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3042251300 = 225211101139197
BaseRepresentation
bin1011010101010101…
…0001001000100100
321212000112101020002
42311111101020210
522212304020200
61221514000432
7135250465214
oct26525211044
97760471202
103042251300
1113212a9480
1270aa16118
133963889ca
1420c084244
1512c13cbd5
hexb5551224

3042251300 has 144 divisors (see below), whose sum is σ = 7362653760. Its totient is φ = 1081920000.

The previous prime is 3042251299. The next prime is 3042251323. The reversal of 3042251300 is 31522403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 15442802 + ... + 15442998.

It is an arithmetic number, because the mean of its divisors is an integer number (51129540).

Almost surely, 23042251300 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 3042251300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681326880).

3042251300 is an abundant number, since it is smaller than the sum of its proper divisors (4320402460).

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

3042251300 is a wasteful number, since it uses less digits than its factorization.

3042251300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3042251300 is about 55156.6070385045. The cubic root of 3042251300 is about 1448.9887995314.

Adding to 3042251300 its reverse (31522403), we get a palindrome (3073773703).

The spelling of 3042251300 in words is "three billion, forty-two million, two hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 139 197 202 220 275 278 394 404 505 550 556 695 788 985 1010 1100 1111 1390 1529 1970 2020 2167 2222 2525 2780 3058 3475 3940 4334 4444 4925 5050 5555 6116 6950 7645 8668 9850 10100 10835 11110 13900 14039 15290 19700 19897 21670 22220 27383 27775 28078 30580 38225 39794 43340 54175 54766 55550 56156 70195 76450 79588 99485 108350 109532 111100 136915 140390 152900 154429 198970 216700 218867 273830 280780 301213 308858 350975 397940 437734 497425 547660 602426 617716 684575 701950 772145 875468 994850 1094335 1204852 1369150 1403900 1506065 1544290 1989700 2188670 2738300 2765683 3012130 3088580 3860725 4377340 5471675 5531366 6024260 7530325 7721450 10943350 11062732 13828415 15060650 15442900 21886700 27656830 30121300 30422513 55313660 60845026 69142075 121690052 138284150 152112565 276568300 304225130 608450260 760562825 1521125650 3042251300