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1301002323320 = 235729757321157
BaseRepresentation
bin10010111011101001110…
…010000000010101111000
311121101010002101202100002
4102323221302000111320
5132303423043321240
62433401110532132
7162665023166660
oct22735162002570
94541102352302
101301002323320
1146182a992577
12190187067048
13958b7968c6b
1446d7c73d1a0
1523c96e14d15
hex12ee9c80578

1301002323320 has 128 divisors (see below), whose sum is σ = 3461414947200. Its totient is φ = 430599407616.

The previous prime is 1301002323317. The next prime is 1301002323377. The reversal of 1301002323320 is 233232001031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1301002323292 and 1301002323301.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 61482182 + ... + 61503338.

It is an arithmetic number, because the mean of its divisors is an integer number (27042304275).

Almost surely, 21301002323320 is an apocalyptic number.

1301002323320 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 1301002323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730707473600).

1301002323320 is an abundant number, since it is smaller than the sum of its proper divisors (2160412623880).

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

1301002323320 is a wasteful number, since it uses less digits than its factorization.

1301002323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28777 (or 28773 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1301002323320 its reverse (233232001031), we get a palindrome (1534234324351).

The spelling of 1301002323320 in words is "one trillion, three hundred one billion, two million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 7573 8120 15146 21157 30292 37865 42314 53011 60584 75730 84628 105785 106022 148099 151460 169256 211570 212044 219617 265055 296198 302920 423140 424088 439234 530110 592396 613553 740495 846280 878468 1060220 1098085 1184792 1227106 1480990 1537319 1756936 2120440 2196170 2454212 2961980 3067765 3074638 4294871 4392340 4908424 5923960 6135530 6149276 7686595 8589742 8784680 12271060 12298552 15373190 17179484 21474355 24542120 30746380 34358968 42948710 61492760 85897420 160221961 171794840 320443922 640887844 801109805 1121553727 1281775688 1602219610 2243107454 3204439220 4486214908 4646436869 5607768635 6408878440 8972429816 9292873738 11215537270 18585747476 22431074540 23232184345 32525058083 37171494952 44862149080 46464368690 65050116166 92928737380 130100232332 162625290415 185857474760 260200464664 325250580830 650501161660 1301002323320