Search a number
-
+
1011032412 = 223136796731
BaseRepresentation
bin111100010000110…
…010000101011100
32121110102202201220
4330100302011130
54032311014122
6244153533340
734024430235
oct7420620534
92543382656
101011032412
11479779685
12242714250
13131600940
14983c008c
155db6025c
hex3c43215c

1011032412 has 48 divisors (see below), whose sum is σ = 2578488192. Its totient is φ = 306440640.

The previous prime is 1011032411. The next prime is 1011032417. The reversal of 1011032412 is 2142301101.

It is a super-2 number, since 2×10110324122 = 2044373076229075488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011032391 and 1011032400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011032411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37914 + ... + 58817.

It is an arithmetic number, because the mean of its divisors is an integer number (53718504).

Almost surely, 21011032412 is an apocalyptic number.

1011032412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011032412 is an abundant number, since it is smaller than the sum of its proper divisors (1567455780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011032412 is a wasteful number, since it uses less digits than its factorization.

1011032412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96818 (or 96816 counting only the distinct ones).

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

The square root of 1011032412 is about 31796.7358702116. The cubic root of 1011032412 is about 1003.6640291603.

Adding to 1011032412 its reverse (2142301101), we get a palindrome (3153333513).

The spelling of 1011032412 in words is "one billion, eleven million, thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 201 268 402 804 871 1742 2613 3484 5226 10452 96731 193462 290193 386924 580386 1160772 1257503 2515006 3772509 5030012 6480977 7545018 12961954 15090036 19442931 25923908 38885862 77771724 84252701 168505402 252758103 337010804 505516206 1011032412