Search a number
-
+
1016040201 = 311291935501
BaseRepresentation
bin111100100011111…
…000101100001001
32121210212012010120
4330203320230021
54040101241301
6244453133453
734115125221
oct7443705411
92553765116
101016040201
1148158a050
1224432a289
13132665127
1498d25081
155e2ede36
hex3c8f8b09

1016040201 has 32 divisors (see below), whose sum is σ = 1537038720. Its totient is φ = 591360000.

The previous prime is 1016040197. The next prime is 1016040211. The reversal of 1016040201 is 1020406101.

1016040201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1016040201 - 22 = 1016040197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1016040211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181951 + ... + 187451.

It is an arithmetic number, because the mean of its divisors is an integer number (48032460).

Almost surely, 21016040201 is an apocalyptic number.

1016040201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1016040201 is a deficient number, since it is larger than the sum of its proper divisors (520998519).

1016040201 is a wasteful number, since it uses less digits than its factorization.

1016040201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5737.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1016040201 is about 31875.3855035512. The cubic root of 1016040201 is about 1005.3183981634.

Adding to 1016040201 its reverse (1020406101), we get a palindrome (2036446302).

The spelling of 1016040201 in words is "one billion, sixteen million, forty thousand, two hundred one".

Divisors: 1 3 11 29 33 87 193 319 579 957 2123 5501 5597 6369 16503 16791 60511 61567 159529 181533 184701 478587 1061693 1754819 3185079 5264457 11678623 30789097 35035869 92367291 338680067 1016040201