Search a number
-
+
210131321130 = 232543101537599
BaseRepresentation
bin1100001110110011001…
…1011000000100101010
3202002101102011010100100
43003230303120010222
511420322104234010
6240311043250230
721116151521253
oct3035463300452
9662342133310
10210131321130
118113071a775
1234884679976
1316a7a298553
14a255869b2a
1556ecb222c0
hex30eccd812a

210131321130 has 96 divisors (see below), whose sum is σ = 564583219200. Its totient is φ = 54189878400.

The previous prime is 210131321119. The next prime is 210131321137. The reversal of 210131321130 is 31123131012.

210131321130 is a `hidden beast` number, since 210 + 1 + 3 + 1 + 321 + 130 = 666.

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 (210131321137) 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 47 ways as a sum of consecutive naturals, for example, 122071 + ... + 659669.

It is an arithmetic number, because the mean of its divisors is an integer number (5881075200).

Almost surely, 2210131321130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210131321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282291609600).

210131321130 is an abundant number, since it is smaller than the sum of its proper divisors (354451898070).

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

210131321130 is a wasteful number, since it uses less digits than its factorization.

210131321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537756 (or 537753 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 210131321130 its reverse (31123131012), we get a palindrome (241254452142).

The spelling of 210131321130 in words is "two hundred ten billion, one hundred thirty-one million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 101 129 202 215 258 303 387 430 505 606 645 774 909 1010 1290 1515 1818 1935 3030 3870 4343 4545 8686 9090 13029 21715 26058 39087 43430 65145 78174 130290 195435 390870 537599 1075198 1612797 2687995 3225594 4838391 5375990 8063985 9676782 16127970 23116757 24191955 46233514 48383910 54297499 69350271 108594998 115583785 138700542 162892497 208050813 231167570 271487495 325784994 346751355 416101626 488677491 542974990 693502710 814462485 977354982 1040254065 1628924970 2080508130 2334792457 2443387455 4669584914 4886774910 7004377371 11673962285 14008754742 21013132113 23347924570 35021886855 42026264226 70043773710 105065660565 210131321130