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1022000002001 = 114310132036679
BaseRepresentation
bin11101101111100111111…
…00100111001111010001
310121200221221022022200222
432313303330213033101
5113221024000031001
62101300022522425
7133560053453366
oct16676374471721
93550857268628
101022000002001
113644783a3030
121460a1896415
13754b311b6c4
14376721c846d
151b8b7d9561b
hexedf3f273d1

1022000002001 has 32 divisors (see below), whose sum is σ = 1152664888320. Its totient is φ = 898084152000.

The previous prime is 1022000001977. The next prime is 1022000002007. The reversal of 1022000002001 is 1002000002201.

It is a cyclic number.

It is not a de Polignac number, because 1022000002001 - 218 = 1021999739857 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1022000002001.

It is not an unprimeable number, because it can be changed into a prime (1022000002007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153013580 + ... + 153020258.

It is an arithmetic number, because the mean of its divisors is an integer number (36020777760).

Almost surely, 21022000002001 is an apocalyptic number.

1022000002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022000002001 is a deficient number, since it is larger than the sum of its proper divisors (130664886319).

1022000002001 is a wasteful number, since it uses less digits than its factorization.

1022000002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10037.

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

Adding to 1022000002001 its reverse (1002000002201), we get a palindrome (2024000004202).

The spelling of 1022000002001 in words is "one trillion, twenty-two billion, two thousand, one".

Divisors: 1 11 43 101 473 1111 3203 4343 6679 35233 47773 73469 137729 287197 323503 674579 1515019 3159167 3558533 7420369 13910629 21392837 29006897 153016919 235321207 319075867 919891991 2160676537 10118811901 23767441907 92909091091 1022000002001