Search a number
-
+
101042054235 = 3352512981911
BaseRepresentation
bin101111000011010010…
…0110110010001011011
3100122210210110011221000
41132012210312101123
53123413231213420
6114230145520043
710204626201333
oct1360644662133
9318723404830
10101042054235
1139940672951
12176ba943023
1396b3682495
144c675d80c3
152965976690
hex178693645b

101042054235 has 32 divisors (see below), whose sum is σ = 180346037760. Its totient is φ = 53674380000.

The previous prime is 101042054231. The next prime is 101042054257. The reversal of 101042054235 is 532450240101.

101042054235 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 420 + 5 + 4 + 235 = 666.

It is not a de Polignac number, because 101042054235 - 22 = 101042054231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101042054199 and 101042054208.

It is not an unprimeable number, because it can be changed into a prime (101042054231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1457071 + ... + 1524840.

It is an arithmetic number, because the mean of its divisors is an integer number (5635813680).

Almost surely, 2101042054235 is an apocalyptic number.

101042054235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101042054235 is a deficient number, since it is larger than the sum of its proper divisors (79303983525).

101042054235 is a wasteful number, since it uses less digits than its factorization.

101042054235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982176 (or 2982170 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 101042054235 its reverse (532450240101), we get a palindrome (633492294336).

The spelling of 101042054235 in words is "one hundred one billion, forty-two million, fifty-four thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 251 753 1255 2259 3765 6777 11295 33885 2981911 8945733 14909555 26837199 44728665 80511597 134185995 402557985 748459661 2245378983 3742298305 6736136949 11226894915 20208410847 33680684745 101042054235