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1301234242112 = 26715141114679
BaseRepresentation
bin10010111011110111100…
…110101101001001000000
311121101201020210110002222
4102323313212231021000
5132304411431221422
62433440113430212
7163003540364030
oct22736746551100
94541636713088
101301234242112
114619398965a2
1219023086b368
1395923a1a70c
1446da146d8c0
1523cac476842
hex12ef79ad240

1301234242112 has 112 divisors (see below), whose sum is σ = 2971914117120. Its totient is φ = 553725504000.

The previous prime is 1301234242109. The next prime is 1301234242127. The reversal of 1301234242112 is 2112424321031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 278098589 + ... + 278103267.

Almost surely, 21301234242112 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 1301234242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485957058560).

1301234242112 is an abundant number, since it is smaller than the sum of its proper divisors (1670679875008).

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

1301234242112 is a wasteful number, since it uses less digits than its factorization.

1301234242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8960 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 1301234242112 its reverse (2112424321031), we get a palindrome (3413658563143).

The spelling of 1301234242112 in words is "one trillion, three hundred one billion, two hundred thirty-four million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 151 224 302 448 604 1057 1208 2114 2416 4111 4228 4679 4832 8222 8456 9358 9664 16444 16912 18716 28777 32753 32888 33824 37432 57554 65506 65776 67648 74864 115108 131012 131552 149728 230216 262024 263104 299456 460432 524048 620761 706529 920864 1048096 1241522 1413058 1841728 2096192 2483044 2826116 4345327 4945703 4966088 5652232 8690654 9891406 9932176 11304464 17381308 19235369 19782812 19864352 22608928 34762616 38470738 39565624 39728704 45217856 69525232 76941476 79131248 134647583 139050464 153882952 158262496 269295166 278100928 307765904 316524992 538590332 615531808 1077180664 1231063616 2154361328 2904540719 4308722656 5809081438 8617445312 11618162876 20331785033 23236325752 40663570066 46472651504 81327140132 92945303008 162654280264 185890606016 325308560528 650617121056 1301234242112