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106010010001050 = 23521380751186601
BaseRepresentation
bin11000000110101001100000…
…111111010001111010011010
3111220100110100212102211011120
4120012221200333101322122
5102343332000030013200
61013244154250510110
731220653605231111
oct3006514077217232
9456313325384146
10106010010001050
1130861657a74571
12ba81549a35336
13471c91628538c
141c26caa208c78
15c3c86c43d9a0
hex606a60fd1e9a

106010010001050 has 48 divisors (see below), whose sum is σ = 262923871354752. Its totient is φ = 28267287984000.

The previous prime is 106010010001037. The next prime is 106010010001057. The reversal of 106010010001050 is 50100010010601.

It is a super-2 number, since 2×1060100100010502 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106010010001057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23522251 + ... + 27664350.

It is an arithmetic number, because the mean of its divisors is an integer number (5477580653224).

Almost surely, 2106010010001050 is an apocalyptic number.

106010010001050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106010010001050 is an abundant number, since it is smaller than the sum of its proper divisors (156913861353702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106010010001050 is a wasteful number, since it uses less digits than its factorization.

106010010001050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51200423 (or 51200418 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 106010010001050 its reverse (50100010010601), we get a palindrome (156110020011651).

The spelling of 106010010001050 in words is "one hundred six trillion, ten billion, ten million, one thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 13807 27614 41421 69035 82842 138070 207105 345175 414210 690350 1035525 2071050 51186601 102373202 153559803 255933005 307119606 511866010 767799015 1279665025 1535598030 2559330050 3838995075 7677990150 706733400007 1413466800014 2120200200021 3533667000035 4240400400042 7067334000070 10601001000105 17668335000175 21202002000210 35336670000350 53005005000525 106010010001050