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21120202022100 = 22352210133350339
BaseRepresentation
bin1001100110101011011100…
…01000111001110011010100
32202210001221012012022212020
410303111232020321303110
510232013133204201400
6112530253055053140
74306612203062016
oct463255610716324
982701835168766
1021120202022100
116803033491265
1224512a0b111b0
13ba281b57b42c
1453031a7981b6
152695b91ab2a0
hex13356e239cd4

21120202022100 has 72 divisors (see below), whose sum is σ = 61110710851680. Its totient is φ = 5631784164480.

The previous prime is 21120202022041. The next prime is 21120202022111. The reversal of 21120202022100 is 122020202112.

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 21120202022100.

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 23 ways as a sum of consecutive naturals, for example, 4628731 + ... + 7979069.

It is an arithmetic number, because the mean of its divisors is an integer number (848759872940).

Almost surely, 221120202022100 is an apocalyptic number.

21120202022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120202022100 is an abundant number, since it is smaller than the sum of its proper divisors (39990508829580).

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

21120202022100 is a wasteful number, since it uses less digits than its factorization.

21120202022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371369 (or 3371362 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21120202022100 its reverse (122020202112), we get a palindrome (21242222224212).

The spelling of 21120202022100 in words is "twenty-one trillion, one hundred twenty billion, two hundred two million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 21013 42026 63039 84052 105065 126078 210130 252156 315195 420260 525325 630390 1050650 1260780 1575975 2101300 3151950 3350339 6303900 6700678 10051017 13401356 16751695 20102034 33503390 40204068 50255085 67006780 83758475 100510170 167516950 201020340 251275425 335033900 502550850 1005101700 70400673407 140801346814 211202020221 281602693628 352003367035 422404040442 704006734070 844808080884 1056010101105 1408013468140 1760016835175 2112020202210 3520033670350 4224040404420 5280050505525 7040067340700 10560101011050 21120202022100