Search a number
-
+
10130200224 = 253234587953
BaseRepresentation
bin10010110111100111…
…01001011010100000
3222010222202111020220
421123303221122200
5131221312401344
64353113203040
7506015165304
oct113363513240
928128674226
1010130200224
114329263401
121b68700480
13c55976121
146c1575d04
153e452ac19
hex25bce96a0

10130200224 has 48 divisors (see below), whose sum is σ = 27747945792. Its totient is φ = 3229918208.

The previous prime is 10130200211. The next prime is 10130200259. The reversal of 10130200224 is 42200203101.

10130200224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 2291769 + ... + 2296184.

It is an arithmetic number, because the mean of its divisors is an integer number (578082204).

Almost surely, 210130200224 is an apocalyptic number.

It is an amenable number.

10130200224 is an abundant number, since it is smaller than the sum of its proper divisors (17617745568).

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

10130200224 is a wasteful number, since it uses less digits than its factorization.

10130200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587989 (or 4587981 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10130200224 its reverse (42200203101), we get a palindrome (52330403325).

The spelling of 10130200224 in words is "ten billion, one hundred thirty million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 4587953 9175906 13763859 18351812 27527718 36703624 55055436 73407248 105522919 110110872 146814496 211045838 220221744 316568757 422091676 440443488 633137514 844183352 1266275028 1688366704 2532550056 3376733408 5065100112 10130200224