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2101222221120 = 2632511376129387
BaseRepresentation
bin11110100100111010100…
…110101010010101000000
321102212121210022110101200
4132210322212222111000
5233411300342033440
64245142124301200
7304544150121321
oct36447246522500
97385553273350
102101222221120
1174013a18a790
1229b2930a1800
131231b5348679
14739b1d86448
15399ce691c30
hex1e93a9aa540

2101222221120 has 672 divisors, whose sum is σ = 8230474751616. Its totient is φ = 487478476800.

The previous prime is 2101222221067. The next prime is 2101222221127. The reversal of 2101222221120 is 211222221012.

It is a happy number.

2101222221120 is a `hidden beast` number, since 2 + 101 + 222 + 221 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2101222221093 and 2101222221102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101222221127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71487067 + ... + 71516453.

Almost surely, 22101222221120 is an apocalyptic number.

2101222221120 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 2101222221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115237375808).

2101222221120 is an abundant number, since it is smaller than the sum of its proper divisors (6129252530496).

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

2101222221120 is a wasteful number, since it uses less digits than its factorization.

2101222221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29519 (or 29506 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2101222221120 its reverse (211222221012), we get a palindrome (2312444442132).

The spelling of 2101222221120 in words is "two trillion, one hundred one billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".