Search a number
-
+
10000120272 = 2431304315973
BaseRepresentation
bin10010101000000110…
…11011100111010000
3221210220222202002220
421110003123213100
5130440012322042
64332145141040
7502545422412
oct112403334720
927726882086
1010000120272
11427189740a
121b3102a780
13c34a3013c
146ac1949b2
153d7dd38ec
hex2540db9d0

10000120272 has 40 divisors (see below), whose sum is σ = 25837242144. Its totient is φ = 3332909184.

The previous prime is 10000120271. The next prime is 10000120303. The reversal of 10000120272 is 27202100001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000120271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 618078 + ... + 634050.

Almost surely, 210000120272 is an apocalyptic number.

10000120272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000120272 is an abundant number, since it is smaller than the sum of its proper divisors (15837121872).

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

10000120272 is a wasteful number, since it uses less digits than its factorization.

10000120272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29027 (or 29021 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

Adding to 10000120272 its reverse (27202100001), we get a palindrome (37202220273).

The spelling of 10000120272 in words is "ten billion, one hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 13043 15973 26086 31946 39129 47919 52172 63892 78258 95838 104344 127784 156516 191676 208688 255568 313032 383352 626064 766704 208335839 416671678 625007517 833343356 1250015034 1666686712 2500030068 3333373424 5000060136 10000120272