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1331173104 = 243475973137
BaseRepresentation
bin100111101011000…
…0001011011110000
310102202211121012120
41033112001123300
510211240014404
6340031354240
744662533102
oct11726013360
93382747176
101331173104
1162345a068
12311982980
13182a30bc1
14c8b17572
157bceb9d9
hex4f5816f0

1331173104 has 160 divisors (see below), whose sum is σ = 3646909440. Its totient is φ = 418000896.

The previous prime is 1331173099. The next prime is 1331173111. The reversal of 1331173104 is 4013711331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9716524 + ... + 9716660.

It is an arithmetic number, because the mean of its divisors is an integer number (22793184).

Almost surely, 21331173104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331173104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823454720).

1331173104 is an abundant number, since it is smaller than the sum of its proper divisors (2315736336).

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

1331173104 is a wasteful number, since it uses less digits than its factorization.

1331173104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 1331173104 is about 36485.2450176780. The cubic root of 1331173104 is about 1100.0476849852.

Adding to 1331173104 its reverse (4013711331), we get a palindrome (5344884435).

The spelling of 1331173104 in words is "one billion, three hundred thirty-one million, one hundred seventy-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 59 73 94 118 137 141 146 177 188 219 236 274 282 292 354 376 411 438 472 548 564 584 708 752 822 876 944 1096 1128 1168 1416 1644 1752 2192 2256 2773 2832 3288 3431 3504 4307 5546 6439 6576 6862 8083 8319 8614 10001 10293 11092 12878 12921 13724 16166 16638 17228 19317 20002 20586 22184 24249 25756 25842 27448 30003 32332 33276 34456 38634 40004 41172 44368 48498 51512 51684 54896 60006 64664 66552 68912 77268 80008 82344 96996 103024 103368 120012 129328 133104 154536 160016 164688 193992 202429 206736 240024 309072 379901 387984 404858 470047 480048 590059 607287 759802 809716 940094 1139703 1180118 1214574 1410141 1519604 1619432 1770177 1880188 2279406 2360236 2429148 2820282 3039208 3238864 3540354 3760376 4558812 4720472 4858296 5640564 6078416 7080708 7520752 9117624 9440944 9716592 11281128 14161416 18235248 22562256 27732773 28322832 55465546 83198319 110931092 166396638 221862184 332793276 443724368 665586552 1331173104