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2210212100120 = 2353110117647813
BaseRepresentation
bin100000001010011010111…
…010000011100000011000
321211021221110222222020212
4200022122322003200120
5242203003244200440
64411205111510252
7315453054605513
oct40123272034030
97737843888225
102210212100120
11782389123a52
122b842b688388
131305644a372b
1478d90d45d7a
153c75cc59465
hex2029ae83818

2210212100120 has 64 divisors (see below), whose sum is σ = 5184221840640. Its totient is φ = 847094976000.

The previous prime is 2210212100113. The next prime is 2210212100149. The reversal of 2210212100120 is 210012120122.

It is a junction number, because it is equal to n+sod(n) for n = 2210212100095 and 2210212100104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8698667 + ... + 8949146.

It is an arithmetic number, because the mean of its divisors is an integer number (81003466260).

Almost surely, 22210212100120 is an apocalyptic number.

2210212100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210212100120 is an abundant number, since it is smaller than the sum of its proper divisors (2974009740520).

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

2210212100120 is a wasteful number, since it uses less digits than its factorization.

2210212100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17647956 (or 17647952 counting only the distinct ones).

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

Adding to 2210212100120 its reverse (210012120122), we get a palindrome (2420224220242).

The spelling of 2210212100120 in words is "two trillion, two hundred ten billion, two hundred twelve million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 101 124 155 202 248 310 404 505 620 808 1010 1240 2020 3131 4040 6262 12524 15655 25048 31310 62620 125240 17647813 35295626 70591252 88239065 141182504 176478130 352956260 547082203 705912520 1094164406 1782429113 2188328812 2735411015 3564858226 4376657624 5470822030 7129716452 8912145565 10941644060 14259432904 17824291130 21883288120 35648582260 55255302503 71297164520 110510605006 221021210012 276276512515 442042420024 552553025030 1105106050060 2210212100120