Search a number
-
+
10111101001011 = 323834197000727
BaseRepresentation
bin1001001100100010110010…
…0101010101110100110011
31022210121112000100212122200
42103020230211111310303
52311130013324013021
633300550425034243
72062334336310243
oct223105445256463
938717460325580
1010111101001011
113249103a1251a
121173723325983
1358461b7968ca
1426d546631b23
1512802da1d126
hex9322c955d33

10111101001011 has 24 divisors (see below), whose sum is σ = 14678006353920. Its totient is φ = 6707087548656.

The previous prime is 10111101000991. The next prime is 10111101001117. The reversal of 10111101001011 is 11010010111101.

It is not a de Polignac number, because 10111101001011 - 29 = 10111101000499 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 = 10111101000984 and 10111101001002.

It is not an unprimeable number, because it can be changed into a prime (10111101001511) 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, 2056071 + ... + 4944656.

It is an arithmetic number, because the mean of its divisors is an integer number (611583598080).

Almost surely, 210111101001011 is an apocalyptic number.

10111101001011 is a deficient number, since it is larger than the sum of its proper divisors (4566905352909).

10111101001011 is a wasteful number, since it uses less digits than its factorization.

10111101001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001535 (or 7001532 counting only the distinct ones).

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

Adding to 10111101001011 its reverse (11010010111101), we get a palindrome (21121111112112).

The spelling of 10111101001011 in words is "ten trillion, one hundred eleven billion, one hundred one million, one thousand, eleven".

Divisors: 1 3 9 383 419 1149 1257 3447 3771 160477 481431 1444293 7000727 21002181 63006543 2681278441 2933304613 8043835323 8799913839 24131505969 26399741517 1123455666779 3370367000337 10111101001011