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3001121420 = 22511233171871
BaseRepresentation
bin1011001011100001…
…0111101010001100
321202011010202122012
42302320113222030
522121241341140
61213444240352
7134241053063
oct26270275214
97664122565
103001121420
111300066a40
126b90a00b8
1338a9b7abb
142068191da
15128716265
hexb2e17a8c

3001121420 has 96 divisors (see below), whose sum is σ = 7200700416. Its totient is φ = 1040019200.

The previous prime is 3001121413. The next prime is 3001121423. The reversal of 3001121420 is 241211003.

3001121420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3001121395 and 3001121404.

It is not an unprimeable number, because it can be changed into a prime (3001121423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1603085 + ... + 1604955.

It is an arithmetic number, because the mean of its divisors is an integer number (75007296).

Almost surely, 23001121420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001121420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600350208).

3001121420 is an abundant number, since it is smaller than the sum of its proper divisors (4199578996).

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

3001121420 is a wasteful number, since it uses less digits than its factorization.

3001121420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 3001121420 is about 54782.4919111937. The cubic root of 3001121420 is about 1442.4292554216.

Adding to 3001121420 its reverse (241211003), we get a palindrome (3242332423).

It can be divided in two parts, 3001 and 121420, that added together give a palindrome (124421).

The spelling of 3001121420 in words is "three billion, one million, one hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 317 460 506 634 1012 1265 1268 1585 1871 2530 3170 3487 3742 5060 6340 6974 7291 7484 9355 13948 14582 17435 18710 20581 29164 34870 36455 37420 41162 43033 69740 72910 80201 82324 86066 102905 145820 160402 172132 205810 215165 320804 401005 411620 430330 473363 593107 802010 860660 946726 1186214 1604020 1893452 2366815 2372428 2965535 4733630 5931070 6524177 9467260 11862140 13048354 13641461 26096708 27282922 32620885 54565844 65241770 68207305 130483540 136414610 150056071 272829220 300112142 600224284 750280355 1500560710 3001121420