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3034001022120 = 2332517495751801
BaseRepresentation
bin101100001001101000100…
…011011001110010101000
3101202001021202012011100200
4230021220203121302220
5344202113230201440
610241444551232200
7432125242114335
oct54115043316250
911661252164320
103034001022120
11a6a792531962
12410014978660
13190149ab39c3
14a6bbc87d98c
1553dc4745c30
hex2c2688d9ca8

3034001022120 has 96 divisors (see below), whose sum is σ = 10440532950120. Its totient is φ = 761474764800.

The previous prime is 3034001022077. The next prime is 3034001022359. The reversal of 3034001022120 is 212201004303.

3034001022120 is a `hidden beast` number, since 30 + 3 + 400 + 10 + 221 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1812679864164 + 1221321157956 = 1346358^2 + 1105134^2 .

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 = 3034001022093 and 3034001022102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247869781 + ... + 247882020.

Almost surely, 23034001022120 is an apocalyptic number.

3034001022120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3034001022120 is an abundant number, since it is smaller than the sum of its proper divisors (7406531928000).

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

3034001022120 is a wasteful number, since it uses less digits than its factorization.

3034001022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495751835 (or 495751828 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3034001022120 its reverse (212201004303), we get a palindrome (3246202026423).

The spelling of 3034001022120 in words is "three trillion, thirty-four billion, one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 495751801 991503602 1487255403 1983007204 2478759005 2974510806 3966014408 4461766209 4957518010 5949021612 7436277015 8427780617 8923532418 9915036020 11898043224 14872554030 16855561234 17847064836 19830072040 22308831045 25283341851 29745108060 33711122468 35694129672 42138903085 44617662090 50566683702 59490216120 67422244936 75850025553 84277806170 89235324180 101133367404 126416709255 151700051106 168555612340 178470648360 202266734808 252833418510 303400102212 337111224680 379250127765 505666837020 606800204424 758500255530 1011333674040 1517000511060 3034001022120