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10022000102001 = 341931210065189
BaseRepresentation
bin1001000111010110110111…
…0000011000101001110001
31022111002112102022020020000
42101311231300120221301
52303200024011231001
633152013203340213
72053031335206336
oct221655560305161
938432472266200
1010022000102001
11321434086a2a8
12115a3b7681669
135790bc014a64
142690d2cd898d
15125a66591a86
hex91d6dc18a71

10022000102001 has 40 divisors (see below), whose sum is σ = 16267448313600. Its totient is φ = 6125500882080.

The previous prime is 10022000101969. The next prime is 10022000102003. The reversal of 10022000102001 is 10020100022001.

It is not a de Polignac number, because 10022000102001 - 25 = 10022000101969 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10022000102003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104984886 + ... + 105080303.

It is an arithmetic number, because the mean of its divisors is an integer number (406686207840).

Almost surely, 210022000102001 is an apocalyptic number.

It is an amenable number.

10022000102001 is a deficient number, since it is larger than the sum of its proper divisors (6245448211599).

10022000102001 is a wasteful number, since it uses less digits than its factorization.

10022000102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210065251 (or 210065242 counting only the distinct ones).

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

Adding to 10022000102001 its reverse (10020100022001), we get a palindrome (20042100124002).

The spelling of 10022000102001 in words is "ten trillion, twenty-two billion, one hundred two thousand, one".

Divisors: 1 3 9 19 27 31 57 81 93 171 279 513 589 837 1539 1767 2511 5301 15903 47709 210065189 630195567 1890586701 3991238591 5671760103 6512020859 11973715773 17015280309 19536062577 35921147319 58608187731 107763441957 123728396321 175824563193 323290325871 371185188963 527473689579 1113555566889 3340666700667 10022000102001