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100006811324 = 2275099417457
BaseRepresentation
bin101110100100011011…
…1101101011010111100
3100120010122110101121222
41131020313231122330
53114303220430244
6113535325012512
710140155604410
oct1351067553274
9316118411558
10100006811324
113945a2685a2
12174700b4138
13957a055b04
144ba9d14d40
152904b32bee
hex1748ded6bc

100006811324 has 48 divisors (see below), whose sum is σ = 200646452160. Its totient is φ = 42724669440.

The previous prime is 100006811321. The next prime is 100006811381. The reversal of 100006811324 is 423118600001.

It is a super-2 number, since 2×1000068113242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100006811293 and 100006811302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100006811321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13407404 + ... + 13414860.

It is an arithmetic number, because the mean of its divisors is an integer number (4180134420).

Almost surely, 2100006811324 is an apocalyptic number.

100006811324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100006811324 is an abundant number, since it is smaller than the sum of its proper divisors (100639640836).

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

100006811324 is a wasteful number, since it uses less digits than its factorization.

100006811324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8918 (or 8916 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 100006811324 in words is "one hundred billion, six million, eight hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 509 941 1018 1882 2036 3563 3764 6587 7126 7457 13174 14252 14914 26348 29828 52199 104398 208796 478969 957938 1915876 3352783 3795613 6705566 7017037 7591226 13411132 14034074 15182452 26569291 28068148 49119259 53138582 98238518 106277164 196477036 3571671833 7143343666 14286687332 25001702831 50003405662 100006811324