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1102112111022 = 231329716368743
BaseRepresentation
bin10000000010011011000…
…000000011100110101110
310220100202002101010100220
4100002123000003212232
5121024111200023042
62202145303232210
7142424236242426
oct20023300034656
93810662333326
101102112111022
1139544861129a
1215971b148666
137cc0c546800
143b4b1bc7486
151da0610b8ec
hex1009b0039ae

1102112111022 has 96 divisors (see below), whose sum is σ = 2426258435328. Its totient is φ = 333551582208.

The previous prime is 1102112110951. The next prime is 1102112111029. The reversal of 1102112111022 is 2201112112011.

It is a happy number.

It is a super-2 number, since 2×11021121110222 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1102112110992 and 1102112111010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102112111029) 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, 15997983 + ... + 16066725.

It is an arithmetic number, because the mean of its divisors is an integer number (25273525368).

Almost surely, 21102112111022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102112111022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213129217664).

1102112111022 is an abundant number, since it is smaller than the sum of its proper divisors (1324146324306).

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

1102112111022 is a wasteful number, since it uses less digits than its factorization.

1102112111022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69034 (or 69021 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1102112111022 its reverse (2201112112011), we get a palindrome (3303224223033).

The spelling of 1102112111022 in words is "one trillion, one hundred two billion, one hundred twelve million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 97 163 169 194 291 326 338 489 507 582 978 1014 1261 2119 2522 3783 4238 6357 7566 12714 15811 16393 27547 31622 32786 47433 49179 55094 68743 82641 94866 98358 137486 165282 205543 206229 411086 412458 616629 893659 1233258 1787318 2672059 2680977 5344118 5361954 6668071 8016177 11205109 11617567 13336142 16032354 20004213 22410218 23235134 33615327 34852701 40008426 67230654 69705402 86684923 145666417 173369846 260054769 291332834 436999251 520109538 873998502 1086895573 1126903999 1893663421 2173791146 2253807998 3260686719 3380711997 3787326842 5680990263 6521373438 6761423994 11361980526 14129642449 28259284898 42388927347 84777854694 183685351837 367370703674 551056055511 1102112111022