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130701120 = 26351112377
BaseRepresentation
bin1111100101001…
…01011101000000
3100002221022020020
413302211131000
5231424413440
620545213440
73144640554
oct762453500
9302838206
10130701120
1167860760
1237931280
1321102954
1413503864
15b71b3d0
hex7ca5740

130701120 has 112 divisors (see below), whose sum is σ = 452737728. Its totient is φ = 31682560.

The previous prime is 130701119. The next prime is 130701139. The reversal of 130701120 is 21107031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130701120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4372 + ... + 16748.

Almost surely, 2130701120 is an apocalyptic number.

130701120 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 130701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226368864).

130701120 is an abundant number, since it is smaller than the sum of its proper divisors (322036608).

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

130701120 is a wasteful number, since it uses less digits than its factorization.

130701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12408 (or 12398 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 130701120 is about 11432.4590530647. The cubic root of 130701120 is about 507.4887700040.

Adding to 130701120 its reverse (21107031), we get a palindrome (151808151).

It can be divided in two parts, 1307011 and 20, that added together give a palindrome (1307031).

The spelling of 130701120 in words is "one hundred thirty million, seven hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 12377 24754 37131 49508 61885 74262 99016 123770 136147 148524 185655 198032 247540 272294 297048 371310 396064 408441 495080 544588 594096 680735 742620 792128 816882 990160 1089176 1188192 1361470 1485240 1633764 1980320 2042205 2178352 2376384 2722940 2970480 3267528 3960640 4084410 4356704 5445880 5940960 6535056 8168820 8713408 10891760 11881920 13070112 16337640 21783520 26140224 32675280 43567040 65350560 130701120