Search a number
-
+
1000100100010 = 251173137909091
BaseRepresentation
bin11101000110110101001…
…11000111011110101010
310112121102200210000212211
432203122213013132222
5112341201111200020
62043234543555334
7132153261405544
oct16433247073652
93477380700784
101000100100010
1135615a485580
121419ab5bbb4a
1373402c45a0b
1436595862694
151b03543a85a
hexe8da9c77aa

1000100100010 has 64 divisors (see below), whose sum is σ = 2005267860864. Its totient is φ = 356072371200.

The previous prime is 1000100100001. The next prime is 1000100100017. The reversal of 1000100100010 is 100010010001.

It is not an unprimeable number, because it can be changed into a prime (1000100100017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645565 + ... + 1554655.

It is an arithmetic number, because the mean of its divisors is an integer number (31332310326).

Almost surely, 21000100100010 is an apocalyptic number.

1000100100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000100100010 is an abundant number, since it is smaller than the sum of its proper divisors (1005167760854).

1000100100010 is a wasteful number, since it uses less digits than its factorization.

1000100100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909319.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1000100100010 its reverse (100010010001), we get a palindrome (1100110110011).

Subtracting from 1000100100010 its reverse (100010010001), we obtain a palindrome (900090090009).

The spelling of 1000100100010 in words is "one trillion, one hundred million, one hundred thousand, ten".

Divisors: 1 2 5 10 11 22 55 73 110 137 146 274 365 685 730 803 1370 1507 1606 3014 4015 7535 8030 10001 15070 20002 50005 100010 110011 220022 550055 909091 1100110 1818182 4545455 9090910 10000001 20000002 50000005 66363643 100000010 124545467 132727286 249090934 331818215 622727335 663636430 730000073 1245454670 1370000137 1460000146 2740000274 3650000365 6850000685 7300000730 9091819091 13700001370 18183638182 45459095455 90918190910 100010010001 200020020002 500050050005 1000100100010