Search a number
-
+
10122322100 = 22521170912979
BaseRepresentation
bin10010110110101011…
…00110000010110100
3222010102221020111112
421123111212002310
5131212303301400
64352232254152
7505561214102
oct113325460264
928112836445
1010122322100
114324872460
121b65b41358
13c54148307
146c04c4c72
153e39c1835
hex25b5660b4

10122322100 has 72 divisors (see below), whose sum is σ = 23997943200. Its totient is φ = 3675369600.

The previous prime is 10122322099. The next prime is 10122322109. The reversal of 10122322100 is 122322101.

It is a happy number.

It is a super-2 number, since 2×101223221002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122322109) 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, 773411 + ... + 786389.

Almost surely, 210122322100 is an apocalyptic number.

10122322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11998971600).

10122322100 is an abundant number, since it is smaller than the sum of its proper divisors (13875621100).

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

10122322100 is a wasteful number, since it uses less digits than its factorization.

10122322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13713 (or 13706 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10122322100 its reverse (122322101), we get a palindrome (10244644201).

Subtracting from 10122322100 its reverse (122322101), we obtain a palindrome (9999999999).

The spelling of 10122322100 in words is "ten billion, one hundred twenty-two million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 709 1100 1418 2836 3545 7090 7799 12979 14180 15598 17725 25958 31196 35450 38995 51916 64895 70900 77990 129790 142769 155980 194975 259580 285538 324475 389950 571076 648950 713845 779900 1297900 1427690 2855380 3569225 7138450 9202111 14276900 18404222 36808444 46010555 92021110 101223221 184042220 202446442 230052775 404892884 460105550 506116105 920211100 1012232210 2024464420 2530580525 5061161050 10122322100