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101042220 = 223517235973
BaseRepresentation
bin1100000010111…
…00100000101100
321001010110212110
412001130200230
5201331322340
614005404020
72334562506
oct601344054
9231113773
10101042220
1152043574
1229a09610
1317c19cc6
14d5c2d76
158d0d680
hex605c82c

101042220 has 192 divisors, whose sum is σ = 322237440. Its totient is φ = 23519232.

The previous prime is 101042189. The next prime is 101042239. The reversal of 101042220 is 22240101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101042196 and 101042205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1384104 + ... + 1384176.

It is an arithmetic number, because the mean of its divisors is an integer number (1678320).

Almost surely, 2101042220 is an apocalyptic number.

101042220 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 101042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161118720).

101042220 is an abundant number, since it is smaller than the sum of its proper divisors (221195220).

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

101042220 is a wasteful number, since it uses less digits than its factorization.

101042220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 182 counting only the distinct ones).

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

The square root of 101042220 is about 10051.9759251602. The cubic root of 101042220 is about 465.7658324804.

Adding to 101042220 its reverse (22240101), we get a palindrome (123282321).

The spelling of 101042220 in words is "one hundred one million, forty-two thousand, two hundred twenty".