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130221020142 = 2336188344771
BaseRepresentation
bin111100101000111000…
…1110001001111101110
3110110010022211020021000
41321101301301033232
54113143040121032
6135453412221130
712256666256643
oct1712161611756
9413108736230
10130221020142
1150254409904
12212a290a7a6
13c38390b695
14643499ddca
1535c2470e7c
hex1e51c713ee

130221020142 has 64 divisors (see below), whose sum is σ = 294463653120. Its totient is φ = 42646111200.

The previous prime is 130221020107. The next prime is 130221020161. The reversal of 130221020142 is 241020122031.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2886217 + ... + 2930987.

It is an arithmetic number, because the mean of its divisors is an integer number (4600994580).

Almost surely, 2130221020142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130221020142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147231826560).

130221020142 is an abundant number, since it is smaller than the sum of its proper divisors (164242632978).

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

130221020142 is a wasteful number, since it uses less digits than its factorization.

130221020142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45726 (or 45720 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 130221020142 its reverse (241020122031), we get a palindrome (371241142173).

The spelling of 130221020142 in words is "one hundred thirty billion, two hundred twenty-one million, twenty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 883 1098 1647 1766 2649 3294 5298 7947 15894 23841 44771 47682 53863 89542 107726 134313 161589 268626 323178 402939 484767 805878 969534 1208817 1454301 2417634 2731031 2908602 5462062 8193093 16386186 24579279 39532793 49158558 73737837 79065586 118598379 147475674 237196758 355795137 711590274 1067385411 2134770822 2411500373 4823000746 7234501119 14469002238 21703503357 43407006714 65110510071 130221020142