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1023312132 = 223228425337
BaseRepresentation
bin111100111111101…
…000000100000100
32122022112122100100
4330333220010010
54043431442012
6245313044100
734234003203
oct7477500404
92568478310
101023312132
114856a6607
12246856630
1313401004b
1499c9923a
155ec888dc
hex3cfe8104

1023312132 has 18 divisors (see below), whose sum is σ = 2586705758. Its totient is φ = 341104032.

The previous prime is 1023312119. The next prime is 1023312167. The reversal of 1023312132 is 2312133201.

It can be written as a sum of positive squares in only one way, i.e., 1023104196 + 207936 = 31986^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14212633 + ... + 14212704.

Almost surely, 21023312132 is an apocalyptic number.

1023312132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023312132 is an abundant number, since it is smaller than the sum of its proper divisors (1563393626).

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

1023312132 is a wasteful number, since it uses less digits than its factorization.

1023312132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28425347 (or 28425342 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1023312132 is about 31989.2502569222. The cubic root of 1023312132 is about 1007.7110968160.

Adding to 1023312132 its reverse (2312133201), we get a palindrome (3335445333).

The spelling of 1023312132 in words is "one billion, twenty-three million, three hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 28425337 56850674 85276011 113701348 170552022 255828033 341104044 511656066 1023312132