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1322132130 = 2325111498963
BaseRepresentation
bin100111011001110…
…0010001010100010
310102010211021022200
41032303202022202
510201431212010
6335105514030
744522636424
oct11663421242
93363737280
101322132130
11619344490
1230a942916
13180bb6a07
14c7842814
157b112cc0
hex4ece22a2

1322132130 has 96 divisors (see below), whose sum is σ = 3775636800. Its totient is φ = 318330240.

The previous prime is 1322132111. The next prime is 1322132179. The reversal of 1322132130 is 312312231.

It is a super-3 number, since 3×13221321303 (a number of 28 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 143029 + ... + 151991.

It is an arithmetic number, because the mean of its divisors is an integer number (39329550).

Almost surely, 21322132130 is an apocalyptic number.

1322132130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887818400).

1322132130 is an abundant number, since it is smaller than the sum of its proper divisors (2453504670).

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

1322132130 is a wasteful number, since it uses less digits than its factorization.

1322132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9136 (or 9133 counting only the distinct ones).

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

The square root of 1322132130 is about 36361.1348832789. The cubic root of 1322132130 is about 1097.5516150230.

Adding to 1322132130 its reverse (312312231), we get a palindrome (1634444361).

The spelling of 1322132130 in words is "one billion, three hundred twenty-two million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 149 165 198 298 330 447 495 745 894 990 1341 1490 1639 2235 2682 3278 4470 4917 6705 8195 8963 9834 13410 14751 16390 17926 24585 26889 29502 44815 49170 53778 73755 80667 89630 98593 134445 147510 161334 197186 268890 295779 403335 492965 591558 806670 887337 985930 1335487 1478895 1774674 2670974 2957790 4006461 4436685 6677435 8012922 8873370 12019383 13354870 14690357 20032305 24038766 29380714 40064610 44071071 60096915 73451785 88142142 120193830 132213213 146903570 220355355 264426426 440710710 661066065 1322132130