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1112122220022 = 2321197306118917
BaseRepresentation
bin10000001011101111101…
…001100101110111110110
310221022120201011100102200
4100023233221211313312
5121210111242020042
62210522450445330
7143230265616612
oct20135751456766
93838521140380
101112122220022
11399715000350
1215b653593846
1380b46363328
143bb8141c342
151ddded14c4c
hex102efa65df6

1112122220022 has 96 divisors (see below), whose sum is σ = 2656760075424. Its totient is φ = 333405849600.

The previous prime is 1112122219993. The next prime is 1112122220039. The reversal of 1112122220022 is 2200222212111.

It is a happy number.

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 = 1112122219977 and 1112122220004.

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, 58780108 + ... + 58799024.

It is an arithmetic number, because the mean of its divisors is an integer number (27674584119).

Almost surely, 21112122220022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112122220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328380037712).

1112122220022 is an abundant number, since it is smaller than the sum of its proper divisors (1544637855402).

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

1112122220022 is a wasteful number, since it uses less digits than its factorization.

1112122220022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22094 (or 22091 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1112122220022 its reverse (2200222212111), we get a palindrome (3312344432133).

The spelling of 1112122220022 in words is "one trillion, one hundred twelve billion, one hundred twenty-two million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 194 198 291 582 873 1067 1746 2134 3061 3201 6122 6402 9183 9603 18366 18917 19206 27549 33671 37834 55098 56751 67342 101013 113502 170253 202026 208087 296917 303039 340506 416174 593834 606078 624261 890751 1248522 1781502 1834949 1872783 2672253 3266087 3669898 3745566 5344506 5504847 6532174 9798261 11009694 16514541 19596522 20184439 29394783 33029082 40368878 57904937 58789566 60553317 115809874 121106634 173714811 181659951 347429622 363319902 521144433 636954307 1042288866 1273908614 1910862921 3821725842 5616778889 5732588763 11233557778 11465177526 16850336667 33700673334 50551010001 61784567779 101102020002 123569135558 185353703337 370707406674 556061110011 1112122220022