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100002011022 = 23319461211427
BaseRepresentation
bin101110100100010010…
…1011001011110001110
3100120010022102111212000
41131020211121132032
53114301003323042
6113535034053130
710140100032354
oct1351045313616
9316108374760
10100002011022
113945758a001
121746a57a1a6
139579064bb4
144ba94257d4
1529044d574c
hex174895978e

100002011022 has 64 divisors (see below), whose sum is σ = 234431366400. Its totient is φ = 31510931040.

The previous prime is 100002010993. The next prime is 100002011023. The reversal of 100002011022 is 220110200001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100002010995 and 100002011013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002011023) 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, 367273 + ... + 578699.

It is an arithmetic number, because the mean of its divisors is an integer number (3662990100).

Almost surely, 2100002011022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100002011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117215683200).

100002011022 is an abundant number, since it is smaller than the sum of its proper divisors (134429355378).

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

100002011022 is a wasteful number, since it uses less digits than its factorization.

100002011022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211918 (or 211912 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100002011022 its reverse (220110200001), we get a palindrome (320112211023).

The spelling of 100002011022 in words is "one hundred billion, two million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 461 513 922 1026 1383 2766 4149 8298 8759 12447 17518 24894 26277 52554 78831 157662 211427 236493 422854 472986 634281 1268562 1902843 3805686 4017113 5708529 8034226 11417058 12051339 24102678 36154017 72308034 97467847 108462051 194935694 216924102 292403541 584807082 877210623 1754421246 1851889093 2631631869 3703778186 5263263738 5555667279 11111334558 16667001837 33334003674 50001005511 100002011022