Search a number
-
+
22022021000120 = 2353717983127061
BaseRepresentation
bin1010000000111011001101…
…01111010010101110111000
32212222021200111201001211212
411000131212233102232320
510341302044334000440
6114500435441342252
74432016131651331
oct500354657225670
985867614631755
1022022021000120
117020539818179
122578022337988
13c3988ab4079b
14561c2b597288
15282c9b23e465
hex140766bd2bb8

22022021000120 has 64 divisors (see below), whose sum is σ = 51173019367200. Its totient is φ = 8522851207680.

The previous prime is 22022021000117. The next prime is 22022021000141. The reversal of 22022021000120 is 2100012022022.

It is a super-3 number, since 3×220220210001203 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22022021000095 and 22022021000104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41298611 + ... + 41828450.

Almost surely, 222022021000120 is an apocalyptic number.

22022021000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022021000120 is an abundant number, since it is smaller than the sum of its proper divisors (29150998367080).

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

22022021000120 is a wasteful number, since it uses less digits than its factorization.

22022021000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83127288 (or 83127284 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22022021000120 its reverse (2100012022022), we get a palindrome (24122033022142).

The spelling of 22022021000120 in words is "twenty-two trillion, twenty-two billion, twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 37 40 74 148 179 185 296 358 370 716 740 895 1432 1480 1790 3580 6623 7160 13246 26492 33115 52984 66230 132460 264920 83127061 166254122 332508244 415635305 665016488 831270610 1662541220 3075701257 3325082440 6151402514 12302805028 14879743919 15378506285 24605610056 29759487838 30757012570 59518975676 61514025140 74398719595 119037951352 123028050280 148797439190 297594878380 550550525003 595189756760 1101101050006 2202202100012 2752752625015 4404404200024 5505505250030 11011010500060 22022021000120