Search a number
-
+
1000101310 = 251343178909
BaseRepresentation
bin111011100111000…
…101010110111110
32120200212102002021
4323213011112332
54022011220220
6243123350354
733532502155
oct7347052676
92520772067
101000101310
11473592a0a
1223ab223ba
1312c274330
1496b7659c
155cc014aa
hex3b9c55be

1000101310 has 32 divisors (see below), whose sum is σ = 1983754080. Its totient is φ = 360678528.

The previous prime is 1000101299. The next prime is 1000101317. The reversal of 1000101310 is 131010001.

It is a happy number.

It is a super-2 number, since 2×10001013102 = 2000405260527432200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000101293 and 1000101302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000101317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83865 + ... + 95044.

It is an arithmetic number, because the mean of its divisors is an integer number (61992315).

Almost surely, 21000101310 is an apocalyptic number.

1000101310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000101310 is a deficient number, since it is larger than the sum of its proper divisors (983652770).

1000101310 is a wasteful number, since it uses less digits than its factorization.

1000101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178972.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 1000101310 is about 31624.3784128637. The cubic root of 1000101310 is about 1000.0337688597.

Adding to 1000101310 its reverse (131010001), we get a palindrome (1131111311).

The spelling of 1000101310 in words is "one billion, one hundred one thousand, three hundred ten".

Divisors: 1 2 5 10 13 26 43 65 86 130 215 430 559 1118 2795 5590 178909 357818 894545 1789090 2325817 4651634 7693087 11629085 15386174 23258170 38465435 76930870 100010131 200020262 500050655 1000101310