Search a number
-
+
10100101101111 = 327179430533241
BaseRepresentation
bin1001001011111001110011…
…1100000011011000110111
31022202120010102010001201200
42102332130330003120313
52310440001340213421
633251531123023543
72061464630562240
oct222763474033067
938676112101650
1010100101101111
11324447984295a
12117157350abb3
135835878a59b8
1426cbc1789cc7
15127ad7e9d726
hex92f9cf03637

10100101101111 has 24 divisors (see below), whose sum is σ = 17653958229024. Its totient is φ = 5431987146240.

The previous prime is 10100101101067. The next prime is 10100101101137. The reversal of 10100101101111 is 11110110100101.

It is not a de Polignac number, because 10100101101111 - 214 = 10100101084727 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100101101093 and 10100101101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101101911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4715265550 + ... + 4715267691.

It is an arithmetic number, because the mean of its divisors is an integer number (735581592876).

Almost surely, 210100101101111 is an apocalyptic number.

10100101101111 is a deficient number, since it is larger than the sum of its proper divisors (7553857127913).

10100101101111 is a wasteful number, since it uses less digits than its factorization.

10100101101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9430533271 (or 9430533268 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10100101101111 its reverse (11110110100101), we get a palindrome (21210211201212).

The spelling of 10100101101111 in words is "ten trillion, one hundred billion, one hundred one million, one hundred one thousand, one hundred eleven".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 9430533241 28291599723 66013732687 84874799169 160319065097 198041198061 480957195291 594123594183 1122233455679 1442871585873 3366700367037 10100101101111