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130222203132 = 223717276732957
BaseRepresentation
bin111100101000111011…
…0010010000011111100
3110110010102001100000110
41321101312102003330
54113143341000012
6135453453430020
712260012314620
oct1712166220374
9413112040013
10130222203132
115025504768a
12212a319b310
13c383c33c88
146434bcb180
1535c260673c
hex1e51d920fc

130222203132 has 96 divisors (see below), whose sum is σ = 367830263808. Its totient is φ = 35004017664.

The previous prime is 130222203119. The next prime is 130222203143. The reversal of 130222203132 is 231302222031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 130222203099 and 130222203108.

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 31 ways as a sum of consecutive naturals, for example, 3934798 + ... + 3967754.

It is an arithmetic number, because the mean of its divisors is an integer number (3831565248).

Almost surely, 2130222203132 is an apocalyptic number.

130222203132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130222203132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183915131904).

130222203132 is an abundant number, since it is smaller than the sum of its proper divisors (237608060676).

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

130222203132 is a wasteful number, since it uses less digits than its factorization.

130222203132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35755 (or 35753 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 130222203132 its reverse (231302222031), we get a palindrome (361524425163).

The spelling of 130222203132 in words is "one hundred thirty billion, two hundred twenty-two million, two hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 2767 5534 8301 11068 16602 19369 32957 33204 38738 47039 58107 65914 77476 94078 98871 116214 131828 141117 188156 197742 230699 232428 282234 329273 395484 461398 560269 564468 658546 692097 922796 987819 1120538 1317092 1384194 1680807 1975638 2241076 2768388 3361614 3921883 3951276 6723228 7843766 11765649 15687532 23531298 47062596 91192019 182384038 273576057 364768076 547152114 638344133 1094304228 1276688266 1550264323 1915032399 2553376532 3100528646 3830064798 4650792969 6201057292 7660129596 9301585938 10851850261 18603171876 21703700522 32555550783 43407401044 65111101566 130222203132