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10025415330 = 2357353135241
BaseRepresentation
bin10010101011000111…
…11011001010100010
3221212200120212101220
421111203323022202
5131013001242310
64334451235510
7503303424060
oct112543731242
927780525356
1010025415330
1142850a3a17
121b395a8b96
13c3a048728
146b169b030
153da22d670
hex2558fb2a2

10025415330 has 64 divisors (see below), whose sum is σ = 27576384768. Its totient is φ = 2285015040.

The previous prime is 10025415313. The next prime is 10025415347. The reversal of 10025415330 is 3351452001.

10025415330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10025415313) and next prime (10025415347).

It is a self number, because there is not a number n which added to its sum of digits gives 10025415330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6510 + ... + 141750.

It is an arithmetic number, because the mean of its divisors is an integer number (430881012).

Almost surely, 210025415330 is an apocalyptic number.

10025415330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10025415330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13788192384).

10025415330 is an abundant number, since it is smaller than the sum of its proper divisors (17550969438).

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

10025415330 is a wasteful number, since it uses less digits than its factorization.

10025415330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135611.

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 10025415330 its reverse (3351452001), we get a palindrome (13376867331).

The spelling of 10025415330 in words is "ten billion, twenty-five million, four hundred fifteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 353 706 1059 1765 2118 2471 3530 4942 5295 7413 10590 12355 14826 24710 37065 74130 135241 270482 405723 676205 811446 946687 1352410 1893374 2028615 2840061 4057230 4733435 5680122 9466870 14200305 28400610 47740073 95480146 143220219 238700365 286440438 334180511 477400730 668361022 716101095 1002541533 1432202190 1670902555 2005083066 3341805110 5012707665 10025415330