Search a number
-
+
1010032401 = 37371319923
BaseRepresentation
bin111100001100111…
…101111100010001
32121101112221222110
4330030331330101
54032032014101
6244120255533
734013063610
oct7414757421
92541487873
101010032401
11479156324
122423115a9
13131340711
14981dd877
155da13cd6
hex3c33df11

1010032401 has 32 divisors (see below), whose sum is σ = 1592921088. Its totient is φ = 557219520.

The previous prime is 1010032369. The next prime is 1010032411. The reversal of 1010032401 is 1042300101.

It is a happy number.

It is not a de Polignac number, because 1010032401 - 25 = 1010032369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010032411) 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 31 ways as a sum of consecutive naturals, for example, 96826 + ... + 106748.

It is an arithmetic number, because the mean of its divisors is an integer number (49778784).

Almost surely, 21010032401 is an apocalyptic number.

It is an amenable number.

1010032401 is a deficient number, since it is larger than the sum of its proper divisors (582888687).

1010032401 is a wasteful number, since it uses less digits than its factorization.

1010032401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1010032401 is about 31781.0069223743. The cubic root of 1010032401 is about 1003.3330123532. Note that the first 3 decimals are identical.

Adding to 1010032401 its reverse (1042300101), we get a palindrome (2052332502).

The spelling of 1010032401 in words is "one billion, ten million, thirty-two thousand, four hundred one".

Divisors: 1 3 7 21 37 111 131 259 393 777 917 2751 4847 9923 14541 29769 33929 69461 101787 208383 367151 1101453 1299913 2570057 3899739 7710171 9099391 27298173 48096781 144290343 336677467 1010032401