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10022111112222 = 232112392081101771
BaseRepresentation
bin1001000111010111010001…
…0111110110110000011110
31022111002211011012010121200
42101311310113312300132
52303200240421042342
633152032210540330
72053034153606316
oct221656427666036
938432734163550
1010022111112222
1132143984a0990
12115a4288976a6
13579109011b91
14269103954446
15125a711bd94c
hex91d745f6c1e

10022111112222 has 96 divisors (see below), whose sum is σ = 23799406625280. Its totient is φ = 3022813248000.

The previous prime is 10022111112173. The next prime is 10022111112317. The reversal of 10022111112222 is 22221111122001.

10022111112222 is a `hidden beast` number, since 100 + 221 + 11 + 112 + 222 = 666.

It is a super-2 number, since 2×100221111122222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10022111112195 and 10022111112204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98426197 + ... + 98527967.

It is an arithmetic number, because the mean of its divisors is an integer number (247910485680).

Almost surely, 210022111112222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022111112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11899703312640).

10022111112222 is an abundant number, since it is smaller than the sum of its proper divisors (13777295513058).

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

10022111112222 is a wasteful number, since it uses less digits than its factorization.

10022111112222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104110 (or 104107 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10022111112222 its reverse (22221111122001), we get a palindrome (32243222234223).

The spelling of 10022111112222 in words is "ten trillion, twenty-two billion, one hundred eleven million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 239 478 717 1434 2081 2151 2629 4162 4302 5258 6243 7887 12486 15774 18729 22891 23661 37458 45782 47322 68673 101771 137346 203542 206019 305313 412038 497359 610626 915939 994718 1119481 1492077 1831878 2238962 2984154 3358443 4476231 5470949 6716886 8952462 10075329 10941898 16412847 20150658 24323269 32825694 48646538 49238541 72969807 98477082 145939614 211785451 218909421 267555959 423570902 437818842 535111918 635356353 802667877 1270712706 1605335754 1906069059 2329639961 2408003631 3812138118 4659279922 4816007262 6988919883 13977839766 20966759649 41933519298 50616722789 101233445578 151850168367 303700336734 455550505101 556783950679 911101010202 1113567901358 1670351852037 3340703704074 5011055556111 10022111112222