Search a number
-
+
1038101157 = 33198292441
BaseRepresentation
bin111101111000000…
…010101010100101
32200100101000002000
4331320002222211
54111223214112
6251002035513
734503466662
oct7570025245
92610330060
101038101157
11492a87845
1224b7a8b99
131370ba652
149bc28a69
156120a7dc
hex3de02aa5

1038101157 has 32 divisors (see below), whose sum is σ = 1621488000. Its totient is φ = 654583680.

The previous prime is 1038101147. The next prime is 1038101171. The reversal of 1038101157 is 7511018301.

1038101157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1038101157 - 26 = 1038101093 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 1038101157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038101147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424057 + ... + 426497.

It is an arithmetic number, because the mean of its divisors is an integer number (50671500).

Almost surely, 21038101157 is an apocalyptic number.

It is an amenable number.

1038101157 is a deficient number, since it is larger than the sum of its proper divisors (583386843).

1038101157 is a wasteful number, since it uses less digits than its factorization.

1038101157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The square root of 1038101157 is about 32219.5772318632. The cubic root of 1038101157 is about 1012.5424157814.

Adding to 1038101157 its reverse (7511018301), we get a palindrome (8549119458).

The spelling of 1038101157 in words is "one billion, thirty-eight million, one hundred one thousand, one hundred fifty-seven".

Divisors: 1 3 9 19 27 57 171 513 829 2441 2487 7323 7461 15751 21969 22383 46379 47253 65907 139137 141759 417411 425277 1252233 2023589 6070767 18212301 38448191 54636903 115344573 346033719 1038101157