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21221110010120 = 2355949118313637
BaseRepresentation
bin1001101001100111011001…
…01110010101000100001000
32210010201101122101020111212
410310303230232111010020
510240141313130310440
6113044502055312252
74320113613605636
oct464635456250410
983121348336455
1021221110010120
116841905405189
12246896297b688
13bac1b0220397
14535170254356
1526c022e9e465
hex134cecb95108

21221110010120 has 64 divisors (see below), whose sum is σ = 48655673438400. Its totient is φ = 8327576561920.

The previous prime is 21221110010117. The next prime is 21221110010123. The reversal of 21221110010120 is 2101001112212.

It is an interprime number because it is at equal distance from previous prime (21221110010117) and next prime (21221110010123).

It is a junction number, because it is equal to n+sod(n) for n = 21221110010095 and 21221110010104.

It is not an unprimeable number, because it can be changed into a prime (21221110010123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7998059 + ... + 10315578.

It is an arithmetic number, because the mean of its divisors is an integer number (760244897475).

Almost surely, 221221110010120 is an apocalyptic number.

21221110010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221110010120 is an abundant number, since it is smaller than the sum of its proper divisors (27434563428280).

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

21221110010120 is a wasteful number, since it uses less digits than its factorization.

21221110010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18314198 (or 18314194 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21221110010120 its reverse (2101001112212), we get a palindrome (23322111122332).

The spelling of 21221110010120 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred ten million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 491 590 982 1180 1964 2360 2455 3928 4910 9820 19640 28969 57938 115876 144845 231752 289690 579380 1158760 18313637 36627274 73254548 91568185 146509096 183136370 366272740 732545480 1080504583 2161009166 4322018332 5402522915 8644036664 8991995767 10805045830 17983991534 21610091660 35967983068 43220183320 44959978835 71935966136 89919957670 179839915340 359679830680 530527750253 1061055500506 2122111001012 2652638751265 4244222002024 5305277502530 10610555005060 21221110010120