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130222232010 = 233513139266909
BaseRepresentation
bin111100101000111011…
…0011001000111001010
3110110010102002210122000
41321101312121013022
54113143342411020
6135453454211430
712260012465043
oct1712166310712
9413112083560
10130222232010
1150255067352
12212a31b3b76
13c383c44170
146434bd78ca
1535c2610090
hex1e51d991ca

130222232010 has 128 divisors (see below), whose sum is σ = 376663392000. Its totient is φ = 31823974656.

The previous prime is 130222232009. The next prime is 130222232069. The reversal of 130222232010 is 10232222031.

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

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 63 ways as a sum of consecutive naturals, for example, 354436 + ... + 621344.

It is an arithmetic number, because the mean of its divisors is an integer number (2942682750).

Almost surely, 2130222232010 is an apocalyptic number.

130222232010 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 130222232010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188331696000).

130222232010 is an abundant number, since it is smaller than the sum of its proper divisors (246441159990).

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

130222232010 is a wasteful number, since it uses less digits than its factorization.

130222232010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267077 (or 267071 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130222232010 its reverse (10232222031), we get a palindrome (140454454041).

The spelling of 130222232010 in words is "one hundred thirty billion, two hundred twenty-two million, two hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 139 195 234 270 278 351 390 417 585 695 702 834 1170 1251 1390 1755 1807 2085 2502 3510 3614 3753 4170 5421 6255 7506 9035 10842 12510 16263 18070 18765 27105 32526 37530 48789 54210 81315 97578 162630 243945 266909 487890 533818 800727 1334545 1601454 2402181 2669090 3469817 4003635 4804362 6939634 7206543 8007270 10409451 12010905 14413086 17349085 20818902 24021810 31228353 34698170 36032715 37100351 52047255 62456706 72065430 74200702 93685059 104094510 111301053 156141765 185501755 187370118 222602106 312283530 333903159 371003510 468425295 482304563 556505265 667806318 936850590 964609126 1001709477 1113010530 1446913689 1669515795 2003418954 2411522815 2893827378 3339031590 4340741067 4823045630 5008547385 7234568445 8681482134 10017094770 13022223201 14469136890 21703705335 26044446402 43407410670 65111116005 130222232010