Search a number
-
+
130222331010 = 232510123116199
BaseRepresentation
bin111100101000111011…
…0110001010010000010
3110110010102021211102200
41321101312301102002
54113143404043020
6135453500254030
712260013356502
oct1712166612202
9413112254380
10130222331010
1150255124772
12212a3241316
13c383c7a245
146434c21a02
1535c262e590
hex1e51db1482

130222331010 has 96 divisors (see below), whose sum is σ = 342133459200. Its totient is φ = 34361712000.

The previous prime is 130222330991. The next prime is 130222331011. The reversal of 130222331010 is 10133222031.

130222331010 is a `hidden beast` number, since 1 + 302 + 22 + 331 + 0 + 10 = 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 (130222331011) 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, 21003891 + ... + 21010089.

It is an arithmetic number, because the mean of its divisors is an integer number (3563890200).

Almost surely, 2130222331010 is an apocalyptic number.

130222331010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130222331010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171066729600).

130222331010 is an abundant number, since it is smaller than the sum of its proper divisors (211911128190).

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

130222331010 is a wasteful number, since it uses less digits than its factorization.

130222331010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8624 (or 8621 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130222331010 its reverse (10133222031), we get a palindrome (140355553041).

The spelling of 130222331010 in words is "one hundred thirty billion, two hundred twenty-two million, three hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 2311 3030 4545 4622 6199 6933 9090 11555 12398 13866 18597 20799 23110 30995 34665 37194 41598 55791 61990 69330 92985 103995 111582 185970 207990 233411 278955 466822 557910 626099 700233 1167055 1252198 1400466 1878297 2100699 2334110 3130495 3501165 3756594 4201398 5634891 6260990 7002330 9391485 10503495 11269782 14325889 18782970 21006990 28174455 28651778 42977667 56348910 71629445 85955334 128933001 143258890 214888335 257866002 429776670 644665005 1289330010 1446914789 2893829578 4340744367 7234573945 8681488734 13022233101 14469147890 21703721835 26044466202 43407443670 65111165505 130222331010