Search a number
-
+
101001123030033 = 3259666128555663
BaseRepresentation
bin10110111101110000101000…
…000011110110010000010001
3111020121121112220220210100200
4112331300220003312100101
5101214300244443430113
6554451135251405413
730163042661403312
oct2675605003662021
9436547486823320
10101001123030033
112a200376947166
12b3b283b8b3869
134448498c96aa5
141ad26a2470609
15ba240e91a873
hex5bdc280f6411

101001123030033 has 24 divisors (see below), whose sum is σ = 148385510183040. Its totient is φ = 66182886704160.

The previous prime is 101001123030029. The next prime is 101001123030079. The reversal of 101001123030033 is 330030321100101.

It is a happy number.

101001123030033 is a `hidden beast` number, since 1 + 0 + 100 + 1 + 1 + 230 + 300 + 33 = 666.

It is not a de Polignac number, because 101001123030033 - 22 = 101001123030029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101001123029988 and 101001123030015.

It is not an unprimeable number, because it can be changed into a prime (101001123030023) 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, 10740841 + ... + 17814822.

It is an arithmetic number, because the mean of its divisors is an integer number (6182729590960).

Almost surely, 2101001123030033 is an apocalyptic number.

It is an amenable number.

101001123030033 is a deficient number, since it is larger than the sum of its proper divisors (47384387153007).

101001123030033 is a wasteful number, since it uses less digits than its factorization.

101001123030033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28562389 (or 28562386 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101001123030033 its reverse (330030321100101), we get a palindrome (431031444130134).

The spelling of 101001123030033 in words is "one hundred one trillion, one billion, one hundred twenty-three million, thirty thousand, thirty-three".

Divisors: 1 3 9 59 177 531 6661 19983 59949 392999 1178997 3536991 28555663 85666989 257000967 1684784117 5054352351 15163057053 190209271243 570627813729 1711883441187 11222347003337 33667041010011 101001123030033