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22102020100020 = 2235768209771509
BaseRepresentation
bin1010000011010000001110…
…00011101000111110110100
32220020221011210010102010210
411001220013003220332310
510344104414121200040
6115001310003545420
74440550443043620
oct501500703507664
986227153112123
1022102020100020
117051461169a73
12258b62998b270
13c44299a1b9a3
14565a5a17a180
15284dce5d1480
hex141a070e8fb4

22102020100020 has 96 divisors (see below), whose sum is σ = 70727592902400. Its totient is φ = 5051809695744.

The previous prime is 22102020099959. The next prime is 22102020100073. The reversal of 22102020100020 is 2000102020122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22102020099969 and 22102020100005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28262026 + ... + 29033534.

It is an arithmetic number, because the mean of its divisors is an integer number (736745759400).

Almost surely, 222102020100020 is an apocalyptic number.

22102020100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102020100020 is an abundant number, since it is smaller than the sum of its proper divisors (48625572802380).

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

22102020100020 is a wasteful number, since it uses less digits than its factorization.

22102020100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839737 (or 839735 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22102020100020 its reverse (2000102020122), we get a palindrome (24102122120142).

The spelling of 22102020100020 in words is "twenty-two trillion, one hundred two billion, twenty million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 68209 136418 204627 272836 341045 409254 477463 682090 771509 818508 954926 1023135 1364180 1432389 1543018 1909852 2046270 2314527 2387315 2864778 3086036 3857545 4092540 4629054 4774630 5400563 5729556 7161945 7715090 9258108 9549260 10801126 11572635 14323890 15430180 16201689 21602252 23145270 27002815 28647780 32403378 46290540 54005630 64806756 81008445 108011260 162016890 324033780 52623857381 105247714762 157871572143 210495429524 263119286905 315743144286 368367001667 526238573810 631486288572 736734003334 789357860715 1052477147620 1105101005001 1473468006668 1578715721430 1841835008335 2210202010002 3157431442860 3683670016670 4420404020004 5525505025005 7367340033340 11051010050010 22102020100020