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134100302320 = 2455975137831
BaseRepresentation
bin111110011100100000…
…0000011100111110000
3110211010200101011222201
41330321000003213300
54144114134133240
6141334350512544
712455062522345
oct1747100034760
9424120334881
10134100302320
1151965140a36
1221ba5b05754
13c85151451a
1466c1c8c7cc
15374ccecd9a
hex1f390039f0

134100302320 has 80 divisors (see below), whose sum is σ = 317498250240. Its totient is φ = 52659360000.

The previous prime is 134100302317. The next prime is 134100302341. The reversal of 134100302320 is 23203001431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1341003023203 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 3525805 + ... + 3563635.

It is an arithmetic number, because the mean of its divisors is an integer number (3968728128).

Almost surely, 2134100302320 is an apocalyptic number.

134100302320 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 134100302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158749125120).

134100302320 is an abundant number, since it is smaller than the sum of its proper divisors (183397947920).

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

134100302320 is a wasteful number, since it uses less digits than its factorization.

134100302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38654 (or 38648 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 134100302320 its reverse (23203001431), we get a palindrome (157303303751).

The spelling of 134100302320 in words is "one hundred thirty-four billion, one hundred million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 751 944 1180 1502 2360 3004 3755 4720 6008 7510 12016 15020 30040 37831 44309 60080 75662 88618 151324 177236 189155 221545 302648 354472 378310 443090 605296 708944 756620 886180 1513240 1772360 2232029 3026480 3544720 4464058 8928116 11160145 17856232 22320290 28411081 35712464 44640580 56822162 89281160 113644324 142055405 178562320 227288648 284110810 454577296 568221620 1136443240 1676253779 2272886480 3352507558 6705015116 8381268895 13410030232 16762537790 26820060464 33525075580 67050151160 134100302320