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2122200222102 = 234231051541927
BaseRepresentation
bin11110111000011100111…
…111011000100110010110
321111212202210010022210000
4132320130333120212112
5234232231224101402
64302531511512130
7306216046153122
oct36703477304626
97455683108700
102122200222102
11749024777384
122a3368688646
1312517952a1bc
1474a020d0582
153a30b1e5c1c
hex1ee1cfd8996

2122200222102 has 80 divisors (see below), whose sum is σ = 4966783126272. Its totient is φ = 675998492400.

The previous prime is 2122200222097. The next prime is 2122200222113. The reversal of 2122200222102 is 2012220022212.

2122200222102 is a `hidden beast` number, since 212 + 220 + 0 + 22 + 210 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3645063 + ... + 4186989.

Almost surely, 22122200222102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122200222102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483391563136).

2122200222102 is an abundant number, since it is smaller than the sum of its proper divisors (2844582904170).

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

2122200222102 is a wasteful number, since it uses less digits than its factorization.

2122200222102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543015 (or 543006 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2122200222102 its reverse (2012220022212), we get a palindrome (4134420244314).

It can be divided in two parts, 212220022210 and 2, that added together give a palindrome (212220022212).

The spelling of 2122200222102 in words is "two trillion, one hundred twenty-two billion, two hundred million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1051 1242 1863 2102 3153 3726 6306 9459 18918 24173 28377 48346 56754 72519 85131 145038 170262 217557 435114 541927 652671 1083854 1305342 1625781 1958013 3251562 3916026 4877343 9754686 12464321 14632029 24928642 29264058 37392963 43896087 74785926 87792174 112178889 224357778 336536667 569565277 673073334 1009610001 1139130554 1708695831 2019220002 3417391662 5126087493 10252174986 13100001371 15378262479 26200002742 30756524958 39300004113 46134787437 78600008226 92269574874 117900012339 235800024678 353700037017 707400074034 1061100111051 2122200222102