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202000002020 = 225171015882353
BaseRepresentation
bin1011110000100000100…
…0110110101111100100
3201022101201122022111022
42330020020312233210
511302144000031040
6232444133030312
720410514454455
oct2741010665744
9638351568438
10202000002020
117873880a333
1233195485398
131608279741b
149ac397b12c
1553c3d376b5
hex2f08236be4

202000002020 has 48 divisors (see below), whose sum is σ = 453600081648. Its totient is φ = 75294105600.

The previous prime is 202000001999. The next prime is 202000002041. The reversal of 202000002020 is 20200000202.

It is an interprime number because it is at equal distance from previous prime (202000001999) and next prime (202000002041).

It can be written as a sum of positive squares in 8 ways, for example, as 49458201664 + 152541800356 = 222392^2 + 390566^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202000001989 and 202000002007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2906837 + ... + 2975516.

It is an arithmetic number, because the mean of its divisors is an integer number (9450001701).

Almost surely, 2202000002020 is an apocalyptic number.

202000002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202000002020 is an abundant number, since it is smaller than the sum of its proper divisors (251600079628).

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

202000002020 is a wasteful number, since it uses less digits than its factorization.

202000002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882480 (or 5882478 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 202000002020 its reverse (20200000202), we get a palindrome (222200002222).

It can be divided in two parts, 20200000 and 2020, that multiplied together give a square (40804000000 = 2020002).

The spelling of 202000002020 in words is "two hundred two billion, two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1717 2020 3434 6868 8585 17170 34340 5882353 11764706 23529412 29411765 58823530 100000001 117647060 200000002 400000004 500000005 594117653 1000000010 1188235306 2000000020 2376470612 2970588265 5941176530 10100000101 11882353060 20200000202 40400000404 50500000505 101000001010 202000002020