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131401120 = 2554371269
BaseRepresentation
bin1111101010100…
…00010110100000
3100011020212110011
413311100112200
5232114313440
621012214304
73153614434
oct765202640
9304225404
10131401120
1168199674
123800a394
13212b9456
14136469c4
15b8089ea
hex7d505a0

131401120 has 96 divisors (see below), whose sum is σ = 323326080. Its totient is φ = 50426880.

The previous prime is 131401103. The next prime is 131401129. The reversal of 131401120 is 21104131.

It is a self number, because there is not a number n which added to its sum of digits gives 131401120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131401129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488346 + ... + 488614.

It is an arithmetic number, because the mean of its divisors is an integer number (3367980).

Almost surely, 2131401120 is an apocalyptic number.

131401120 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 131401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161663040).

131401120 is an abundant number, since it is smaller than the sum of its proper divisors (191924960).

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

131401120 is a wasteful number, since it uses less digits than its factorization.

131401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 131401120 is about 11463.0327575210. The cubic root of 131401120 is about 508.3931484452.

Adding to 131401120 its reverse (21104131), we get a palindrome (152505251).

The spelling of 131401120 in words is "one hundred thirty-one million, four hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 71 80 86 142 160 172 215 269 284 344 355 430 538 568 688 710 860 1076 1136 1345 1376 1420 1720 2152 2272 2690 2840 3053 3440 4304 5380 5680 6106 6880 8608 10760 11360 11567 12212 15265 19099 21520 23134 24424 30530 38198 43040 46268 48848 57835 61060 76396 92536 95495 97696 115670 122120 152792 185072 190990 231340 244240 305584 370144 381980 462680 488480 611168 763960 821257 925360 1527920 1642514 1850720 3055840 3285028 4106285 6570056 8212570 13140112 16425140 26280224 32850280 65700560 131401120