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10202012020200 = 233527111337459091
BaseRepresentation
bin1001010001110101011101…
…0011010110110111101000
31100010022011202111011011110
42110131113103112313220
52314122210034121300
633410423431430320
72102033240235360
oct224352723266750
940108152434143
1010202012020200
113283715901830
1211892752253a0
1359007926cca0
14273acc5179a0
1512a59ed51550
hex947574d6de8

10202012020200 has 768 divisors, whose sum is σ = 43610948720640. Its totient is φ = 1903938048000.

The previous prime is 10202012020183. The next prime is 10202012020247. The reversal of 10202012020200 is 202021020201.

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

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, 21992655 + ... + 22451745.

It is an arithmetic number, because the mean of its divisors is an integer number (56785089480).

Almost surely, 210202012020200 is an apocalyptic number.

10202012020200 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 10202012020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21805474360320).

10202012020200 is an abundant number, since it is smaller than the sum of its proper divisors (33408936700440).

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

10202012020200 is a wasteful number, since it uses less digits than its factorization.

10202012020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459178 (or 459169 counting only the distinct ones).

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

Adding to 10202012020200 its reverse (202021020201), we get a palindrome (10404033040401).

Subtracting from 10202012020200 its reverse (202021020201), we obtain a palindrome (9999990999999).

The spelling of 10202012020200 in words is "ten trillion, two hundred two billion, twelve million, twenty thousand, two hundred".