465856423).

It can be divided in two parts, 10122 and 434322, that added together give a palindrome (444444).

The spelling of 10122434322 in words is "ten billion, one hundred twenty-two million, four hundred thirty-four thousand, three hundred twenty-two".