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1016800941 = 3131910912589
BaseRepresentation
bin111100100110110…
…010011010101101
32121212021211200010
4330212302122231
54040300112231
6244521323433
734124444142
oct7446623255
92555254603
101016800941
11481a59662
12244636579
13132870480
14990823c9
155e3ee546
hex3c9b26ad

1016800941 has 32 divisors (see below), whose sum is σ = 1551088000. Its totient is φ = 587305728.

The previous prime is 1016800937. The next prime is 1016800949. The reversal of 1016800941 is 1490086101.

It is not a de Polignac number, because 1016800941 - 22 = 1016800937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1016800899 and 1016800908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016800949) 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, 74475 + ... + 87063.

It is an arithmetic number, because the mean of its divisors is an integer number (48471500).

Almost surely, 21016800941 is an apocalyptic number.

It is an amenable number.

1016800941 is a deficient number, since it is larger than the sum of its proper divisors (534287059).

1016800941 is a wasteful number, since it uses less digits than its factorization.

1016800941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12733.

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 1016800941 is about 31887.3163028813. The cubic root of 1016800941 is about 1005.5692396570.

The spelling of 1016800941 in words is "one billion, sixteen million, eight hundred thousand, nine hundred forty-one".

Divisors: 1 3 13 19 39 57 109 247 327 741 1417 2071 4251 6213 12589 26923 37767 80769 163657 239191 490971 717573 1372201 3109483 4116603 9328449 17838613 26071819 53515839 78215457 338933647 1016800941