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130202112 = 293293779
BaseRepresentation
bin1111100001010…
…11101000000000
3100001222221201110
413300223220000
5231312431422
620530403320
73140461665
oct760535000
9301887643
10130202112
116754a857
1237730540
1320c89791
1413413a6c
15b66d60c
hex7c2ba00

130202112 has 160 divisors (see below), whose sum is σ = 373190400. Its totient is φ = 40255488.

The previous prime is 130202071. The next prime is 130202113. The reversal of 130202112 is 211202031.

130202112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130202113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1648089 + ... + 1648167.

It is an arithmetic number, because the mean of its divisors is an integer number (2332440).

Almost surely, 2130202112 is an apocalyptic number.

130202112 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 130202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186595200).

130202112 is an abundant number, since it is smaller than the sum of its proper divisors (242988288).

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

130202112 is an equidigital number, since it uses as much as digits as its factorization.

130202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 130202112 is about 11410.6140062663. The cubic root of 130202112 is about 506.8420937626.

Adding to 130202112 its reverse (211202031), we get a palindrome (341404143).

The spelling of 130202112 in words is "one hundred thirty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 37 48 58 64 74 79 87 96 111 116 128 148 158 174 192 222 232 237 256 296 316 348 384 444 464 474 512 592 632 696 768 888 928 948 1073 1184 1264 1392 1536 1776 1856 1896 2146 2291 2368 2528 2784 2923 3219 3552 3712 3792 4292 4582 4736 5056 5568 5846 6438 6873 7104 7424 7584 8584 8769 9164 9472 10112 11136 11692 12876 13746 14208 14848 15168 17168 17538 18328 18944 20224 22272 23384 25752 27492 28416 30336 34336 35076 36656 40448 44544 46768 51504 54984 56832 60672 68672 70152 73312 84767 93536 103008 109968 121344 137344 140304 146624 169534 187072 206016 219936 254301 274688 280608 293248 339068 374144 412032 439872 508602 549376 561216 586496 678136 748288 824064 879744 1017204 1122432 1172992 1356272 1496576 1648128 1759488 2034408 2244864 2712544 3518976 4068816 4489728 5425088 8137632 10850176 16275264 21700352 32550528 43400704 65101056 130202112