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1012131132 = 223661127601
BaseRepresentation
bin111100010100111…
…110010100111100
32121112111120220020
4330110332110330
54033101144012
6244233252140
734036654425
oct7424762474
92545446806
101012131132
1147a35a111
12242b64050
131318c6a7c
14985c864c
155dccaa8c
hex3c53e53c

1012131132 has 24 divisors (see below), whose sum is σ = 2365230672. Its totient is φ = 336864000.

The previous prime is 1012131103. The next prime is 1012131143. The reversal of 1012131132 is 2311312101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 55869 + ... + 71732.

It is an arithmetic number, because the mean of its divisors is an integer number (98551278).

Almost surely, 21012131132 is an apocalyptic number.

1012131132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012131132 is an abundant number, since it is smaller than the sum of its proper divisors (1353099540).

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

1012131132 is a wasteful number, since it uses less digits than its factorization.

1012131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128269 (or 128267 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1012131132 is about 31814.0084239632. The cubic root of 1012131132 is about 1004.0274683892.

Adding to 1012131132 its reverse (2311312101), we get a palindrome (3323443233).

The spelling of 1012131132 in words is "one billion, twelve million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 661 1322 1983 2644 3966 7932 127601 255202 382803 510404 765606 1531212 84344261 168688522 253032783 337377044 506065566 1012131132