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2101421322 = 23271113223523
BaseRepresentation
bin111110101000001…
…0010010100001010
312102110012021010100
41331100102110022
513300430440242
6544304430230
7103034533530
oct17520222412
95373167110
102101421322
11989219a40
124a7918376
13276497a90
1415d13a150
15c474854c
hex7d41250a

2101421322 has 192 divisors, whose sum is σ = 6152380416. Its totient is φ = 500618880.

The previous prime is 2101421303. The next prime is 2101421353. The reversal of 2101421322 is 2231241012.

It is a happy number.

2101421322 is a `hidden beast` number, since 210 + 1 + 421 + 32 + 2 = 666.

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 = 2101421295 and 2101421304.

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 95 ways as a sum of consecutive naturals, for example, 4017753 + ... + 4018275.

It is an arithmetic number, because the mean of its divisors is an integer number (32043648).

Almost surely, 22101421322 is an apocalyptic number.

2101421322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101421322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076190208).

2101421322 is an abundant number, since it is smaller than the sum of its proper divisors (4050959094).

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

2101421322 is a wasteful number, since it uses less digits than its factorization.

2101421322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 782 counting only the distinct ones).

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

The square root of 2101421322 is about 45841.2622208420. The cubic root of 2101421322 is about 1280.8680070294.

Adding to 2101421322 its reverse (2231241012), we get a palindrome (4332662334).

The spelling of 2101421322 in words is "two billion, one hundred one million, four hundred twenty-one thousand, three hundred twenty-two".