Search a number
-
+
1000100838938 = 21747625845331
BaseRepresentation
bin11101000110110101010…
…01111011111000011010
310112121102202011120111112
432203122221323320122
5112341201303321223
62043235011500322
7132153300604055
oct16433251737032
93477382146445
101000100838938
1135615a93a763
121419ab8b76a2
1373403144156
14365959b5a9c
151b035534778
hexe8daa7be1a

1000100838938 has 16 divisors (see below), whose sum is σ = 1622191100544. Its totient is φ = 460622162880.

The previous prime is 1000100838937. The next prime is 1000100839009. The reversal of 1000100838938 is 8398380010001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1000100838895 and 1000100838904.

It is not an unprimeable number, because it can be changed into a prime (1000100838937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312921068 + ... + 312924263.

It is an arithmetic number, because the mean of its divisors is an integer number (101386943784).

Almost surely, 21000100838938 is an apocalyptic number.

1000100838938 is a deficient number, since it is larger than the sum of its proper divisors (622090261606).

1000100838938 is a wasteful number, since it uses less digits than its factorization.

1000100838938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625845397.

The product of its (nonzero) digits is 41472, while the sum is 41.

Adding to 1000100838938 its reverse (8398380010001), we get a palindrome (9398480848939).

The spelling of 1000100838938 in words is "one trillion, one hundred million, eight hundred thirty-eight thousand, nine hundred thirty-eight".

Divisors: 1 2 17 34 47 94 799 1598 625845331 1251690662 10639370627 21278741254 29414730557 58829461114 500050419469 1000100838938