Search a number
-
+
10107010737 = 334113766643
BaseRepresentation
bin10010110100110110…
…01011111010110001
3222002101010100021000
421122123023322301
5131144343320422
64350524152213
7505314113415
oct113233137261
928071110230
1010107010737
11431716483a
121b60998669
13c50c17035
146bc45ad45
153e2499cac
hex25a6cbeb1

10107010737 has 32 divisors (see below), whose sum is σ = 15450744960. Its totient is φ = 6525584640.

The previous prime is 10107010733. The next prime is 10107010741. The reversal of 10107010737 is 73701070101.

It is an interprime number because it is at equal distance from previous prime (10107010733) and next prime (10107010741).

It is not a de Polignac number, because 10107010737 - 22 = 10107010733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10107010737.

It is not an unprimeable number, because it can be changed into a prime (10107010733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118338 + ... + 184980.

It is an arithmetic number, because the mean of its divisors is an integer number (482835780).

Almost surely, 210107010737 is an apocalyptic number.

It is an amenable number.

10107010737 is a deficient number, since it is larger than the sum of its proper divisors (5343734223).

10107010737 is a wasteful number, since it uses less digits than its factorization.

10107010737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66830 (or 66824 counting only the distinct ones).

The product of its (nonzero) digits is 1029, while the sum is 27.

Adding to 10107010737 its reverse (73701070101), we get a palindrome (83808080838).

The spelling of 10107010737 in words is "ten billion, one hundred seven million, ten thousand, seven hundred thirty-seven".

Divisors: 1 3 9 27 41 123 137 369 411 1107 1233 3699 5617 16851 50553 66643 151659 199929 599787 1799361 2732363 8197089 9130091 24591267 27390273 73773801 82170819 246512457 374333731 1123001193 3369003579 10107010737