Search a number
-
+
1022021000020 = 225479371160359
BaseRepresentation
bin11101101111101010011…
…00101101101101010100
310121201000101211010120101
432313311030231231110
5113221044334000040
62101302052543444
7133560430110166
oct16676514555524
93551011733511
101022021000020
11364489235169
121460a8921b84
13754b7591177
1437674cd2936
151b8b9b4209a
hexedf532db54

1022021000020 has 48 divisors (see below), whose sum is σ = 2194250042880. Its totient is φ = 399682992384.

The previous prime is 1022021000009. The next prime is 1022021000051. The reversal of 1022021000020 is 200001202201.

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 = 1022020999970 and 1022021000006.

It is a congruent number.

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, 300601 + ... + 1460959.

It is an arithmetic number, because the mean of its divisors is an integer number (45713542560).

Almost surely, 21022021000020 is an apocalyptic number.

1022021000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022021000020 is an abundant number, since it is smaller than the sum of its proper divisors (1172229042860).

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

1022021000020 is a wasteful number, since it uses less digits than its factorization.

1022021000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161352 (or 1161350 counting only the distinct ones).

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

Adding to 1022021000020 its reverse (200001202201), we get a palindrome (1222022202221).

The spelling of 1022021000020 in words is "one trillion, twenty-two billion, twenty-one million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 10 20 47 94 188 235 470 937 940 1874 3748 4685 9370 18740 44039 88078 176156 220195 440390 880780 1160359 2320718 4641436 5801795 11603590 23207180 54536873 109073746 218147492 272684365 545368730 1087256383 1090737460 2174512766 4349025532 5436281915 10872563830 21745127660 51101050001 102202100002 204404200004 255505250005 511010500010 1022021000020