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1013313132 = 223313721733
BaseRepresentation
bin111100011001011…
…110111001101100
32121121201122022000
4330121132321230
54033402010012
6244314452300
734053006456
oct7431367154
92547648260
101013313132
1147aa97177
12243434090
13131c1ba90
14988152d6
155de60ddc
hex3c65ee6c

1013313132 has 48 divisors (see below), whose sum is σ = 2829197280. Its totient is φ = 311788224.

The previous prime is 1013313121. The next prime is 1013313137. The reversal of 1013313132 is 2313133101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1013313137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359463 + ... + 362270.

It is an arithmetic number, because the mean of its divisors is an integer number (58941610).

Almost surely, 21013313132 is an apocalyptic number.

1013313132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1013313132 is an abundant number, since it is smaller than the sum of its proper divisors (1815884148).

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

1013313132 is a wasteful number, since it uses less digits than its factorization.

1013313132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721759 (or 721751 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1013313132 is about 31832.5797258092. The cubic root of 1013313132 is about 1004.4181617655.

Adding to 1013313132 its reverse (2313133101), we get a palindrome (3326446233).

The spelling of 1013313132 in words is "one billion, thirteen million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 721733 1443466 2165199 2886932 4330398 6495597 8660796 9382529 12991194 18765058 19486791 25982388 28147587 37530116 38973582 56295174 77947164 84442761 112590348 168885522 253328283 337771044 506656566 1013313132