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221002211012100 = 223527106199188641
BaseRepresentation
bin110010010000000000010110…
…010010000010111000000100
31001222111121100001221001010020
4302100000112102002320010
5212431400012004341400
62102011003015455140
764356611545361040
oct6220002622027004
91058447301831106
10221002211012100
1164466569667401
12209538613874b0
13964155a92721b
143c807c7bd1020
151a83b948312a0
hexc90016482e04

221002211012100 has 144 divisors (see below), whose sum is σ = 731469417710976. Its totient is φ = 50467180032000.

The previous prime is 221002211012053. The next prime is 221002211012131. The reversal of 221002211012100 is 1210112200122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221002211012100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47366221 + ... + 51822420.

It is an arithmetic number, because the mean of its divisors is an integer number (5079648734104).

Almost surely, 2221002211012100 is an apocalyptic number.

221002211012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002211012100 is an abundant number, since it is smaller than the sum of its proper divisors (510467206698876).

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

221002211012100 is a wasteful number, since it uses less digits than its factorization.

221002211012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99189726 (or 99189719 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221002211012100 its reverse (1210112200122), we get a palindrome (222212323212222).

The spelling of 221002211012100 in words is "two hundred twenty-one trillion, two billion, two hundred eleven million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1061 2100 2122 3183 4244 5305 6366 7427 10610 12732 14854 15915 21220 22281 26525 29708 31830 37135 44562 53050 63660 74270 79575 89124 106100 111405 148540 159150 185675 222810 318300 371350 445620 557025 742700 1114050 2228100 99188641 198377282 297565923 396754564 495943205 595131846 694320487 991886410 1190263692 1388640974 1487829615 1983772820 2082961461 2479716025 2777281948 2975659230 3471602435 4165922922 4959432050 5951318460 6943204870 7439148075 8331845844 9918864100 10414807305 13886409740 14878296150 17358012175 20829614610 29756592300 34716024350 41659229220 52074036525 69432048700 104148073050 105239148101 208296146100 210478296202 315717444303 420956592404 526195740505 631434888606 736674036707 1052391481010 1262869777212 1473348073414 1578587221515 2104782962020 2210022110121 2630978702525 2946696146828 3157174443030 3683370183535 4420044220242 5261957405050 6314348886060 7366740367070 7892936107575 8840088440484 10523914810100 11050110550605 14733480734140 15785872215150 18416850917675 22100221101210 31571744430300 36833701835350 44200442202420 55250552753025 73667403670700 110501105506050 221002211012100