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10210220202000 = 2435371331603227
BaseRepresentation
bin1001010010010100000010…
…0011000101100000010000
31100011002100210121222210210
42110211000203011200100
52314241012332431000
633414302125324120
72102443526520510
oct224450043054020
940132323558723
1010210220202000
113287148140255
12118a986106640
13590a869734b0
1427426a6d3840
1512a8d0770350
hex949408c5810

10210220202000 has 640 divisors, whose sum is σ = 41821131276288. Its totient is φ = 2084749056000.

The previous prime is 10210220201903. The next prime is 10210220202011. The reversal of 10210220202000 is 20202201201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16624387 + ... + 17227613.

Almost surely, 210210220202000 is an apocalyptic number.

10210220202000 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 10210220202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20910565638144).

10210220202000 is an abundant number, since it is smaller than the sum of its proper divisors (31610911074288).

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

10210220202000 is a wasteful number, since it uses less digits than its factorization.

10210220202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603304 (or 603288 counting only the distinct ones).

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

Adding to 10210220202000 its reverse (20202201201), we get a palindrome (10230422403201).

The spelling of 10210220202000 in words is "ten trillion, two hundred ten billion, two hundred twenty million, two hundred two thousand".