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101000110020210 = 23252938697360161
BaseRepresentation
bin10110111101101111101011…
…101011100001011001110010
3111020121111221022202120010100
4112331233223223201121302
5101214241211131121320
6554450450543213230
730163005611066022
oct2675575353413162
9436544838676110
10101000110020210
112a1aa9a7047965
12b3b25b85a7216
1344483671530ab
141ad2607ad7a82
15ba23a0a19790
hex5bdbebae1672

101000110020210 has 48 divisors (see below), whose sum is σ = 271655468337240. Its totient is φ = 26004626027520.

The previous prime is 101000110020179. The next prime is 101000110020221. The reversal of 101000110020210 is 12020011000101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47276941927329 + 53723168092881 = 6875823^2 + 7329609^2 .

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 = 101000110020192 and 101000110020201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19348677471 + ... + 19348682690.

Almost surely, 2101000110020210 is an apocalyptic number.

101000110020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000110020210 is an abundant number, since it is smaller than the sum of its proper divisors (170655358317030).

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

101000110020210 is a wasteful number, since it uses less digits than its factorization.

101000110020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38697360203 (or 38697360200 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101000110020210 its reverse (12020011000101), we get a palindrome (113020121020311).

The spelling of 101000110020210 in words is "one hundred one trillion, one hundred ten million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 38697360161 77394720322 116092080483 193486800805 232184160966 348276241449 386973601610 580460402415 696552482898 1122223444669 1160920804830 1741381207245 2244446889338 3366670334007 3482762414490 5611117223345 6733340668014 10100011002021 11222234446690 16833351670035 20200022004042 33666703340070 50500055010105 101000110020210