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3001212420 = 22351372331567
BaseRepresentation
bin1011001011100010…
…1101111000000100
321202011022101110120
42302320231320010
522121302244140
61213450221540
7134241612303
oct26270557004
97664271416
103001212420
111300119348
126b91248b0
1338aa1a34b
1420684043a
151287331d0
hexb2e2de04

3001212420 has 96 divisors (see below), whose sum is σ = 8506487808. Its totient is φ = 790566912.

The previous prime is 3001212371. The next prime is 3001212421. The reversal of 3001212420 is 242121003.

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 3001212420.

It is not an unprimeable number, because it can be changed into a prime (3001212421) 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, 1914477 + ... + 1916043.

It is an arithmetic number, because the mean of its divisors is an integer number (88609248).

Almost surely, 23001212420 is an apocalyptic number.

3001212420 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 3001212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253243904).

3001212420 is an abundant number, since it is smaller than the sum of its proper divisors (5505275388).

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

3001212420 is a wasteful number, since it uses less digits than its factorization.

3001212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3001212420 is about 54783.3224622238. The cubic root of 3001212420 is about 1442.4438343869.

Adding to 3001212420 its reverse (242121003), we get a palindrome (3243333423).

The spelling of 3001212420 in words is "three billion, one million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 233 274 411 466 548 685 699 822 932 1165 1370 1398 1567 1644 2055 2330 2740 2796 3134 3495 4110 4660 4701 6268 6990 7835 8220 9402 13980 15670 18804 23505 31340 31921 47010 63842 94020 95763 127684 159605 191526 214679 319210 365111 383052 429358 478815 638420 644037 730222 858716 957630 1073395 1095333 1288074 1460444 1825555 1915260 2146790 2190666 2576148 3220185 3651110 4293580 4381332 5476665 6440370 7302220 10953330 12880740 21906660 50020207 100040414 150060621 200080828 250101035 300121242 500202070 600242484 750303105 1000404140 1500606210 3001212420