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1301213320 = 2351117732383
BaseRepresentation
bin100110110001110…
…1111000010001000
310100200110111002221
41031203233002020
510131102311240
6333041303424
744150062561
oct11543570210
93320414087
101301213320
11608556910
12303934b74
13179771314
14c4b59168
157937ea4a
hex4d8ef088

1301213320 has 128 divisors (see below), whose sum is σ = 3429527040. Its totient is φ = 439050240.

The previous prime is 1301213311. The next prime is 1301213323. The reversal of 1301213320 is 233121031.

It is a super-2 number, since 2×13012133202 = 3386312208290844800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1301213294 and 1301213303.

It is not an unprimeable number, because it can be changed into a prime (1301213323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544849 + ... + 547231.

It is an arithmetic number, because the mean of its divisors is an integer number (26793180).

Almost surely, 21301213320 is an apocalyptic number.

1301213320 is a gapful number since it is divisible by the number (10) 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 1301213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714763520).

1301213320 is an abundant number, since it is smaller than the sum of its proper divisors (2128313720).

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

1301213320 is a wasteful number, since it uses less digits than its factorization.

1301213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1301213320 is about 36072.3345515646. The cubic root of 1301213320 is about 1091.7323182034.

Adding to 1301213320 its reverse (233121031), we get a palindrome (1534334351).

The spelling of 1301213320 in words is "one billion, three hundred one million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 73 85 88 110 136 146 170 187 220 292 340 365 374 440 584 680 730 748 803 935 1241 1460 1496 1606 1870 2383 2482 2920 3212 3740 4015 4766 4964 6205 6424 7480 8030 9532 9928 11915 12410 13651 16060 19064 23830 24820 26213 27302 32120 40511 47660 49640 52426 54604 68255 81022 95320 104852 109208 131065 136510 162044 173959 202555 209704 262130 273020 324088 347918 405110 445621 524260 546040 695836 810220 869795 891242 1048520 1391672 1620440 1739590 1782484 1913549 2228105 2957303 3479180 3564968 3827098 4456210 5914606 6958360 7654196 8912420 9567745 11829212 14786515 15308392 17824840 19135490 23658424 29573030 32530333 38270980 59146060 65060666 76541960 118292120 130121332 162651665 260242664 325303330 650606660 1301213320