Search a number
-
+
20021100100110 = 2345163257590041
BaseRepresentation
bin1001000110101100001101…
…00011110011101000001110
32121212222221220000122120000
410203112012203303220032
510111011203111200420
6110325322202305130
74134322344636504
oct443260643635016
977788856018500
1020021100100110
1164199a006a5aa
1222b4281ab81a6
13b22c9b875a85
144d30526aa674
1524abdc4a7690
hex1235868f3a0e

20021100100110 has 160 divisors (see below), whose sum is σ = 54375636772512. Its totient is φ = 5285549998080.

The previous prime is 20021100100069. The next prime is 20021100100121. The reversal of 20021100100110 is 1100100112002.

It is a happy number.

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 = 20021100100092 and 20021100100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33636690 + ... + 34226730.

Almost surely, 220021100100110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021100100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27187818386256).

20021100100110 is an abundant number, since it is smaller than the sum of its proper divisors (34354536672402).

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

20021100100110 is a wasteful number, since it uses less digits than its factorization.

20021100100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590480 (or 590471 counting only the distinct ones).

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

Adding to 20021100100110 its reverse (1100100112002), we get a palindrome (21121200212112).

The spelling of 20021100100110 in words is "twenty trillion, twenty-one billion, one hundred million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 163 257 270 326 405 489 514 771 810 815 978 1285 1467 1542 1630 2313 2445 2570 2934 3855 4401 4626 4890 6939 7335 7710 8802 11565 13203 13878 14670 20817 22005 23130 26406 34695 41634 41891 44010 66015 69390 83782 104085 125673 132030 208170 209455 251346 377019 418910 590041 628365 754038 1131057 1180082 1256730 1770123 1885095 2262114 2950205 3393171 3540246 3770190 5310369 5655285 5900410 6786342 8850615 10620738 11310570 15931107 16965855 17701230 26551845 31862214 33931710 47793321 53103690 79655535 95586642 96176683 151640537 159311070 192353366 238966605 288530049 303281074 454921611 477933210 480883415 577060098 758202685 865590147 909843222 961766830 1364764833 1442650245 1516405370 1731180294 2274608055 2596770441 2729529666 2885300490 4094294499 4327950735 4549216110 5193540882 6823824165 7790311323 8188588998 8655901470 12282883497 12983852205 13647648330 15580622646 20471472495 24565766994 24717407531 25967704410 38951556615 40942944990 49434815062 61414417485 74152222593 77903113230 122828834970 123587037655 148304445186 222456667779 247174075310 370761112965 444913335558 667370003337 741522225930 1112283338895 1334740006674 2002110010011 2224566677790 3336850016685 4004220020022 6673700033370 10010550050055 20021100100110