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2120220102 = 23721113293747
BaseRepresentation
bin111111001011111…
…1111110111000110
312110202120100012110
41332113333313012
513320234020402
6550215401450
7103353400500
oct17627776706
95422510173
102120220102
11998899820
124b2083286
1327a34a510
14161830d70
15c620d56c
hex7e5ffdc6

2120220102 has 384 divisors, whose sum is σ = 6287984640. Its totient is φ = 467389440.

The previous prime is 2120220101. The next prime is 2120220119. The reversal of 2120220102 is 2010220212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120220101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45111043 + ... + 45111089.

It is an arithmetic number, because the mean of its divisors is an integer number (16374960).

Almost surely, 22120220102 is an apocalyptic number.

2120220102 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 2120220102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143992320).

2120220102 is an abundant number, since it is smaller than the sum of its proper divisors (4167764538).

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

2120220102 is a wasteful number, since it uses less digits than its factorization.

2120220102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

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

The square root of 2120220102 is about 46045.8478258355. The cubic root of 2120220102 is about 1284.6761137207.

Adding to 2120220102 its reverse (2010220212), we get a palindrome (4130440314).

It can be divided in two parts, 2120 and 220102, that added together give a palindrome (222222).

The spelling of 2120220102 in words is "two billion, one hundred twenty million, two hundred twenty thousand, one hundred two".