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11051504106340 = 22519461467135089
BaseRepresentation
bin1010000011010010000011…
…1110011111101101100100
31110010111212022201100221111
42200310200332133231210
52422031440022400330
635300554011154404
72220305400645625
oct240644076375544
943114768640844
1011051504106340
113580a09a57355
1212a5a32445a04
136221c9993119
142a2c77957a4c
1514271d10a32a
hexa0d20f9fb64

11051504106340 has 96 divisors (see below), whose sum is σ = 24535240329600. Its totient is φ = 4169874769920.

The previous prime is 11051504106317. The next prime is 11051504106341. The reversal of 11051504106340 is 4360140515011.

11051504106340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11051504106341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81741516 + ... + 81876604.

It is an arithmetic number, because the mean of its divisors is an integer number (255575420100).

Almost surely, 211051504106340 is an apocalyptic number.

11051504106340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11051504106340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12267620164800).

11051504106340 is an abundant number, since it is smaller than the sum of its proper divisors (13483736223260).

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

11051504106340 is a wasteful number, since it uses less digits than its factorization.

11051504106340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136045 (or 136043 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 11051504106340 in words is "eleven trillion, fifty-one billion, five hundred four million, one hundred six thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 461 467 922 934 1844 1868 2305 2335 4610 4670 8759 8873 9220 9340 17518 17746 35036 35492 43795 44365 87590 88730 135089 175180 177460 215287 270178 430574 540356 675445 861148 1076435 1350890 2152870 2566691 2701780 4090453 4305740 5133382 8180906 10266764 12833455 16361812 20452265 25666910 40904530 51333820 62276029 63086563 81809060 124552058 126173126 249104116 252346252 311380145 315432815 622760290 630865630 1183244551 1198644697 1245520580 1261731260 2366489102 2397289394 4732978204 4794578788 5916222755 5993223485 11832445510 11986446970 23664891020 23972893940 29082905543 58165811086 116331622172 145414527715 290829055430 552575205317 581658110860 1105150410634 2210300821268 2762876026585 5525752053170 11051504106340