Search a number
-
+
10154221056 = 293272313687
BaseRepresentation
bin10010111010011110…
…10001111000000000
3222012122221212122100
421131033101320000
5131243440033211
64355332110400
7506426312010
oct113517217000
928178855570
1010154221056
11434087a631
121b74765400
13c5a936735
146c4829c40
153e66c3156
hex25d3d1e00

10154221056 has 240 divisors, whose sum is σ = 34951048704. Its totient is φ = 2774863872.

The previous prime is 10154221039. The next prime is 10154221061. The reversal of 10154221056 is 65012245101.

10154221056 is a `hidden beast` number, since 10 + 1 + 542 + 2 + 105 + 6 = 666.

It is a super-2 number, since 2×101542210562 (a number of 21 digits) contains 22 as substring.

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, 735045 + ... + 748731.

Almost surely, 210154221056 is an apocalyptic number.

10154221056 is a gapful number since it is divisible by the number (16) 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 10154221056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17475524352).

10154221056 is an abundant number, since it is smaller than the sum of its proper divisors (24796827648).

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

10154221056 is a wasteful number, since it uses less digits than its factorization.

10154221056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13741 (or 13722 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10154221056 its reverse (65012245101), we get a palindrome (75166466157).

The spelling of 10154221056 in words is "ten billion, one hundred fifty-four million, two hundred twenty-one thousand, fifty-six".