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1325001330 = 2325107223617
BaseRepresentation
bin100111011111001…
…1110101001110010
310102100020001010100
41032332132221302
510203200020310
6335251213230
744556216432
oct11676365162
93370201110
101325001330
1161aa24124
1230b8a7216
1318167c973
14c7d8c2c2
157b4ccec0
hex4ef9ea72

1325001330 has 96 divisors (see below), whose sum is σ = 3498453504. Its totient is φ = 347897088.

The previous prime is 1325001323. The next prime is 1325001367. The reversal of 1325001330 is 331005231.

1325001330 is a `hidden beast` number, since 1 + 32 + 500 + 133 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2147182 + ... + 2147798.

It is an arithmetic number, because the mean of its divisors is an integer number (36442224).

Almost surely, 21325001330 is an apocalyptic number.

1325001330 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 1325001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749226752).

1325001330 is an abundant number, since it is smaller than the sum of its proper divisors (2173452174).

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

1325001330 is a wasteful number, since it uses less digits than its factorization.

1325001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1325001330 is about 36400.5677153530. The cubic root of 1325001330 is about 1098.3449850102.

Adding to 1325001330 its reverse (331005231), we get a palindrome (1656006561).

The spelling of 1325001330 in words is "one billion, three hundred twenty-five million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 223 321 446 535 617 642 669 963 1070 1115 1234 1338 1605 1851 1926 2007 2230 3085 3210 3345 3702 4014 4815 5553 6170 6690 9255 9630 10035 11106 18510 20070 23861 27765 47722 55530 66019 71583 119305 132038 137591 143166 198057 214749 238610 275182 330095 357915 396114 412773 429498 594171 660190 687955 715830 825546 990285 1073745 1188342 1238319 1375910 1980570 2063865 2147490 2476638 2970855 4127730 5941710 6191595 12383190 14722237 29444474 44166711 73611185 88333422 132500133 147222370 220833555 265000266 441667110 662500665 1325001330