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110221101020 = 225196711713697
BaseRepresentation
bin110011010100110110…
…0001000011111011100
3101112111111110001221202
41212221230020133130
53301213100213040
6122345044415032
710651244620562
oct1465154103734
9345444401852
10110221101020
1142820a35628
12194409a7478
13a517261804
1454986d9a32
152d0171e015
hex19a9b087dc

110221101020 has 96 divisors (see below), whose sum is σ = 247561278720. Its totient is φ = 41098337280.

The previous prime is 110221101019. The next prime is 110221101037. The reversal of 110221101020 is 20101122011.

It is a super-2 number, since 2×1102211010202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110221100992 and 110221101010.

It is a congruent number.

It is an unprimeable number.

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, 29811812 + ... + 29815508.

It is an arithmetic number, because the mean of its divisors is an integer number (2578763320).

Almost surely, 2110221101020 is an apocalyptic number.

110221101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110221101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123780639360).

110221101020 is an abundant number, since it is smaller than the sum of its proper divisors (137340177700).

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

110221101020 is a wasteful number, since it uses less digits than its factorization.

110221101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110221101020 its reverse (20101122011), we get a palindrome (130322223031).

The spelling of 110221101020 in words is "one hundred ten billion, two hundred twenty-one million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 190 268 335 380 670 1171 1273 1340 2342 2546 3697 4684 5092 5855 6365 7394 11710 12730 14788 18485 22249 23420 25460 36970 44498 70243 73940 78457 88996 111245 140486 156914 222490 247699 280972 313828 351215 392285 444980 495398 702430 784570 990796 1238495 1404860 1490683 1569140 2476990 2981366 4329187 4706281 4953980 5962732 7453415 8658374 9412562 14906830 17316748 18825124 21645935 23531405 29813660 43291870 47062810 82254553 86583740 94125620 164509106 290055529 329018212 411272765 580111058 822545530 1160222116 1450277645 1645091060 2900555290 5511055051 5801110580 11022110102 22044220204 27555275255 55110550510 110221101020