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1303211012312 = 2311791549121019
BaseRepresentation
bin10010111101101101011…
…011011111000011011000
311121120211000102210001002
4102331231123133003120
5132322434004343222
62434404210444132
7163103532555326
oct22755533370330
94546730383032
101303211012312
11462763707280
121906a2893648
1395b7a420521
144710bbdcd16
1523d75c9b392
hex12f6d6df0d8

1303211012312 has 64 divisors (see below), whose sum is σ = 2701166400000. Its totient is φ = 584487895680.

The previous prime is 1303211012309. The next prime is 1303211012387. The reversal of 1303211012312 is 2132101123031.

It is a happy number.

It is a super-2 number, since 2×13032110123122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10708139 + ... + 10829157.

It is an arithmetic number, because the mean of its divisors is an integer number (42205725000).

Almost surely, 21303211012312 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 1303211012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350583200000).

1303211012312 is an abundant number, since it is smaller than the sum of its proper divisors (1397955387688).

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

1303211012312 is a wasteful number, since it uses less digits than its factorization.

1303211012312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122664 (or 122660 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1303211012312 its reverse (2132101123031), we get a palindrome (3435312135343).

The spelling of 1303211012312 in words is "one trillion, three hundred three billion, two hundred eleven million, twelve thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 632 869 1549 1738 3098 3476 6196 6952 12392 17039 34078 68156 121019 122371 136312 242038 244742 484076 489484 968152 978968 1331209 1346081 2662418 2692162 5324836 5384324 9560501 10649672 10768648 19121002 38242004 76484008 105165511 187458431 210331022 374916862 420662044 749833724 841324088 1499667448 2062042741 4124085482 8248170964 14809216049 16496341928 29618432098 59236864196 118473728392 162901376539 325802753078 651605506156 1303211012312