Search a number
-
+
10009103972 = 227252198017
BaseRepresentation
bin10010101001001011…
…01100111001100100
3221211112220011102112
421110211230321210
5130444312311342
64333105500152
7503014660100
oct112445547144
927745804375
1010009103972
114276972a5a
121b34041658
13c3685723a
146ad452900
153d8aaa682
hex25496ce64

10009103972 has 36 divisors (see below), whose sum is σ = 20414993004. Its totient is φ = 4281338880.

The previous prime is 10009103971. The next prime is 10009103981. The reversal of 10009103972 is 27930190001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6648119296 + 3360984676 = 81536^2 + 57974^2 .

It is not an unprimeable number, because it can be changed into a prime (10009103971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53108 + ... + 151124.

It is an arithmetic number, because the mean of its divisors is an integer number (567083139).

Almost surely, 210009103972 is an apocalyptic number.

It is an amenable number.

10009103972 is an abundant number, since it is smaller than the sum of its proper divisors (10405889032).

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

10009103972 is a wasteful number, since it uses less digits than its factorization.

10009103972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98556 (or 98547 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

Adding to 10009103972 its reverse (27930190001), we get a palindrome (37939293973).

The spelling of 10009103972 in words is "ten billion, nine million, one hundred three thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 98 196 521 1042 2084 3647 7294 14588 25529 51058 98017 102116 196034 392068 686119 1372238 2744476 4802833 9605666 19211332 51066857 102133714 204267428 357467999 714935998 1429871996 2502275993 5004551986 10009103972