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1000100838936 = 2332271099316699
BaseRepresentation
bin11101000110110101010…
…01111011111000011000
310112121102202011120111110
432203122221323320120
5112341201303321221
62043235011500320
7132153300604053
oct16433251737030
93477382146443
101000100838936
1135615a93a761
121419ab8b76a0
1373403144154
14365959b5a9a
151b035534776
hexe8daa7be18

1000100838936 has 64 divisors (see below), whose sum is σ = 2511645264000. Its totient is φ = 331848304128.

The previous prime is 1000100838929. The next prime is 1000100838937. The reversal of 1000100838936 is 6398380010001.

It is a super-2 number, since 2×10001008389362 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000100838894 and 1000100838903.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59881515 + ... + 59898213.

It is an arithmetic number, because the mean of its divisors is an integer number (39244457250).

Almost surely, 21000100838936 is an apocalyptic number.

It is an amenable number.

1000100838936 is an abundant number, since it is smaller than the sum of its proper divisors (1511544425064).

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

1000100838936 is a wasteful number, since it uses less digits than its factorization.

1000100838936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27928 (or 27924 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

Adding to 1000100838936 its reverse (6398380010001), we get a palindrome (7398480848937).

The spelling of 1000100838936 in words is "one trillion, one hundred million, eight hundred thirty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 227 454 681 908 1362 1816 2724 5448 10993 16699 21986 32979 33398 43972 50097 65958 66796 87944 100194 131916 133592 200388 263832 400776 2495411 3790673 4990822 7486233 7581346 9981644 11372019 14972466 15162692 19963288 22744038 29944932 30325384 45488076 59889864 90976152 183572107 367144214 550716321 734288428 1101432642 1468576856 2202865284 4405730568 41670868289 83341736578 125012604867 166683473156 250025209734 333366946312 500050419468 1000100838936