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10100010100010 = 251010001010001
BaseRepresentation
bin1001001011111001011110…
…0000111010010100101010
31022202112220001212201200112
42102332113200322110222
52310434310041200020
633251514112334322
72061462444230015
oct222762740722452
938675801781615
1010100010100010
113244432438436
121171548b443a2
13583571a931ac
1426cbb365c37c
15127aceec52c5
hex92f9783a52a

10100010100010 has 8 divisors (see below), whose sum is σ = 18180018180036. Its totient is φ = 4040004040000.

The previous prime is 10100010100003. The next prime is 10100010100021. The reversal of 10100010100010 is 1000101000101.

10100010100010 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 2 ways, for example, as 9209944274521 + 890065825489 = 3034789^2 + 943433^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 10100010099967 and 10100010100003.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 505000504991 + ... + 505000505010.

Almost surely, 210100010100010 is an apocalyptic number.

10100010100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100010100010 is a deficient number, since it is larger than the sum of its proper divisors (8080008080026).

10100010100010 is a wasteful number, since it uses less digits than its factorization.

10100010100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010001010008.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10100010100010 its reverse (1000101000101), we get a palindrome (11100111100111).

Subtracting from 10100010100010 its reverse (1000101000101), we obtain a palindrome (9099909099909).

The spelling of 10100010100010 in words is "ten trillion, one hundred billion, ten million, one hundred thousand, ten".

Divisors: 1 2 5 10 1010001010001 2020002020002 5050005050005 10100010100010