Search a number
-
+
134013010120 = 235112996710861
BaseRepresentation
bin111110011001111001…
…1000100000011001000
3110210220121010021121021
41330303303010003020
54143424312310440
6141321551522224
712452652535213
oct1746363040310
9423817107537
10134013010120
115191a93a020
1221b80829374
13c8393ccc32
1466b444877a
15374530884a
hex1f33cc40c8

134013010120 has 128 divisors (see below), whose sum is σ = 340667078400. Its totient is φ = 46998604800.

The previous prime is 134013010067. The next prime is 134013010147. The reversal of 134013010120 is 21010310431.

It is a junction number, because it is equal to n+sod(n) for n = 134013010094 and 134013010103.

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 31 ways as a sum of consecutive naturals, for example, 12333490 + ... + 12344350.

It is an arithmetic number, because the mean of its divisors is an integer number (2661461550).

Almost surely, 2134013010120 is an apocalyptic number.

134013010120 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 134013010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170333539200).

134013010120 is an abundant number, since it is smaller than the sum of its proper divisors (206654068280).

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

134013010120 is a wasteful number, since it uses less digits than its factorization.

134013010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11879 (or 11875 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 134013010120 its reverse (21010310431), we get a palindrome (155023320551).

The spelling of 134013010120 in words is "one hundred thirty-four billion, thirteen million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 967 1160 1276 1595 1934 2552 3190 3868 4835 6380 7736 9670 10637 10861 12760 19340 21274 21722 28043 38680 42548 43444 53185 54305 56086 85096 86888 106370 108610 112172 119471 140215 212740 217220 224344 238942 280430 308473 314969 425480 434440 477884 560860 597355 616946 629938 955768 1121720 1194710 1233892 1259876 1542365 1574845 2389420 2467784 2519752 3084730 3149690 3464659 4778840 6169460 6299380 6929318 10502587 12338920 12598760 13858636 17323295 21005174 27717272 34646590 42010348 52512935 69293180 84020696 105025870 115528457 138586360 210051740 231056914 304575023 420103480 462113828 577642285 609150046 924227656 1155284570 1218300092 1522875115 2310569140 2436600184 3045750230 3350325253 4621138280 6091500460 6700650506 12183000920 13401301012 16751626265 26802602024 33503252530 67006505060 134013010120