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130222103120 = 24514891093201
BaseRepresentation
bin111100101000111010…
…1111001101001010000
3110110010101212020211022
41321101311321221100
54113143324244440
6135453451335012
712260011420214
oct1712165715120
9413111766738
10130222103120
1150254a8952a
12212a3151468
13c383bca5b5
146434ba2944
1535c25d6cb5
hex1e51d79a50

130222103120 has 40 divisors (see below), whose sum is σ = 302970002280. Its totient is φ = 52053811200.

The previous prime is 130222103111. The next prime is 130222103131. The reversal of 130222103120 is 21301222031.

It can be written as a sum of positive squares in 4 ways, for example, as 4911767056 + 125310336064 = 70084^2 + 353992^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1302221031202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427481 + ... + 665720.

It is an arithmetic number, because the mean of its divisors is an integer number (7574250057).

Almost surely, 2130222103120 is an apocalyptic number.

130222103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130222103120 is an abundant number, since it is smaller than the sum of its proper divisors (172747899160).

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

130222103120 is a wasteful number, since it uses less digits than its factorization.

130222103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094703 (or 1094697 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 130222103120 its reverse (21301222031), we get a palindrome (151523325151).

The spelling of 130222103120 in words is "one hundred thirty billion, two hundred twenty-two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1489 2978 5956 7445 11912 14890 23824 29780 59560 119120 1093201 2186402 4372804 5466005 8745608 10932010 17491216 21864020 43728040 87456080 1627776289 3255552578 6511105156 8138881445 13022210312 16277762890 26044420624 32555525780 65111051560 130222103120