Search a number
-
+
10022015045140 = 22571965311035231
BaseRepresentation
bin1001000111010110111010…
…1001011000111000010100
31022111002120110102102100121
42101311232221120320110
52303200041322421030
633152014455521324
72053031606214340
oct221655651307024
938432513372317
1010022015045140
1132143492462aa
12115a400689244
135790c2147557
142690d4ca8620
15125a67a4447a
hex91d6ea58e14

10022015045140 has 192 divisors, whose sum is σ = 25385389424640. Its totient is φ = 3246718394880.

The previous prime is 10022015045099. The next prime is 10022015045143. The reversal of 10022015045140 is 4154051022001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022015045143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1915886325 + ... + 1915891555.

It is an arithmetic number, because the mean of its divisors is an integer number (132215569920).

Almost surely, 210022015045140 is an apocalyptic number.

10022015045140 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 10022015045140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12692694712320).

10022015045140 is an abundant number, since it is smaller than the sum of its proper divisors (15363374379500).

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

10022015045140 is a wasteful number, since it uses less digits than its factorization.

10022015045140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022 (or 7020 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 10022015045140 its reverse (4154051022001), we get a palindrome (14176066067141).

The spelling of 10022015045140 in words is "ten trillion, twenty-two billion, fifteen million, forty-five thousand, one hundred forty".