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21000011222120 = 2357119696266191
BaseRepresentation
bin1001100011001011100100…
…01101011000110001101000
32202100120200220000001222212
410301211302031120301220
510223031010333101440
6112355134425104252
74265125566120320
oct461456215306150
982316626001885
1021000011222120
116767066958307
122431b39328088
13b943a59ab488
14528597d86280
152663d25b7465
hex131972358c68

21000011222120 has 64 divisors (see below), whose sum is σ = 54004549132800. Its totient is φ = 7199401144320.

The previous prime is 21000011222081. The next prime is 21000011222123. The reversal of 21000011222120 is 2122211000012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21000011222095 and 21000011222104.

It is not an unprimeable number, because it can be changed into a prime (21000011222123) 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, 218225 + ... + 6484415.

It is an arithmetic number, because the mean of its divisors is an integer number (843821080200).

Almost surely, 221000011222120 is an apocalyptic number.

21000011222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000011222120 is an abundant number, since it is smaller than the sum of its proper divisors (33004537910680).

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

21000011222120 is a wasteful number, since it uses less digits than its factorization.

21000011222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278178 (or 6278174 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21000011222120 its reverse (2122211000012), we get a palindrome (23122222222132).

The spelling of 21000011222120 in words is "twenty-one trillion, eleven million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 11969 23938 47876 59845 83783 95752 119690 167566 239380 335132 418915 478760 670264 837830 1675660 3351320 6266191 12532382 25064764 31330955 43863337 50129528 62661910 87726674 125323820 175453348 219316685 250647640 350906696 438633370 877266740 1754533480 75000040079 150000080158 300000160316 375000200395 525000280553 600000320632 750000400790 1050000561106 1500000801580 2100001122212 2625001402765 3000001603160 4200002244424 5250002805530 10500005611060 21000011222120