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106001001050 = 2527617490859
BaseRepresentation
bin110001010111000100…
…1101110101001011010
3101010121101120210002212
41202232021232221122
53214042224013200
6120410213155122
710441542433250
oct1425611565132
9333541523085
10106001001050
1140a5588aaaa
121866362baa2
139cc3b69039
1451b80505d0
152b55ebe035
hex18ae26ea5a

106001001050 has 48 divisors (see below), whose sum is σ = 225693501120. Its totient is φ = 36284223360.

The previous prime is 106001001019. The next prime is 106001001089. The reversal of 106001001050 is 50100100601.

It is a super-2 number, since 2×1060010010502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29480 + ... + 461379.

It is an arithmetic number, because the mean of its divisors is an integer number (4701947940).

Almost surely, 2106001001050 is an apocalyptic number.

106001001050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106001001050 is an abundant number, since it is smaller than the sum of its proper divisors (119692500070).

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

106001001050 is a wasteful number, since it uses less digits than its factorization.

106001001050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491495 (or 491490 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 106001001050 its reverse (50100100601), we get a palindrome (156101101651).

The spelling of 106001001050 in words is "one hundred six billion, one million, one thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 350 617 1234 3085 4319 6170 8638 15425 21595 30850 43190 107975 215950 490859 981718 2454295 3436013 4908590 6872026 12271475 17180065 24542950 34360130 85900325 171800650 302860003 605720006 1514300015 2120020021 3028600030 4240040042 7571500075 10600100105 15143000150 21200200210 53000500525 106001001050