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110022111210220 = 225113182311959941
BaseRepresentation
bin11001000001000010000100…
…110110110010101011101100
3112102120000022002200122022221
4121001002010312302223230
5103410100240432211340
61025555243215445124
732113556323640356
oct3101020466625354
9472500262618287
10110022111210220
113206912a564750
121040b0325267a4
13495106b1905c1
141d251547900d6
15cabdda9ac44a
hex641084db2aec

110022111210220 has 96 divisors (see below), whose sum is σ = 260213063749632. Its totient is φ = 38712734880000.

The previous prime is 110022111210101. The next prime is 110022111210233. The reversal of 110022111210220 is 22012111220011.

It is a junction number, because it is equal to n+sod(n) for n = 110022111210194 and 110022111210203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55155450 + ... + 57115390.

It is an arithmetic number, because the mean of its divisors is an integer number (2710552747392).

Almost surely, 2110022111210220 is an apocalyptic number.

110022111210220 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 110022111210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130106531874816).

110022111210220 is an abundant number, since it is smaller than the sum of its proper divisors (150190952539412).

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

110022111210220 is a wasteful number, since it uses less digits than its factorization.

110022111210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968223 (or 1968221 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110022111210220 its reverse (22012111220011), we get a palindrome (132034222430231).

The spelling of 110022111210220 in words is "one hundred ten trillion, twenty-two billion, one hundred eleven million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 8231 16462 32924 41155 82310 90541 164620 181082 255161 362164 452705 510322 905410 1020644 1275805 1810820 1959941 2551610 2806771 3919882 5103220 5613542 7839764 9799705 11227084 14033855 19599410 21559351 28067710 39198820 43118702 56135420 60758171 86237404 107796755 121516342 215593510 243032684 303790855 431187020 607581710 668339881 1215163420 1336679762 2673359524 3341699405 6683398810 13366797620 16132274371 32264548742 64529097484 80661371855 161322743710 177455018081 322645487420 354910036162 500100505501 709820072324 887275090405 1000201011002 1774550180810 2000402022004 2500502527505 3549100361620 5001005055010 5501105560511 10002010110020 11002211121022 22004422242044 27505527802555 55011055605110 110022111210220