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21100134142122 = 23723112919347023
BaseRepresentation
bin1001100110000110000100…
…00000000001000010101010
32202201011010121221101210020
410303003002000001002222
510231201033320021442
6112513133502501310
74305301664651220
oct463030200010252
982634117841706
1021100134142122
1167a5575709a92
122449420294836
13ba0970ac7c39
1452d375482b10
15268ce24d29ec
hex1330c20010aa

21100134142122 has 64 divisors (see below), whose sum is σ = 50370363924480. Its totient is φ = 5761388375424.

The previous prime is 21100134142093. The next prime is 21100134142159. The reversal of 21100134142122 is 22124143100112.

It is a super-3 number, since 3×211001341421223 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21100134142092 and 21100134142101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8582898 + ... + 10764125.

It is an arithmetic number, because the mean of its divisors is an integer number (787036936320).

Almost surely, 221100134142122 is an apocalyptic number.

21100134142122 is an abundant number, since it is smaller than the sum of its proper divisors (29270229782358).

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

21100134142122 is a wasteful number, since it uses less digits than its factorization.

21100134142122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19348187.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 21100134142122 its reverse (22124143100112), we get a palindrome (43224277242234).

The spelling of 21100134142122 in words is "twenty-one trillion, one hundred billion, one hundred thirty-four million, one hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 1129 2258 3387 6774 7903 15806 23709 25967 47418 51934 77901 155802 181769 363538 545307 1090614 19347023 38694046 58041069 116082138 135429161 270858322 406287483 444981529 812574966 889963058 1334944587 2669889174 3114870703 6229741406 9344612109 18689224218 21842788967 43685577934 65528366901 131056733802 152899522769 305799045538 458698568307 502384146241 917397136614 1004768292482 1507152438723 3014304877446 3516689023687 7033378047374 10550067071061 21100134142122