Search a number
-
+
10220322112 = 2671121314503
BaseRepresentation
bin10011000010010110…
…11011110101000000
3222101021100011020121
421201023123311000
5131412400301422
64410052550024
7511161206320
oct114113336500
928337304217
1010220322112
114375118300
121b92922314
13c6b53b6a0
146cd515280
153ec3cd8c7
hex2612dbd40

10220322112 has 168 divisors, whose sum is σ = 27438551168. Its totient is φ = 3675386880.

The previous prime is 10220322097. The next prime is 10220322127. The reversal of 10220322112 is 21122302201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10220322097) and next prime (10220322127).

It is a super-2 number, since 2×102203221122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697453 + ... + 711955.

Almost surely, 210220322112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13719275584).

10220322112 is an abundant number, since it is smaller than the sum of its proper divisors (17218229056).

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

10220322112 is a wasteful number, since it uses less digits than its factorization.

10220322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14557 (or 14536 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10220322112 its reverse (21122302201), we get a palindrome (31342624313).

It can be divided in two parts, 1022032 and 2112, that added together give a square (1024144 = 10122).

The spelling of 10220322112 in words is "ten billion, two hundred twenty million, three hundred twenty-two thousand, one hundred twelve".