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1010340100 = 2252711131213
BaseRepresentation
bin111100001110001…
…001000100000100
32121102010121001201
4330032021010010
54032121340400
6244131032244
734015514650
oct7416110404
92542117051
101010340100
11479346520
1224243b684
1313141a7a3
149827da60
155da7506a
hex3c389104

1010340100 has 72 divisors (see below), whose sum is σ = 2733450048. Its totient is φ = 314908800.

The previous prime is 1010340053. The next prime is 1010340103. The reversal of 1010340100 is 10430101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1010340103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57907 + ... + 73306.

It is an arithmetic number, because the mean of its divisors is an integer number (37964584).

Almost surely, 21010340100 is an apocalyptic number.

1010340100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010340100 is an abundant number, since it is smaller than the sum of its proper divisors (1723109948).

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

1010340100 is a wasteful number, since it uses less digits than its factorization.

1010340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131245 (or 131238 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1010340100 is about 31785.8474796567. The cubic root of 1010340100 is about 1003.4348880354.

Adding to 1010340100 its reverse (10430101), we get a palindrome (1020770201).

Subtracting from 1010340100 its reverse (10430101), we obtain a palindrome (999909999).

The spelling of 1010340100 in words is "one billion, ten million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 131213 262426 524852 656065 918491 1312130 1443343 1836982 2624260 2886686 3280325 3673964 4592455 5773372 6560650 7216715 9184910 10103401 13121300 14433430 18369820 20206802 22962275 28866860 36083575 40413604 45924550 50517005 72167150 91849100 101034010 144334300 202068020 252585025 505170050 1010340100