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105030105036 = 22367971346747
BaseRepresentation
bin110000111010001001…
…0000011011111001100
3101001002201200011011020
41201310102003133030
53210100201330121
6120130011354140
710405513106523
oct1416422033714
9331081604136
10105030105036
11405a78354aa
1218432452950
139b9a97c05c
14512511b4ba
152aeab3b1c6
hex18744837cc

105030105036 has 48 divisors (see below), whose sum is σ = 251292402816. Its totient is φ = 34131930624.

The previous prime is 105030105001. The next prime is 105030105043. The reversal of 105030105036 is 630501030501.

It is a super-2 number, since 2×1050301050362 (a number of 23 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 105030104997 and 105030105015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595386 + ... + 751361.

It is an arithmetic number, because the mean of its divisors is an integer number (5235258392).

Almost surely, 2105030105036 is an apocalyptic number.

It is an amenable number.

105030105036 is an abundant number, since it is smaller than the sum of its proper divisors (146262297780).

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

105030105036 is a wasteful number, since it uses less digits than its factorization.

105030105036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346918 (or 1346916 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 105030105036 its reverse (630501030501), we get a palindrome (735531135537).

The spelling of 105030105036 in words is "one hundred five billion, thirty million, one hundred five thousand, thirty-six".

Divisors: 1 2 3 4 6 12 67 97 134 194 201 268 291 388 402 582 804 1164 6499 12998 19497 25996 38994 77988 1346747 2693494 4040241 5386988 8080482 16160964 90232049 130634459 180464098 261268918 270696147 360928196 391903377 522537836 541392294 783806754 1082784588 1567613508 8752508753 17505017506 26257526259 35010035012 52515052518 105030105036