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1020002102020 = 2251110007463313
BaseRepresentation
bin11101101011111001101…
…11001110101100000100
310121111210200220111011101
432311330313032230010
5113202431014231040
62100325452545444
7133456413546166
oct16657467165404
93544720814141
101020002102020
11363642660220
12145824782284
137525522b175
1437522b18936
151b7ec79a09a
hexed7cdceb04

1020002102020 has 48 divisors (see below), whose sum is σ = 2336970642048. Its totient is φ = 370871989760.

The previous prime is 1020002102011. The next prime is 1020002102047. The reversal of 1020002102020 is 202012000201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1020002101988 and 1020002102006.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1969884 + ... + 2433196.

It is an arithmetic number, because the mean of its divisors is an integer number (48686888376).

Almost surely, 21020002102020 is an apocalyptic number.

1020002102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020002102020 is an abundant number, since it is smaller than the sum of its proper divisors (1316968540028).

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

1020002102020 is a wasteful number, since it uses less digits than its factorization.

1020002102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473340 (or 473338 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1020002102020 its reverse (202012000201), we get a palindrome (1222014102221).

The spelling of 1020002102020 in words is "one trillion, twenty billion, two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 10007 20014 40028 50035 100070 110077 200140 220154 440308 463313 550385 926626 1100770 1853252 2201540 2316565 4633130 5096443 9266260 10192886 20385772 25482215 50964430 101928860 4636373191 9272746382 18545492764 23181865955 46363731910 51000105101 92727463820 102000210202 204000420404 255000525505 510001051010 1020002102020