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22100210012120 = 235760797262257
BaseRepresentation
bin1010000011001100110110…
…01010101100111111011000
32220020202111122010102100012
411001212123022230333120
510344042212230341440
6115000410223301052
74440454543412462
oct501463312547730
986222448112305
1022100210012120
117050712445159
12258b20374a788
13c4406ba09066
145659279d9132
15284d25733e65
hex14199b2acfd8

22100210012120 has 32 divisors (see below), whose sum is σ = 49726132977600. Its totient is φ = 8839966591488.

The previous prime is 22100210012107. The next prime is 22100210012123. The reversal of 22100210012120 is 2121001200122.

It is a junction number, because it is equal to n+sod(n) for n = 22100210012095 and 22100210012104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100210012123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 587969 + ... + 6674288.

It is an arithmetic number, because the mean of its divisors is an integer number (1553941655550).

Almost surely, 222100210012120 is an apocalyptic number.

22100210012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100210012120 is an abundant number, since it is smaller than the sum of its proper divisors (27625922965480).

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

22100210012120 is a wasteful number, since it uses less digits than its factorization.

22100210012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7338347 (or 7338343 counting only the distinct ones).

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

Adding to 22100210012120 its reverse (2121001200122), we get a palindrome (24221211212242).

The spelling of 22100210012120 in words is "twenty-two trillion, one hundred billion, two hundred ten million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 76079 152158 304316 380395 608632 760790 1521580 3043160 7262257 14524514 29049028 36311285 58098056 72622570 145245140 290490280 552505250303 1105010500606 2210021001212 2762526251515 4420042002424 5525052503030 11050105006060 22100210012120