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130111233320 = 23517230613677
BaseRepresentation
bin111100100101100111…
…0111101110100101000
3110102211200020111001102
41321023032331310220
54112431433431240
6135434451140532
712254164143515
oct1711316756450
9412750214042
10130111233320
11501a84433a2
1221271ba4748
13c366c4c373
14642418230c
1535b79d6815
hex1e4b3bdd28

130111233320 has 96 divisors (see below), whose sum is σ = 311170054680. Its totient is φ = 48953733120.

The previous prime is 130111233313. The next prime is 130111233353. The reversal of 130111233320 is 23332111031.

It can be written as a sum of positive squares in 12 ways, for example, as 99120447556 + 30990785764 = 314834^2 + 176042^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130111233292 and 130111233301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35383322 + ... + 35386998.

Almost surely, 2130111233320 is an apocalyptic number.

130111233320 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 130111233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155585027340).

130111233320 is an abundant number, since it is smaller than the sum of its proper divisors (181058821360).

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

130111233320 is a wasteful number, since it uses less digits than its factorization.

130111233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6783 (or 6762 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 130111233320 its reverse (23332111031), we get a palindrome (153443344351).

The spelling of 130111233320 in words is "one hundred thirty billion, one hundred eleven million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 3061 3677 5780 6122 7354 11560 12244 14708 15305 18385 24488 29416 30610 36770 52037 61220 62509 73540 104074 122440 125018 147080 208148 250036 260185 312545 416296 500072 520370 625090 884629 1040740 1062653 1250180 1769258 2081480 2125306 2500360 3538516 4250612 4423145 5313265 7077032 8501224 8846290 10626530 11255297 17692580 21253060 22510594 35385160 42506120 45021188 56276485 90042376 112552970 191340049 225105940 382680098 450211880 765360196 956700245 1530720392 1913400490 3252780833 3826800980 6505561666 7653601960 13011123332 16263904165 26022246664 32527808330 65055616660 130111233320