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1002000100002 = 231121917225997
BaseRepresentation
bin11101001010010111101…
…11000010101010100010
310112210100002222000212220
432211023313002222202
5112404044011200002
62044151255331510
7132251332215246
oct16451367025242
93483302860786
101002000100002
11356a44a30700
1214223b980b96
1373646779575
14366d5d2a426
151b0e71487bc
hexe94bdc2aa2

1002000100002 has 48 divisors (see below), whose sum is σ = 2214277019136. Its totient is φ = 302046632800.

The previous prime is 1002000099949. The next prime is 1002000100019. The reversal of 1002000100002 is 2000010002001.

It is a happy number.

1002000100002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3474333 + ... + 3751664.

It is an arithmetic number, because the mean of its divisors is an integer number (46130771232).

Almost surely, 21002000100002 is an apocalyptic number.

1002000100002 is an abundant number, since it is smaller than the sum of its proper divisors (1212276919134).

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

1002000100002 is a wasteful number, since it uses less digits than its factorization.

1002000100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7226215 (or 7226204 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1002000100002 its reverse (2000010002001), we get a palindrome (3002010102003).

The spelling of 1002000100002 in words is "one trillion, two billion, one hundred thousand, two".

Divisors: 1 2 3 6 11 22 33 66 121 191 242 363 382 573 726 1146 2101 4202 6303 12606 23111 46222 69333 138666 7225997 14451994 21677991 43355982 79485967 158971934 238457901 476915802 874345637 1380165427 1748691274 2623036911 2760330854 4140496281 5246073822 8280992562 15181819697 30363639394 45545459091 91090918182 167000016667 334000033334 501000050001 1002000100002