Search a number
-
+
121311300032 = 26134316632039
BaseRepresentation
bin111000011111010110…
…1111000100111000000
3102121010101121112222022
41300332231320213000
53441421143100112
6131421334101012
711523131015366
oct1607655704700
9377111545868
10121311300032
11474a208025a
121b616aaa768
13b593a7a850
145c2b569636
153250178d72
hex1c3eb789c0

121311300032 has 112 divisors (see below), whose sum is σ = 265563217920. Its totient is φ = 54628051968.

The previous prime is 121311300031. The next prime is 121311300041. The reversal of 121311300032 is 230003113121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121311300031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59494469 + ... + 59496507.

It is an arithmetic number, because the mean of its divisors is an integer number (2371100160).

Almost surely, 2121311300032 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 121311300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132781608960).

121311300032 is an abundant number, since it is smaller than the sum of its proper divisors (144251917888).

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

121311300032 is a wasteful number, since it uses less digits than its factorization.

121311300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 121311300032 its reverse (230003113121), we get a palindrome (351314413153).

The spelling of 121311300032 in words is "one hundred twenty-one billion, three hundred eleven million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 172 208 344 416 559 688 832 1118 1376 1663 2039 2236 2752 3326 4078 4472 6652 8156 8944 13304 16312 17888 21619 26507 26608 32624 35776 43238 53014 53216 65248 71509 86476 87677 106028 106432 130496 143018 172952 175354 212056 286036 345904 350708 424112 572072 691808 701416 848224 929617 1139801 1144144 1383616 1402832 1696448 1859234 2279602 2288288 2805664 3390857 3718468 4559204 4576576 5611328 6781714 7436936 9118408 13563428 14873872 18236816 27126856 29747744 36473632 44081141 54253712 59495488 72947264 88162282 108507424 145806851 176324564 217014848 291613702 352649128 583227404 705298256 1166454808 1410596512 1895489063 2332909616 2821193024 3790978126 4665819232 7581956252 9331638464 15163912504 30327825008 60655650016 121311300032