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13030101300312 = 233431636357313
BaseRepresentation
bin1011110110011100111010…
…0011110011010001011000
31201010122222011102000120000
42331213032203303101120
53201441121413102222
643413540151533000
72513252025416415
oct275471643632130
951118864360500
1013030101300312
114174042543198
1215653a268a160
1373696c02ab15
14330935abd10c
15178e221209ac
hexbd9ce8f3458

13030101300312 has 80 divisors (see below), whose sum is σ = 36507892815240. Its totient is φ = 4341993237504.

The previous prime is 13030101300311. The next prime is 13030101300329. The reversal of 13030101300312 is 21300310103031.

It is a happy number.

13030101300312 is a `hidden beast` number, since 1 + 30 + 301 + 0 + 1 + 300 + 31 + 2 = 666.

It is a super-2 number, since 2×130301013003122 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13030101300311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1129033 + ... + 5228280.

Almost surely, 213030101300312 is an apocalyptic number.

13030101300312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13030101300312 is an abundant number, since it is smaller than the sum of its proper divisors (23477791514928).

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

13030101300312 is a wasteful number, since it uses less digits than its factorization.

13030101300312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6360494 (or 6360481 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13030101300312 its reverse (21300310103031), we get a palindrome (34330411403343).

The spelling of 13030101300312 in words is "thirteen trillion, thirty billion, one hundred one million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 3163 6326 9489 12652 18978 25304 28467 37956 56934 75912 85401 113868 170802 227736 256203 341604 512406 683208 1024812 2049624 6357313 12714626 19071939 25429252 38143878 50858504 57215817 76287756 114431634 152575512 171647451 228863268 343294902 457726536 514942353 686589804 1029884706 1373179608 2059769412 4119538824 20108181019 40216362038 60324543057 80432724076 120649086114 160865448152 180973629171 241298172228 361947258342 482596344456 542920887513 723894516684 1085841775026 1447789033368 1628762662539 2171683550052 3257525325078 4343367100104 6515050650156 13030101300312