Search a number
-
+
3052313100 = 22325213125889
BaseRepresentation
bin1011010111101110…
…1001101000001100
321212201110120102100
42311323221220030
522222343004400
61222513355100
7135432143004
oct26573515014
97781416370
103052313100
111326a51011
12712268a90
1339849c735
1420d543004
1512ce79100
hexb5ee9a0c

3052313100 has 108 divisors (see below), whose sum is σ = 9640711080. Its totient is φ = 807705600.

The previous prime is 3052313081. The next prime is 3052313107. The reversal of 3052313100 is 13132503.

3052313100 is a `hidden beast` number, since 30 + 523 + 13 + 100 = 666.

It is a super-2 number, since 2×30523131002 = 18633230520863220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3052313107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104956 + ... + 130844.

Almost surely, 23052313100 is an apocalyptic number.

3052313100 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 3052313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820355540).

3052313100 is an abundant number, since it is smaller than the sum of its proper divisors (6588397980).

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

3052313100 is a wasteful number, since it uses less digits than its factorization.

3052313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26040 (or 26030 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 3052313100 is about 55247.7429403229. The cubic root of 3052313100 is about 1450.5844809769.

Adding to 3052313100 its reverse (13132503), we get a palindrome (3065445603).

The spelling of 3052313100 in words is "three billion, fifty-two million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 131 150 180 225 262 300 393 450 524 655 786 900 1179 1310 1572 1965 2358 2620 3275 3930 4716 5895 6550 7860 9825 11790 13100 19650 23580 25889 29475 39300 51778 58950 77667 103556 117900 129445 155334 233001 258890 310668 388335 466002 517780 647225 776670 932004 1165005 1294450 1553340 1941675 2330010 2588900 3391459 3883350 4660020 5825025 6782918 7766700 10174377 11650050 13565836 16957295 20348754 23300100 30523131 33914590 40697508 50871885 61046262 67829180 84786475 101743770 122092524 152615655 169572950 203487540 254359425 305231310 339145900 508718850 610462620 763078275 1017437700 1526156550 3052313100