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3010134120 = 2335711233191
BaseRepresentation
bin1011001101101011…
…0000000001101000
321202210002122201220
42303122300001220
522131043242440
61214405342040
7134410501140
oct26332600150
97683078656
103010134120
111305162354
12700107920
1338c822166
14207ac3920
151293e68d0
hexb36b0068

3010134120 has 128 divisors (see below), whose sum is σ = 10332887040. Its totient is φ = 687202560.

The previous prime is 3010134107. The next prime is 3010134133. The reversal of 3010134120 is 214310103.

It is an interprime number because it is at equal distance from previous prime (3010134107) and next prime (3010134133).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3010134120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 941725 + ... + 944915.

It is an arithmetic number, because the mean of its divisors is an integer number (80725680).

Almost surely, 23010134120 is an apocalyptic number.

3010134120 is a gapful number since it is divisible by the number (30) 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 3010134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166443520).

3010134120 is an abundant number, since it is smaller than the sum of its proper divisors (7322752920).

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

3010134120 is a wasteful number, since it uses less digits than its factorization.

3010134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3010134120 is about 54864.6891907719. The cubic root of 3010134120 is about 1443.8717373407.

Adding to 3010134120 its reverse (214310103), we get a palindrome (3224444223).

The spelling of 3010134120 in words is "three billion, ten million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1123 2246 3191 3369 4492 5615 6382 6738 7861 8984 9573 11230 12764 13476 15722 15955 16845 19146 22337 22460 23583 25528 26952 31444 31910 33690 38292 39305 44674 44920 47166 47865 62888 63820 67011 67380 76584 78610 89348 94332 95730 111685 117915 127640 134022 134760 157220 178696 188664 191460 223370 235830 268044 314440 335055 382920 446740 471660 536088 670110 893480 943320 1340220 2680440 3583493 7166986 10750479 14333972 17917465 21500958 25084451 28667944 35834930 43001916 50168902 53752395 71669860 75253353 86003832 100337804 107504790 125422255 143339720 150506706 200675608 215009580 250844510 301013412 376266765 430019160 501689020 602026824 752533530 1003378040 1505067060 3010134120