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2020212110100 = 22352374110143951
BaseRepresentation
bin11101011001011110000…
…001100111001100010100
321011010112001111102120110
4131121132001213030110
5231044343300010400
64144023404403020
7265645511414532
oct35313601471424
97133461442513
102020212110100
11709849084308
12287644b46470
13118674b76432
146dac8dcb152
153783c695e50
hex1d65e067314

2020212110100 has 288 divisors, whose sum is σ = 6210569498112. Its totient is φ = 506304000000.

The previous prime is 2020212110099. The next prime is 2020212110113. The reversal of 2020212110100 is 10112120202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45943125 + ... + 45987075.

It is an arithmetic number, because the mean of its divisors is an integer number (21564477424).

Almost surely, 22020212110100 is an apocalyptic number.

2020212110100 is a gapful number since it is divisible by the number (20) 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 2020212110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105284749056).

2020212110100 is an abundant number, since it is smaller than the sum of its proper divisors (4190357388012).

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

2020212110100 is a wasteful number, since it uses less digits than its factorization.

2020212110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44147 (or 44140 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2020212110100 its reverse (10112120202), we get a palindrome (2030324230302).

It can be divided in two parts, 2020212 and 110100, that added together give a palindrome (2130312).

The spelling of 2020212110100 in words is "two trillion, twenty billion, two hundred twelve million, one hundred ten thousand, one hundred".