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220110000011022 = 2311212719712118063
BaseRepresentation
bin110010000011000001011010…
…010111001011011100001110
31001212100022101100112002201110
4302003001122113023130032
5212322240240000323042
62100045045453352450
764235264664114132
oct6203013227133416
91055308340462643
10220110000011022
1164152143828800
122082a961798726
1395a838ca74824
143c4d5490693c2
151a6a87602109c
hexc8305a5cb70e

220110000011022 has 96 divisors (see below), whose sum is σ = 490163861569536. Its totient is φ = 65838885013440.

The previous prime is 220110000011021. The next prime is 220110000011023.

220110000011022 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (220110000011021) and next prime (220110000011023).

It is a junction number, because it is equal to n+sod(n) for n = 220110000010989 and 220110000011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220110000011021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12104763 + ... + 24222825.

It is an arithmetic number, because the mean of its divisors is an integer number (5105873558016).

Almost surely, 2220110000011022 is an apocalyptic number.

220110000011022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220110000011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245081930784768).

220110000011022 is an abundant number, since it is smaller than the sum of its proper divisors (270053861558514).

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

220110000011022 is a wasteful number, since it uses less digits than its factorization.

220110000011022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12118414 (or 12118403 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 2201100000 and 11022, that added together give a palindrome (2201111022).

The spelling of 220110000011022 in words is "two hundred twenty trillion, one hundred ten billion, eleven thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 127 197 242 254 363 381 394 591 726 762 1182 1397 2167 2794 4191 4334 6501 8382 13002 15367 23837 25019 30734 46101 47674 50038 71511 75057 92202 143022 150114 275209 550418 825627 1651254 3027299 6054598 9081897 12118063 18163794 24236126 36354189 72708378 133298693 266597386 399896079 799792158 1466285623 1538994001 2387258411 2932571246 3077988002 4398856869 4616982003 4774516822 7161775233 8797713738 9233964006 14323550466 16928934011 26259842521 33857868022 50786802033 52519685042 78779527563 101573604066 157559055126 186218274121 288858267731 303181818197 372436548242 558654822363 577716535462 606363636394 866574803193 909545454591 1117309644726 1733149606386 1819090909182 3335000000167 6670000000334 10005000000501 20010000001002 36685000001837 73370000003674 110055000005511 220110000011022