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1010002202001 = 33135215523031
BaseRepresentation
bin11101011001010001101…
…00101000110110010001
310120112222210022221012000
432230220310220312101
5113021441030431001
62051553312224213
7132653540031552
oct16545064506621
93515883287160
101010002202001
1135a380a04341
121438b383b069
1374320577370
1436c549c0329
151b41490ba86
hexeb28d28d91

1010002202001 has 32 divisors (see below), whose sum is σ = 1614492714240. Its totient is φ = 620346729600.

The previous prime is 1010002201979. The next prime is 1010002202051. The reversal of 1010002202001 is 1002022000101.

It is not a de Polignac number, because 1010002202001 - 25 = 1010002201969 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1010002202051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2578645 + ... + 2944386.

It is an arithmetic number, because the mean of its divisors is an integer number (50452897320).

Almost surely, 21010002202001 is an apocalyptic number.

It is an amenable number.

1010002202001 is a deficient number, since it is larger than the sum of its proper divisors (604490512239).

1010002202001 is a wasteful number, since it uses less digits than its factorization.

1010002202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523574 (or 5523568 counting only the distinct ones).

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

Adding to 1010002202001 its reverse (1002022000101), we get a palindrome (2012024202102).

The spelling of 1010002202001 in words is "one trillion, ten billion, two million, two hundred two thousand, one".

Divisors: 1 3 9 13 27 39 117 351 521 1563 4689 6773 14067 20319 60957 182871 5523031 16569093 49707279 71799403 149121837 215398209 646194627 1938583881 2877499151 8632497453 25897492359 37407488963 77692477077 112222466889 336667400667 1010002202001