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1022001000210 = 232519358837133
BaseRepresentation
bin11101101111101000000…
…00011010111100010010
310121200222000012000222200
432313310000122330102
5113221024224001320
62101300100144030
7133560065111541
oct16676400327422
93550860160880
101022001000210
11364478a14aa3
121460a2098016
13754b33aab68
14376723a8158
151b8b7ee1290
hexedf401af12

1022001000210 has 48 divisors (see below), whose sum is σ = 2670970535064. Its totient is φ = 271121504256.

The previous prime is 1022001000193. The next prime is 1022001000211. The reversal of 1022001000210 is 120001002201.

1022001000210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 584779854681 + 437221145529 = 764709^2 + 661227^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1022001000192 and 1022001000201.

It is not an unprimeable number, because it can be changed into a prime (1022001000211) 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, 29401197 + ... + 29435936.

Almost surely, 21022001000210 is an apocalyptic number.

1022001000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022001000210 is an abundant number, since it is smaller than the sum of its proper divisors (1648969534854).

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

1022001000210 is a wasteful number, since it uses less digits than its factorization.

1022001000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58837339 (or 58837336 counting only the distinct ones).

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

Adding to 1022001000210 its reverse (120001002201), we get a palindrome (1142002002411).

The spelling of 1022001000210 in words is "one trillion, twenty-two billion, one million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 193 386 579 965 1158 1737 1930 2895 3474 5790 8685 17370 58837133 117674266 176511399 294185665 353022798 529534197 588371330 882556995 1059068394 1765113990 2647670985 5295341970 11355566669 22711133338 34066700007 56777833345 68133400014 102200100021 113555666690 170333500035 204400200042 340667000070 511000500105 1022001000210