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131032334440 = 23572928157427
BaseRepresentation
bin111101000001000100…
…0101100000001101000
3110112012212110021020201
41322002020230001220
54121323234200230
6140110113401544
712316050315520
oct1720210540150
9415185407221
10131032334440
1150630378297
122148a5692b4
13c482a23407
1464b0632680
15361d7d05ca
hex1e8222c068

131032334440 has 128 divisors (see below), whose sum is σ = 349805433600. Its totient is φ = 43221104640.

The previous prime is 131032334429. The next prime is 131032334449. The reversal of 131032334440 is 44433230131.

It is a super-2 number, since 2×1310323344402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 131032334399 and 131032334408.

It is not an unprimeable number, because it can be changed into a prime (131032334449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2253007 + ... + 2310433.

It is an arithmetic number, because the mean of its divisors is an integer number (2732854950).

Almost surely, 2131032334440 is an apocalyptic number.

131032334440 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 131032334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174902716800).

131032334440 is an abundant number, since it is smaller than the sum of its proper divisors (218773099160).

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

131032334440 is a wasteful number, since it uses less digits than its factorization.

131032334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57755 (or 57751 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 131032334440 its reverse (44433230131), we get a palindrome (175465564571).

The spelling of 131032334440 in words is "one hundred thirty-one billion, thirty-two million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 281 290 406 562 580 812 1015 1124 1160 1405 1624 1967 2030 2248 2810 3934 4060 5620 7868 8120 8149 9835 11240 15736 16298 19670 32596 39340 40745 57043 57427 65192 78680 81490 114086 114854 162980 228172 229708 285215 287135 325960 401989 456344 459416 570430 574270 803978 1140860 1148540 1607956 1665383 2009945 2281720 2297080 3215912 3330766 4019890 6661532 8039780 8326915 11657681 13323064 16079560 16136987 16653830 23315362 32273974 33307660 46630724 58288405 64547948 66615320 80684935 93261448 112958909 116576810 129095896 161369870 225917818 233153620 322739740 451835636 466307240 467972623 564794545 645479480 903671272 935945246 1129589090 1871890492 2259178180 2339863115 3275808361 3743780984 4518356360 4679726230 6551616722 9359452460 13103233444 16379041805 18718904920 26206466888 32758083610 65516167220 131032334440