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1020212020200 = 233525335299091
BaseRepresentation
bin11101101100010010110…
…00000000001111101000
310121112100022220102202210
432312021120000033220
5113203343234121300
62100402352125120
7133464543042432
oct16661130001750
93545308812683
101020212020200
113637400a791a
12145882b367a0
13752898789c9
143754295d652
151b810e13050
hexed896003e8

1020212020200 has 192 divisors, whose sum is σ = 3223597694400. Its totient is φ = 266818406400.

The previous prime is 1020212020199. The next prime is 1020212020207. The reversal of 1020212020200 is 20202120201.

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

It is not an unprimeable number, because it can be changed into a prime (1020212020207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 112217655 + ... + 112226745.

It is an arithmetic number, because the mean of its divisors is an integer number (16789571325).

Almost surely, 21020212020200 is an apocalyptic number.

1020212020200 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 1020212020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611798847200).

1020212020200 is an abundant number, since it is smaller than the sum of its proper divisors (2203385674200).

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

1020212020200 is a wasteful number, since it uses less digits than its factorization.

1020212020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12692 (or 12683 counting only the distinct ones).

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

Adding to 1020212020200 its reverse (20202120201), we get a palindrome (1040414140401).

The spelling of 1020212020200 in words is "one trillion, twenty billion, two hundred twelve million, twenty thousand, two hundred".