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2121101420 = 2254314916553
BaseRepresentation
bin111111001101101…
…0111000001101100
312110211020010010212
41332123113001230
513321000221140
6550250321552
7103364031104
oct17633270154
95424203125
102121101420
11999340989
124b24292b8
1327a5986c9
141619c0204
15c6334765
hex7e6d706c

2121101420 has 48 divisors (see below), whose sum is σ = 4588768800. Its totient is φ = 823097856.

The previous prime is 2121101401. The next prime is 2121101429. The reversal of 2121101420 is 241011212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2121101395 and 2121101404.

It is not an unprimeable number, because it can be changed into a prime (2121101429) 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, 119864 + ... + 136416.

It is an arithmetic number, because the mean of its divisors is an integer number (95599350).

Almost surely, 22121101420 is an apocalyptic number.

2121101420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121101420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294384400).

2121101420 is an abundant number, since it is smaller than the sum of its proper divisors (2467667380).

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

2121101420 is a wasteful number, since it uses less digits than its factorization.

2121101420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16754 (or 16752 counting only the distinct ones).

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

The square root of 2121101420 is about 46055.4168366762. The cubic root of 2121101420 is about 1284.8540907371.

Adding to 2121101420 its reverse (241011212), we get a palindrome (2362112632).

The spelling of 2121101420 in words is "two billion, one hundred twenty-one million, one hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 149 172 215 298 430 596 745 860 1490 2980 6407 12814 16553 25628 32035 33106 64070 66212 82765 128140 165530 331060 711779 1423558 2466397 2847116 3558895 4932794 7117790 9865588 12331985 14235580 24663970 49327940 106055071 212110142 424220284 530275355 1060550710 2121101420