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1220020020100 = 2252723181499839
BaseRepresentation
bin10001110000001110110…
…111000010001110000100
311022122002021220111122101
4101300032313002032010
5124442100111120400
62332245223041444
7154100143031410
oct21601667021604
94278067814571
101220020020100
1143045354a552
121785462a0284
138b080181c4b
1443099341d40
1521b075ad56a
hex11c0edc2384

1220020020100 has 288 divisors, whose sum is σ = 3184796160000. Its totient is φ = 396624729600.

The previous prime is 1220020020067. The next prime is 1220020020119. The reversal of 1220020020100 is 10200200221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1454135481 + ... + 1454136319.

It is an arithmetic number, because the mean of its divisors is an integer number (11058320000).

Almost surely, 21220020020100 is an apocalyptic number.

1220020020100 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 1220020020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592398080000).

1220020020100 is an abundant number, since it is smaller than the sum of its proper divisors (1964776139900).

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

1220020020100 is a wasteful number, since it uses less digits than its factorization.

1220020020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1220020020100 its reverse (10200200221), we get a palindrome (1230220220321).

The spelling of 1220020020100 in words is "one trillion, two hundred twenty billion, twenty million, twenty thousand, one hundred".