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22010202102120 = 2335296324770719
BaseRepresentation
bin1010000000100101001100…
…10001110001100101101000
32212221011011211100211201220
411000102212101301211220
510341103343214231440
6114451203001342040
74431120216662631
oct500224621614550
985834154324656
1022010202102120
117016524311181
122575884197920
13c3872637760b
14561429a3c888
152828088438d0
hex1404a6471968

22010202102120 has 64 divisors (see below), whose sum is σ = 68307523776000. Its totient is φ = 5666994563328.

The previous prime is 22010202102073. The next prime is 22010202102127. The reversal of 22010202102120 is 2120120201022.

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 22010202102120.

It is not an unprimeable number, because it can be changed into a prime (22010202102127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3162381880 + ... + 3162388839.

It is an arithmetic number, because the mean of its divisors is an integer number (1067305059000).

Almost surely, 222010202102120 is an apocalyptic number.

22010202102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010202102120 is an abundant number, since it is smaller than the sum of its proper divisors (46297321673880).

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

22010202102120 is a wasteful number, since it uses less digits than its factorization.

22010202102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6324770762 (or 6324770758 counting only the distinct ones).

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

Adding to 22010202102120 its reverse (2120120201022), we get a palindrome (24130322303142).

The spelling of 22010202102120 in words is "twenty-two trillion, ten billion, two hundred two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 6324770719 12649541438 18974312157 25299082876 31623853595 37948624314 50598165752 63247707190 75897248628 94871560785 126495414380 151794497256 183418350851 189743121570 252990828760 366836701702 379486243140 550255052553 733673403404 758972486280 917091754255 1100510105106 1467346806808 1834183508510 2201020210212 2751275262765 3668367017020 4402040420424 5502550525530 7336734034040 11005101051060 22010202102120