Search a number
-
+
101012010011 = 112910124113009
BaseRepresentation
bin101111000010011001…
…0001111010000011011
3100122201200220202222222
41132010302033100123
53123333033310021
6114223153534255
710204112630003
oct1360462172033
9318650822888
10101012010011
1139925712210
12176b087438b
1396aa393333
144c63617003
152962ede6ab
hex1784c8f41b

101012010011 has 32 divisors (see below), whose sum is σ = 115609982400. Its totient is φ = 87413760000.

The previous prime is 101012009971. The next prime is 101012010013. The reversal of 101012010011 is 110010210101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101012010011 - 226 = 100944901147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101012010013) 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, 7758275 + ... + 7771283.

It is an arithmetic number, because the mean of its divisors is an integer number (3612811950).

Almost surely, 2101012010011 is an apocalyptic number.

101012010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101012010011 is a deficient number, since it is larger than the sum of its proper divisors (14597972389).

101012010011 is a wasteful number, since it uses less digits than its factorization.

101012010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13391.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101012010011 its reverse (110010210101), we get a palindrome (211022220112).

It can be divided in two parts, 1010 and 12010011, that added together give a palindrome (12011021).

The spelling of 101012010011 in words is "one hundred one billion, twelve million, ten thousand, eleven".

Divisors: 1 11 29 101 241 319 1111 2651 2929 6989 13009 24341 32219 76879 143099 267751 377261 705889 1313909 3135169 4149871 7764779 14452999 34486859 38103361 90919901 316652069 419136971 1000118911 3483172759 9182910001 101012010011