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22221100102120 = 2355407665315443
BaseRepresentation
bin1010000110101110000001…
…10001110011000111101000
32220200022112200011021202221
411003113000301303013220
510403032303111231440
6115132122113403424
74452264401260453
oct503270061630750
986608480137687
1022221100102120
117097a08783047
1225aa721569574
13c5259642a1aa
1456b71523c49a
1528804d909d4a
hex1435c0c731e8

22221100102120 has 64 divisors (see below), whose sum is σ = 50017477086720. Its totient is φ = 8884885035264.

The previous prime is 22221100101997. The next prime is 22221100102133. The reversal of 22221100102120 is 2120100112222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22221100102094 and 22221100102103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1438903119 + ... + 1438918561.

It is an arithmetic number, because the mean of its divisors is an integer number (781523079480).

Almost surely, 222221100102120 is an apocalyptic number.

22221100102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221100102120 is an abundant number, since it is smaller than the sum of its proper divisors (27796376984600).

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

22221100102120 is a wasteful number, since it uses less digits than its factorization.

22221100102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27514 (or 27510 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22221100102120 its reverse (2120100112222), we get a palindrome (24341200214342).

The spelling of 22221100102120 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5407 6653 10814 13306 15443 21628 26612 27035 30886 33265 43256 53224 54070 61772 66530 77215 108140 123544 133060 154430 216280 266120 308860 617720 35972771 71945542 83500301 102742279 143891084 167000602 179863855 205484558 287782168 334001204 359727710 410969116 417501505 513711395 668002408 719455420 821938232 835003010 1027422790 1438910840 1670006020 2054845580 3340012040 4109691160 555527502553 1111055005106 2222110010212 2777637512765 4444220020424 5555275025530 11110550051060 22221100102120