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2022111102 = 2311323101109
BaseRepresentation
bin111100010000110…
…1111011101111110
312012220221212221210
41320201233131332
513120130023402
6532352505250
7101052442434
oct17041573576
95186855853
102022111102
1194847a000
1248524b226
13262c1965b
141527b2d54
15bc7ce06c
hex7886f77e

2022111102 has 128 divisors (see below), whose sum is σ = 4730711040. Its totient is φ = 574992000.

The previous prime is 2022111089. The next prime is 2022111109. The reversal of 2022111102 is 2011112202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022111109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18551424 + ... + 18551532.

It is an arithmetic number, because the mean of its divisors is an integer number (36958680).

Almost surely, 22022111102 is an apocalyptic number.

2022111102 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 2022111102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365355520).

2022111102 is an abundant number, since it is smaller than the sum of its proper divisors (2708599938).

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

2022111102 is a wasteful number, since it uses less digits than its factorization.

2022111102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 249 counting only the distinct ones).

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

The square root of 2022111102 is about 44967.8896769684. The cubic root of 2022111102 is about 1264.5470842359.

Adding to 2022111102 its reverse (2011112202), we get a palindrome (4033223304).

It can be divided in two parts, 20 and 22111102, that added together give a palindrome (22111122).

The spelling of 2022111102 in words is "two billion, twenty-two million, one hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 101 109 121 138 202 218 242 253 303 327 363 506 606 654 726 759 1111 1199 1331 1518 2222 2323 2398 2507 2662 2783 3333 3597 3993 4646 5014 5566 6666 6969 7194 7521 7986 8349 11009 12221 13189 13938 15042 16698 22018 24442 25553 26378 27577 30613 33027 36663 39567 51106 55154 61226 66054 73326 76659 79134 82731 91839 121099 134431 145079 153318 165462 183678 242198 253207 268862 281083 290158 303347 363297 403293 435237 506414 562166 606694 726594 759621 806586 843249 870474 910041 1332089 1519242 1686498 1820082 2664178 2785277 3091913 3336817 3996267 5570554 6183826 6673634 7992534 8355831 9275739 10010451 14652979 16711662 18551478 20020902 29305958 30638047 43958937 61276094 87917874 91914141 183828282 337018517 674037034 1011055551 2022111102