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13202312101312 = 261943892836991
BaseRepresentation
bin1100000000011110011100…
…0111110111110111000000
31201202010110211102010111211
43000013213013313313000
53212301313344220222
644025020343015504
72531556413160505
oct300074707676700
951663424363454
1013202312101312
114230083aa7924
12159284373a594
13749c84cc8879
14338dd12054ac
1517d650abd277
hexc01e71f7dc0

13202312101312 has 112 divisors (see below), whose sum is σ = 28535600332800. Its totient is φ = 6039656663040.

The previous prime is 13202312101259. The next prime is 13202312101313. The reversal of 13202312101312 is 21310121320231.

13202312101312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202312101313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3235137 + ... + 6072127.

Almost surely, 213202312101312 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 13202312101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14267800166400).

13202312101312 is an abundant number, since it is smaller than the sum of its proper divisors (15333288231488).

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

13202312101312 is a wasteful number, since it uses less digits than its factorization.

13202312101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837154 (or 2837144 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13202312101312 its reverse (21310121320231), we get a palindrome (34512433421543).

The spelling of 13202312101312 in words is "thirteen trillion, two hundred two billion, three hundred twelve million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 89 152 172 178 304 344 356 608 688 712 817 1216 1376 1424 1634 1691 2752 2848 3268 3382 3827 5696 6536 6764 7654 13072 13528 15308 26144 27056 30616 52288 54112 61232 72713 108224 122464 145426 244928 290852 581704 1163408 2326816 2836991 4653632 5673982 11347964 22695928 45391856 53902829 90783712 107805658 121990613 181567424 215611316 243981226 252492199 431222632 487962452 504984398 862445264 975924904 1009968796 1724890528 1951849808 2019937592 2317821647 3449781056 3903699616 4039875184 4635643294 4797351781 7807399232 8079750368 9271286588 9594703562 10857164557 16159500736 18542573176 19189407124 21714329114 37085146352 38378814248 43428658228 74170292704 76757628496 86857316456 148340585408 153515256992 173714632912 206286126583 307030513984 347429265824 412572253166 694858531648 825144506332 1650289012664 3300578025328 6601156050656 13202312101312