Search a number
-
+
10041040098 = 234292137301
BaseRepresentation
bin10010101100111111…
…00001110011100010
3221220202222200120000
421112133201303202
5131031001240343
64340210200430
7503553301245
oct112637416342
927822880500
1010041040098
1142929a6051
121b42883116
13c4035955b
146b37a725c
153db7b7ed3
hex2567e1ce2

10041040098 has 40 divisors (see below), whose sum is σ = 23275218780. Its totient is φ = 3231597600.

The previous prime is 10041040073. The next prime is 10041040109. The reversal of 10041040098 is 89004014001.

It can be written as a sum of positive squares in 2 ways, for example, as 10010602809 + 30437289 = 100053^2 + 5517^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1063953 + ... + 1073348.

Almost surely, 210041040098 is an apocalyptic number.

10041040098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10041040098 is an abundant number, since it is smaller than the sum of its proper divisors (13234178682).

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

10041040098 is a wasteful number, since it uses less digits than its factorization.

10041040098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137344 (or 2137335 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 10041040098 its reverse (89004014001), we get a palindrome (99045054099).

The spelling of 10041040098 in words is "ten billion, forty-one million, forty thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 4698 2137301 4274602 6411903 12823806 19235709 38471418 57707127 61981729 115414254 123963458 173121381 185945187 346242762 371890374 557835561 1115671122 1673506683 3347013366 5020520049 10041040098