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2101002222222 = 2327191597101653
BaseRepresentation
bin11110100100101101011…
…111011011101010001110
321102212001110100100122100
4132210231133123222032
5233410323032102342
64245104225055530
7304535536141161
oct36445537335216
97385043310570
102101002222222
11740036a88312
1229b2314875a6
1312317b8ab5c7
1473990a79ad8
15399ba1d6e4c
hex1e92d7dba8e

2101002222222 has 48 divisors (see below), whose sum is σ = 4561402023360. Its totient is φ = 698915238336.

The previous prime is 2101002222167. The next prime is 2101002222233. The reversal of 2101002222222 is 2222222001012.

2101002222222 is a `hidden beast` number, since 210 + 10 + 0 + 2 + 222 + 222 = 666.

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

2101002222222 is a modest number, since divided by 2222222 gives 210100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2101002222195 and 2101002222204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20617548 + ... + 20719200.

It is an arithmetic number, because the mean of its divisors is an integer number (95029208820).

Almost surely, 22101002222222 is an apocalyptic number.

2101002222222 is an abundant number, since it is smaller than the sum of its proper divisors (2460399801138).

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

2101002222222 is a wasteful number, since it uses less digits than its factorization.

2101002222222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103977 (or 103974 counting only the distinct ones).

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

Adding to 2101002222222 its reverse (2222222001012), we get a palindrome (4323224223234).

The spelling of 2101002222222 in words is "two trillion, one hundred one billion, two million, two hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 719 1438 1597 2157 3194 4314 4791 6471 9582 12942 14373 28746 101653 203306 304959 609918 914877 1148243 1829754 2296486 3444729 6889458 10334187 20668374 73088507 146177014 162339841 219265521 324679682 438531042 487019523 657796563 974039046 1315593126 1461058569 2922117138 116722345679 233444691358 350167037037 700334074074 1050501111111 2101002222222