Search a number
-
+
100000101000111 = 31331370192234341
BaseRepresentation
bin10110101111001100010110…
…011111110110001110101111
3111010001220201222100212101120
4112233030112133312032233
5101101400201324000421
6552403225011312023
730030524503501224
oct2657142637661657
9433056658325346
10100000101000111
1129954894021044
12b2708335ab613
1343a4c7a049a20
141a9a0603c394b
15b863735c08c6
hex5af3167f63af

100000101000111 has 32 divisors (see below), whose sum is σ = 148225890785280. Its totient is φ = 59551774646400.

The previous prime is 100000101000071. The next prime is 100000101000131. The reversal of 100000101000111 is 111000101000001.

It is a de Polignac number, because none of the positive numbers 2k-100000101000111 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100000101000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000101000131) 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, 43638801 + ... + 45873141.

It is an arithmetic number, because the mean of its divisors is an integer number (4632059087040).

Almost surely, 2100000101000111 is an apocalyptic number.

100000101000111 is a deficient number, since it is larger than the sum of its proper divisors (48225789785169).

100000101000111 is a wasteful number, since it uses less digits than its factorization.

100000101000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271407.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100000101000111 its reverse (111000101000001), we get a palindrome (211000202000112).

The spelling of 100000101000111 in words is "one hundred trillion, one hundred one million, one hundred eleven", and thus it is an aban number.

Divisors: 1 3 13 31 39 93 403 1209 37019 111057 481247 1147589 1443741 2234341 3442767 6703023 14918657 29046433 44755971 69264571 87139299 207793713 900439423 2701318269 82713069479 248139208437 1075269903227 2564105153849 3225809709681 7692315461547 33333367000037 100000101000111