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102020203121220 = 2232537113337433929
BaseRepresentation
bin10111001100100101101101…
…111101111000101001000100
3111101020000222100220021102200
4113030211231331320221010
5101332444333444334340
61000551233450434500
730326500511301336
oct2714455575705104
9441200870807380
10102020203121220
112a563586000a5a
12b538247732a30
1344c0605192ac7
141b29b3893d456
15bbdba628c330
hex5cc96df78a44

102020203121220 has 576 divisors, whose sum is σ = 322678826608320. Its totient is φ = 26069503574016.

The previous prime is 102020203121203. The next prime is 102020203121261. The reversal of 102020203121220 is 22121302020201.

102020203121220 is a `hidden beast` number, since 10 + 20 + 202 + 0 + 312 + 122 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 101777146233156 + 243056888064 = 10088466^2 + 493008^2 .

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 = 102020203121193 and 102020203121202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109817225716 + ... + 109817226644.

It is an arithmetic number, because the mean of its divisors is an integer number (560206296195).

Almost surely, 2102020203121220 is an apocalyptic number.

102020203121220 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 102020203121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161339413304160).

102020203121220 is an abundant number, since it is smaller than the sum of its proper divisors (220658623487100).

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

102020203121220 is a wasteful number, since it uses less digits than its factorization.

102020203121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102020203121220 its reverse (22121302020201), we get a palindrome (124141505141421).

The spelling of 102020203121220 in words is "one hundred two trillion, twenty billion, two hundred three million, one hundred twenty-one thousand, two hundred twenty".