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1010131001 = 11312962261
BaseRepresentation
bin111100001101010…
…110000000111001
32121101201222020022
4330031112000321
54032043143001
6244122340225
734013654225
oct7415260071
92541658208
101010131001
11479213410
1224235a675
13131376569
1498227785
155da3311b
hex3c356039

1010131001 has 8 divisors (see below), whose sum is σ = 1137508608. Its totient is φ = 888678000.

The previous prime is 1010130983. The next prime is 1010131021. The reversal of 1010131001 is 1001310101.

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

It is a cyclic number.

It is not a de Polignac number, because 1010131001 - 210 = 1010129977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1010131001.

It is not an unprimeable number, because it can be changed into a prime (1010131021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1480790 + ... + 1481471.

It is an arithmetic number, because the mean of its divisors is an integer number (142188576).

Almost surely, 21010131001 is an apocalyptic number.

1010131001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010131001 is a deficient number, since it is larger than the sum of its proper divisors (127377607).

1010131001 is a wasteful number, since it uses less digits than its factorization.

1010131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962303.

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 1010131001 is about 31782.5581254876. The cubic root of 1010131001 is about 1003.3656599580.

Adding to 1010131001 its reverse (1001310101), we get a palindrome (2011441102).

Subtracting from 1010131001 its reverse (1001310101), we obtain a square (8820900 = 29702).

The spelling of 1010131001 in words is "one billion, ten million, one hundred thirty-one thousand, one".

Divisors: 1 11 31 341 2962261 32584871 91830091 1010131001