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1302324311112 = 2331147151695089
BaseRepresentation
bin10010111100111000100…
…100111111010001001000
311121111112012221200122220
4102330320210333101020
5132314130010423422
62434140213414040
7163042544665536
oct22747044772110
94544465850586
101302324311112
11462349138570
1219049593a320
1395a68802066
1447066145156
1523d22ee9e5c
hex12f3893f448

1302324311112 has 128 divisors (see below), whose sum is σ = 3651391180800. Its totient is φ = 383688576000.

The previous prime is 1302324311107. The next prime is 1302324311173. The reversal of 1302324311112 is 2111134232031.

It is a super-2 number, since 2×13023243111122 (a number of 25 digits) contains 22 as substring.

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

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, 1526064 + ... + 2221152.

It is an arithmetic number, because the mean of its divisors is an integer number (28526493600).

Almost surely, 21302324311112 is an apocalyptic number.

1302324311112 is a gapful number since it is divisible by the number (12) 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 1302324311112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825695590400).

1302324311112 is an abundant number, since it is smaller than the sum of its proper divisors (2349066869688).

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

1302324311112 is a wasteful number, since it uses less digits than its factorization.

1302324311112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695307 (or 695303 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1302324311112 its reverse (2111134232031), we get a palindrome (3413458543143).

The spelling of 1302324311112 in words is "one trillion, three hundred two billion, three hundred twenty-four million, three hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 151 188 264 282 302 376 453 517 564 604 906 1034 1128 1208 1551 1661 1812 2068 3102 3322 3624 4136 4983 6204 6644 7097 9966 12408 13288 14194 19932 21291 28388 39864 42582 56776 78067 85164 156134 170328 234201 312268 468402 624536 695089 936804 1390178 1873608 2085267 2780356 4170534 5560712 7645979 8341068 15291958 16682136 22937937 30583916 32669183 45875874 61167832 65338366 91751748 98007549 104958439 130676732 183503496 196015098 209916878 261353464 314875317 359361013 392030196 419833756 629750634 718722026 784060392 839667512 1078083039 1154542829 1259501268 1437444052 2156166078 2309085658 2519002536 2874888104 3463628487 4312332156 4618171316 4933046633 6927256974 8624664312 9236342632 9866093266 13854513948 14799139899 19732186532 27709027896 29598279798 39464373064 54263512963 59196559596 108527025926 118393119192 162790538889 217054051852 325581077778 434108103704 651162155556 1302324311112