Search a number
-
+
1112112102222 = 2321189392316087
BaseRepresentation
bin10000001011101111000…
…010111111101101001110
310221022120000010022102100
4100023233002333231032
5121210101144232342
62210521445535530
7143230113616632
oct20135702775516
93838500108370
101112112102222
1139970a31a730
1215b6501145a6
1380b4422cc74
143bb7dd46dc2
151ddddeb6e4c
hex102ef0bfb4e

1112112102222 has 96 divisors (see below), whose sum is σ = 2659006621440. Its totient is φ = 333111461760.

The previous prime is 1112112102193. The next prime is 1112112102223. The reversal of 1112112102222 is 2222012112111.

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 = 1112112102195 and 1112112102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112112102223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69123063 + ... + 69139149.

It is an arithmetic number, because the mean of its divisors is an integer number (27697985640).

Almost surely, 21112112102222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112112102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329503310720).

1112112102222 is an abundant number, since it is smaller than the sum of its proper divisors (1546894519218).

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

1112112102222 is a wasteful number, since it uses less digits than its factorization.

1112112102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20118 (or 20115 counting only the distinct ones).

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

Adding to 1112112102222 its reverse (2222012112111), we get a palindrome (3334124214333).

The spelling of 1112112102222 in words is "one trillion, one hundred twelve billion, one hundred twelve million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 178 198 267 534 801 979 1602 1958 2937 3923 5874 7846 8811 11769 16087 17622 23538 32174 35307 43153 48261 70614 86306 96522 129459 144783 176957 258918 289566 349147 353914 388377 530871 698294 776754 1047441 1061742 1431743 1592613 2094882 2863486 3142323 3185226 3840617 4295229 6284646 7681234 8590458 11521851 12885687 15749173 23043702 25771374 31498346 34565553 47247519 63109301 69131106 94495038 126218602 141742557 189327903 283485114 378655806 567983709 694202311 1135967418 1388404622 2082606933 4165213866 5616727789 6247820799 11233455578 12495641598 16850183367 33700366734 50550550101 61784005679 101101100202 123568011358 185352017037 370704034074 556056051111 1112112102222