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10042114096 = 247212808819
BaseRepresentation
bin10010101101000111…
…01000000000110000
3221220212000020210201
421112203220000300
5131031240122341
64340245204544
7503565363400
oct112643500060
927825006721
1010042114096
114293569a53
121b43100754
13c40644361
146b39a6800
153db92b331
hex2568e8030

10042114096 has 30 divisors (see below), whose sum is σ = 22633184940. Its totient is φ = 4303762848.

The previous prime is 10042114067. The next prime is 10042114097. The reversal of 10042114096 is 69041124001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10042114097) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6403626 + ... + 6405193.

It is an arithmetic number, because the mean of its divisors is an integer number (754439498).

Almost surely, 210042114096 is an apocalyptic number.

10042114096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10042114096 is an abundant number, since it is smaller than the sum of its proper divisors (12591070844).

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

10042114096 is a wasteful number, since it uses less digits than its factorization.

10042114096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12808841 (or 12808828 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 10042114096 its reverse (69041124001), we get a palindrome (79083238097).

The spelling of 10042114096 in words is "ten billion, forty-two million, one hundred fourteen thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 12808819 25617638 51235276 89661733 102470552 179323466 204941104 358646932 627632131 717293864 1255264262 1434587728 2510528524 5021057048 10042114096