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134011050120 = 233252711373627
BaseRepresentation
bin111110011001110101…
…1100101100010001000
3110210220110102200222200
41330303223211202020
54143423312100440
6141321441520200
712452630063013
oct1746353454210
9423813380880
10134011050120
1151919820492
1221b80043060
13c838b94a7c
1466b409837a
15374506cc30
hex1f33ae5888

134011050120 has 96 divisors (see below), whose sum is σ = 437143374720. Its totient is φ = 35604385920.

The previous prime is 134011050091. The next prime is 134011050127. The reversal of 134011050120 is 21050110431.

134011050120 is a `hidden beast` number, since 1 + 34 + 0 + 110 + 501 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 134011050093 and 134011050102.

It is not an unprimeable number, because it can be changed into a prime (134011050127) 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 23 ways as a sum of consecutive naturals, for example, 589254 + ... + 784373.

It is an arithmetic number, because the mean of its divisors is an integer number (4553576820).

Almost surely, 2134011050120 is an apocalyptic number.

134011050120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134011050120 is an abundant number, since it is smaller than the sum of its proper divisors (303132324600).

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

134011050120 is a wasteful number, since it uses less digits than its factorization.

134011050120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373915 (or 1373908 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 134011050120 its reverse (21050110431), we get a palindrome (155061160551).

The spelling of 134011050120 in words is "one hundred thirty-four billion, eleven million, fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 271 360 542 813 1084 1355 1626 2168 2439 2710 3252 4065 4878 5420 6504 8130 9756 10840 12195 16260 19512 24390 32520 48780 97560 1373627 2747254 4120881 5494508 6868135 8241762 10989016 12362643 13736270 16483524 20604405 24725286 27472540 32967048 41208810 49450572 54945080 61813215 82417620 98901144 123626430 164835240 247252860 372252917 494505720 744505834 1116758751 1489011668 1861264585 2233517502 2978023336 3350276253 3722529170 4467035004 5583793755 6700552506 7445058340 8934070008 11167587510 13401105012 14890116680 16751381265 22335175020 26802210024 33502762530 44670350040 67005525060 134011050120