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134054221220 = 22537733247141
BaseRepresentation
bin111110011011001000…
…0010001010110100100
3110211000110200000121022
41330312100101112210
54144020340034340
6141330023110312
712453663036203
oct1746620212644
9424013600538
10134054221220
1151941127587
1221b925a2398
13c844acbaba
1466b9ad523a
153748c493b5
hex1f364115a4

134054221220 has 48 divisors (see below), whose sum is σ = 289517955888. Its totient is φ = 52101066240.

The previous prime is 134054221219. The next prime is 134054221229. The reversal of 134054221220 is 22122450431.

It can be written as a sum of positive squares in 8 ways, for example, as 65686614436 + 68367606784 = 256294^2 + 261472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 134054221220.

It is not an unprimeable number, because it can be changed into a prime (134054221229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418850 + ... + 665990.

It is an arithmetic number, because the mean of its divisors is an integer number (6031624081).

Almost surely, 2134054221220 is an apocalyptic number.

134054221220 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 134054221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144758977944).

134054221220 is an abundant number, since it is smaller than the sum of its proper divisors (155463734668).

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

134054221220 is a wasteful number, since it uses less digits than its factorization.

134054221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247920 (or 247918 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 134054221220 its reverse (22122450431), we get a palindrome (156176671651).

The spelling of 134054221220 in words is "one hundred thirty-four billion, fifty-four million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 733 740 1466 2932 3665 7330 14660 27121 54242 108484 135605 247141 271210 494282 542420 988564 1235705 2471410 4942820 9144217 18288434 36576868 45721085 91442170 181154353 182884340 362308706 724617412 905771765 1811543530 3623087060 6702711061 13405422122 26810844244 33513555305 67027110610 134054221220