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130311032220 = 2232519274113901
BaseRepresentation
bin111100101011100100…
…1001000110110011100
3110110100121012022121200
41321113021020312130
54113334111012340
6135510345355500
712262141332555
oct1712711106634
9413317168550
10130311032220
11502a01a9256
1221308a98b90
13c399465c75
14644291132c
1535ca301330
hex1e57248d9c

130311032220 has 144 divisors (see below), whose sum is σ = 416262581280. Its totient is φ = 32906304000.

The previous prime is 130311032197. The next prime is 130311032227. The reversal of 130311032220 is 22230113031.

130311032220 is a `hidden beast` number, since 1 + 30 + 311 + 0 + 322 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 130311032193 and 130311032202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130311032227) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9367270 + ... + 9381170.

It is an arithmetic number, because the mean of its divisors is an integer number (2890712370).

Almost surely, 2130311032220 is an apocalyptic number.

130311032220 is a gapful number since it is divisible by the number (10) 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 130311032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208131290640).

130311032220 is an abundant number, since it is smaller than the sum of its proper divisors (285951549060).

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

130311032220 is a wasteful number, since it uses less digits than its factorization.

130311032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16676 (or 16671 counting only the distinct ones).

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

Adding to 130311032220 its reverse (22230113031), we get a palindrome (152541145251).

The spelling of 130311032220 in words is "one hundred thirty billion, three hundred eleven million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 2741 3420 5482 8223 10964 13705 13901 16446 24669 27410 27802 32892 41115 41703 49338 52079 54820 55604 69505 82230 83406 98676 104158 123345 125109 139010 156237 164460 166812 208316 208515 246690 250218 260395 264119 278020 312474 417030 468711 493380 500436 520790 528238 624948 625545 781185 792357 834060 937422 1041580 1056476 1251090 1320595 1562370 1584714 1874844 2343555 2377071 2502180 2641190 3124740 3169428 3961785 4687110 4754142 5282380 7923570 9374220 9508284 11885355 15847140 23770710 38102641 47541420 76205282 114307923 152410564 190513205 228615846 342923769 381026410 457231692 571539615 685847538 723950179 762052820 1143079230 1371695076 1447900358 1714618845 2171850537 2286158460 2895800716 3429237690 3619750895 4343701074 6515551611 6858475380 7239501790 8687402148 10859252685 13031103222 14479003580 21718505370 26062206444 32577758055 43437010740 65155516110 130311032220