Search a number
-
+
10214325024 = 253234626053
BaseRepresentation
bin10011000001101001…
…00011101100100000
3222100212001110210020
421200310203230200
5131404331400044
64405320233440
7511056221151
oct114064435440
928325043706
1010214325024
1143717a1632
121b9090b880
13c6a21bb07
146cc7d3928
153ebae6a19
hex260d23b20

10214325024 has 48 divisors (see below), whose sum is σ = 27978374592. Its totient is φ = 3256740608.

The previous prime is 10214324983. The next prime is 10214325091. The reversal of 10214325024 is 42052341201.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10214324985 and 10214325003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2310819 + ... + 2315234.

It is an arithmetic number, because the mean of its divisors is an integer number (582882804).

Almost surely, 210214325024 is an apocalyptic number.

It is an amenable number.

10214325024 is an abundant number, since it is smaller than the sum of its proper divisors (17764049568).

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

10214325024 is a wasteful number, since it uses less digits than its factorization.

10214325024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626089 (or 4626081 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10214325024 its reverse (42052341201), we get a palindrome (52266666225).

The spelling of 10214325024 in words is "ten billion, two hundred fourteen million, three hundred twenty-five thousand, 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 4626053 9252106 13878159 18504212 27756318 37008424 55512636 74016848 106399219 111025272 148033696 212798438 222050544 319197657 425596876 444101088 638395314 851193752 1276790628 1702387504 2553581256 3404775008 5107162512 10214325024