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1302321310020 = 2232529428958169
BaseRepresentation
bin10010111100111000011…
…001100010100101000100
311121111112000022012221100
4102330320121202211010
5132314123223410040
62434140025220100
7163042510326153
oct22747031424504
94544460265840
101302321310020
11462347478825
12190494931630
1395a67cc1073
14470659a359a
1523d22b05b30
hex12f38662944

1302321310020 has 144 divisors (see below), whose sum is σ = 4087617534000. Its totient is φ = 335226372096.

The previous prime is 1302321310013. The next prime is 1302321310061. The reversal of 1302321310020 is 200131232031.

1302321310020 is a `hidden beast` number, since 1 + 30 + 2 + 321 + 310 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14895226116 + 1287426083904 = 122046^2 + 1134648^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1302321309975 and 1302321310002.

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, 22359496 + ... + 22417664.

It is an arithmetic number, because the mean of its divisors is an integer number (28386232875).

Almost surely, 21302321310020 is an apocalyptic number.

1302321310020 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 1302321310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043808767000).

1302321310020 is an abundant number, since it is smaller than the sum of its proper divisors (2785296223980).

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

1302321310020 is a wasteful number, since it uses less digits than its factorization.

1302321310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62502 (or 62497 counting only the distinct ones).

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

Adding to 1302321310020 its reverse (200131232031), we get a palindrome (1502452542051).

The spelling of 1302321310020 in words is "one trillion, three hundred two billion, three hundred twenty-one million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 4289 5220 8578 12867 17156 21445 25734 38601 42890 51468 58169 64335 77202 85780 116338 124381 128670 154404 174507 193005 232676 248762 257340 290845 349014 373143 386010 497524 523521 581690 621905 698028 746286 772020 872535 1047042 1119429 1163380 1243810 1492572 1686901 1745070 1865715 2094084 2238858 2487620 2617605 3373802 3490140 3731430 4477716 5060703 5235210 5597145 6747604 7462860 8434505 10121406 10470420 11194290 15182109 16869010 20242812 22388580 25303515 30364218 33738020 50607030 60728436 75910545 101214060 151821090 249486841 303642180 498973682 748460523 997947364 1247434205 1496921046 2245381569 2494868410 2993842092 3742302615 4490763138 4989736820 7235118389 7484605230 8981526276 11226907845 14470236778 14969210460 21705355167 22453815690 28940473556 36175591945 43410710334 44907631380 65116065501 72351183890 86821420668 108526775835 130232131002 144702367780 217053551670 260464262004 325580327505 434107103340 651160655010 1302321310020