Search a number
-
+
1322131152 = 243311814909
BaseRepresentation
bin100111011001110…
…0001111011010000
310102010211012222110
41032303201323100
510201431144102
6335105505320
744522633526
oct11663417320
93363735873
101322131152
11619343781
1230a942240
13180bb6434
14c7842316
157b11286c
hex4ece1ed0

1322131152 has 80 divisors (see below), whose sum is σ = 3545884160. Its totient is φ = 424051200.

The previous prime is 1322131127. The next prime is 1322131189. The reversal of 1322131152 is 2511312231.

It is a super-3 number, since 3×13221311523 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266874 + ... + 271782.

It is an arithmetic number, because the mean of its divisors is an integer number (44323552).

Almost surely, 21322131152 is an apocalyptic number.

1322131152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322131152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772942080).

1322131152 is an abundant number, since it is smaller than the sum of its proper divisors (2223753008).

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

1322131152 is a wasteful number, since it uses less digits than its factorization.

1322131152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5126 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 1322131152 is about 36361.1214348513. The cubic root of 1322131152 is about 1097.5513443980.

Adding to 1322131152 its reverse (2511312231), we get a palindrome (3833443383).

The spelling of 1322131152 in words is "one billion, three hundred twenty-two million, one hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 181 186 248 362 372 496 543 724 744 1086 1448 1488 2172 2896 4344 4909 5611 8688 9818 11222 14727 16833 19636 22444 29454 33666 39272 44888 58908 67332 78544 89776 117816 134664 152179 235632 269328 304358 456537 608716 888529 913074 1217432 1777058 1826148 2434864 2665587 3554116 3652296 5331174 7108232 7304592 10662348 14216464 21324696 27544399 42649392 55088798 82633197 110177596 165266394 220355192 330532788 440710384 661065576 1322131152