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102020020 = 22518612741
BaseRepresentation
bin1100001010010…
…11001110110100
321002222011011021
412011023032310
5202104120040
614042350524
72346104314
oct605131664
9232864137
10102020020
1152651173
122a1bb444
13181a009b
14d799444
158e5324a
hex614b3b4

102020020 has 24 divisors (see below), whose sum is σ = 214435368. Its totient is φ = 40771200.

The previous prime is 102019997. The next prime is 102020021. The reversal of 102020020 is 20020201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2579236 + 99440784 = 1606^2 + 9972^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102019985 and 102020012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020021) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 35850 + ... + 38590.

It is an arithmetic number, because the mean of its divisors is an integer number (8934807).

Almost surely, 2102020020 is an apocalyptic number.

102020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020020 is an abundant number, since it is smaller than the sum of its proper divisors (112415348).

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

102020020 is a wasteful number, since it uses less digits than its factorization.

102020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 102020020 is about 10100.4960274236. The cubic root of 102020020 is about 467.2634394702.

Adding to 102020020 its reverse (20020201), we get a palindrome (122040221).

The spelling of 102020020 in words is "one hundred two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 1861 2741 3722 5482 7444 9305 10964 13705 18610 27410 37220 54820 5101001 10202002 20404004 25505005 51010010 102020020