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20020120101 = 3229317241973
BaseRepresentation
bin10010101001010010…
…101100101000100101
31220200020101110211200
4102221102230220211
5312000122320401
613110324353113
71306055133042
oct225122545045
956606343750
1020020120101
118543921603
123a68845799
131b70900917
14d7cc421c9
157c28e2686
hex4a94aca25

20020120101 has 24 divisors (see below), whose sum is σ = 30009615480. Its totient is φ = 12845809536.

The previous prime is 20020120079. The next prime is 20020120123. The reversal of 20020120101 is 10102102002.

It is an interprime number because it is at equal distance from previous prime (20020120079) and next prime (20020120123).

It can be written as a sum of positive squares in 4 ways, for example, as 419840100 + 19600280001 = 20490^2 + 140001^2 .

It is not a de Polignac number, because 20020120101 - 26 = 20020120037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020125101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38250 + ... + 203723.

It is an arithmetic number, because the mean of its divisors is an integer number (1250400645).

Almost surely, 220020120101 is an apocalyptic number.

It is an amenable number.

20020120101 is a deficient number, since it is larger than the sum of its proper divisors (9989495379).

20020120101 is a wasteful number, since it uses less digits than its factorization.

20020120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242325 (or 242322 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20020120101 its reverse (10102102002), we get a palindrome (30122222103).

The spelling of 20020120101 in words is "twenty billion, twenty million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 9 29 87 261 317 951 2853 9193 27579 82737 241973 725919 2177757 7017217 21051651 63154953 76705441 230116323 690348969 2224457789 6673373367 20020120101