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131120424330 = 235741142910657
BaseRepresentation
bin111101000011101100…
…0101110010110001010
3110112110000012200212020
41322013120232112022
54122013312034310
6140122541425310
712321200134410
oct1720730562612
9415400180766
10131120424330
1150676074555
12214b3b6b236
13c498056acc
1464bc2032b0
1536263d1170
hex1e8762e58a

131120424330 has 128 divisors (see below), whose sum is σ = 368708820480. Its totient is φ = 29216194560.

The previous prime is 131120424311. The next prime is 131120424343. The reversal of 131120424330 is 33424021131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131120424330.

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, 12298362 + ... + 12309018.

It is an arithmetic number, because the mean of its divisors is an integer number (2880537660).

Almost surely, 2131120424330 is an apocalyptic number.

131120424330 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 131120424330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184354410240).

131120424330 is an abundant number, since it is smaller than the sum of its proper divisors (237588396150).

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

131120424330 is a wasteful number, since it uses less digits than its factorization.

131120424330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12144.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131120424330 its reverse (33424021131), we get a palindrome (164544445461).

The spelling of 131120424330 in words is "one hundred thirty-one billion, one hundred twenty million, four hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1429 1435 1722 2858 2870 4287 4305 7145 8574 8610 10003 10657 14290 20006 21314 21435 30009 31971 42870 50015 53285 58589 60018 63942 74599 100030 106570 117178 149198 150045 159855 175767 223797 292945 300090 319710 351534 372995 410123 436937 447594 585890 745990 820246 873874 878835 1118985 1230369 1310811 1757670 2050615 2184685 2237970 2460738 2621622 3058559 4101230 4369370 6117118 6151845 6554055 9175677 12303690 13108110 15228853 15292795 18351354 30457706 30585590 45686559 45878385 76144265 91373118 91756770 106601971 152288530 213203942 228432795 319805913 456865590 533009855 624382973 639611826 1066019710 1248765946 1599029565 1873148919 3121914865 3198059130 3746297838 4370680811 6243829730 8741361622 9365744595 13112042433 18731489190 21853404055 26224084866 43706808110 65560212165 131120424330