Search a number
-
+
1010157941 = 13106173237
BaseRepresentation
bin111100001101011…
…100100101110101
32121101210100012002
4330031130211311
54032100023231
6244123105045
734014125612
oct7415344565
92541710162
101010157941
11479231681
12242372185
131313858c0
1498233509
155da3b0cb
hex3c35c975

1010157941 has 8 divisors (see below), whose sum is σ = 1088902584. Its totient is φ = 931561920.

The previous prime is 1010157937. The next prime is 1010157943. The reversal of 1010157941 is 1497510101.

It can be written as a sum of positive squares in 4 ways, for example, as 70980625 + 939177316 = 8425^2 + 30646^2 .

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 1010157941 - 22 = 1010157937 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010157943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22826 + ... + 50411.

It is an arithmetic number, because the mean of its divisors is an integer number (136112823).

Almost surely, 21010157941 is an apocalyptic number.

It is an amenable number.

1010157941 is a deficient number, since it is larger than the sum of its proper divisors (78744643).

1010157941 is a wasteful number, since it uses less digits than its factorization.

1010157941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74311.

The product of its (nonzero) digits is 1260, while the sum is 29.

The square root of 1010157941 is about 31782.9819400257. The cubic root of 1010157941 is about 1003.3745797353.

The spelling of 1010157941 in words is "one billion, ten million, one hundred fifty-seven thousand, nine hundred forty-one".

Divisors: 1 13 1061 13793 73237 952081 77704457 1010157941