Search a number
-
+
3010242100 = 2252109277997
BaseRepresentation
bin1011001101101100…
…1010011000110100
321202210022010212011
42303123022120310
522131110221400
61214411534004
7134411431015
oct26333123064
97683263764
103010242100
111305226498
1270015a304
1338c85c358
14207b1100c
151294188ba
hexb36ca634

3010242100 has 72 divisors (see below), whose sum is σ = 6622588280. Its totient is φ = 1187550720.

The previous prime is 3010242061. The next prime is 3010242101. The reversal of 3010242100 is 12420103.

3010242100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 479347236 + 2530894864 = 21894^2 + 50308^2 .

It is a super-2 number, since 2×30102421002 = 18123115001224820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3010242101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3018802 + ... + 3019798.

Almost surely, 23010242100 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 3010242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311294140).

3010242100 is an abundant number, since it is smaller than the sum of its proper divisors (3612346180).

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

3010242100 is a wasteful number, since it uses less digits than its factorization.

3010242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3010242100 is about 54865.6732392851. The cubic root of 3010242100 is about 1443.8890020649.

Adding to 3010242100 its reverse (12420103), we get a palindrome (3022662203).

The spelling of 3010242100 in words is "three billion, ten million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 277 436 545 554 997 1090 1108 1385 1994 2180 2725 2770 3988 4985 5450 5540 6925 9970 10900 13850 19940 24925 27700 30193 49850 60386 99700 108673 120772 150965 217346 276169 301930 434692 543365 552338 603860 754825 1086730 1104676 1380845 1509650 2173460 2716825 2761690 3019300 5433650 5523380 6904225 10867300 13808450 27616900 30102421 60204842 120409684 150512105 301024210 602048420 752560525 1505121050 3010242100