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1220002202100 = 22352116122812657
BaseRepresentation
bin10001110000001101110…
…011000100000111110100
311022122001001101020221110
4101300031303010013310
5124442031030431400
62332243345115020
7154066535421033
oct21601563040764
94278031336843
101220002202100
1143044448a630
12178540328a70
138b079583a56
1443096c2471a
1521b05c3de50
hex11c0dcc41f4

1220002202100 has 288 divisors, whose sum is σ = 3917087540352. Its totient is φ = 290672640000.

The previous prime is 1220002202051. The next prime is 1220002202119. The reversal of 1220002202100 is 12022000221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 459163972 + ... + 459166628.

It is an arithmetic number, because the mean of its divisors is an integer number (13600998404).

Almost surely, 21220002202100 is an apocalyptic number.

1220002202100 is a gapful number since it is divisible by the number (10) 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 1220002202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958543770176).

1220002202100 is an abundant number, since it is smaller than the sum of its proper divisors (2697085338252).

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

1220002202100 is a wasteful number, since it uses less digits than its factorization.

1220002202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1220002202100 its reverse (12022000221), we get a palindrome (1232024202321).

The spelling of 1220002202100 in words is "one trillion, two hundred twenty billion, two million, two hundred two thousand, one hundred".