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2121010310320 = 245115474406287
BaseRepresentation
bin11110110111010110000…
…100001110110010110000
321111202200212002112200021
4132313112010032302300
5234222312114412240
64302213443533224
7306144420112426
oct36672604166260
97452625075607
102121010310320
11748574031010
122a309608a214
13125019b587a5
147492c069116
153a28b9ee54a
hex1edd610ecb0

2121010310320 has 80 divisors (see below), whose sum is σ = 5389489479168. Its totient is φ = 769866289920.

The previous prime is 2121010310249. The next prime is 2121010310323. The reversal of 2121010310320 is 230130101212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2121010310294 and 2121010310303.

It is not an unprimeable number, because it can be changed into a prime (2121010310323) 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, 1721784 + ... + 2684503.

Almost surely, 22121010310320 is an apocalyptic number.

2121010310320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121010310320 is an abundant number, since it is smaller than the sum of its proper divisors (3268479168848).

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

2121010310320 is a wasteful number, since it uses less digits than its factorization.

2121010310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406858 (or 4406852 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2121010310320 its reverse (230130101212), we get a palindrome (2351140411532).

The spelling of 2121010310320 in words is "two trillion, one hundred twenty-one billion, ten million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 547 880 1094 2188 2735 4376 5470 6017 8752 10940 12034 21880 24068 30085 43760 48136 60170 96272 120340 240680 481360 4406287 8812574 17625148 22031435 35250296 44062870 48469157 70500592 88125740 96938314 176251480 193876628 242345785 352502960 387753256 484691570 775506512 969383140 1938766280 2410238989 3877532560 4820477978 9640955956 12051194945 19281911912 24102389890 26512628879 38563823824 48204779780 53025257758 96409559560 106050515516 132563144395 192819119120 212101031032 265126288790 424202062064 530252577580 1060505155160 2121010310320