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131320332 = 223311213773
BaseRepresentation
bin1111101001111…
…00101000001100
3100011002202122000
413310330220030
5232104222312
621010352300
73153130053
oct764745014
9304082560
10131320332
1168143a00
1237b8b690
132128b750
141362539a
15b7deadc
hex7d3ca0c

131320332 has 144 divisors (see below), whose sum is σ = 403532640. Its totient is φ = 36685440.

The previous prime is 131320327. The next prime is 131320337. The reversal of 131320332 is 233023131.

131320332 is a `hidden beast` number, since 1 + 313 + 20 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (131320327) and next prime (131320337).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131320337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169498 + ... + 170270.

It is an arithmetic number, because the mean of its divisors is an integer number (2802310).

Almost surely, 2131320332 is an apocalyptic number.

131320332 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 131320332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201766320).

131320332 is an abundant number, since it is smaller than the sum of its proper divisors (272212308).

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

131320332 is a wasteful number, since it uses less digits than its factorization.

131320332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 131320332 is about 11459.5083664178. The cubic root of 131320332 is about 508.2889370406.

Adding to 131320332 its reverse (233023131), we get a palindrome (364343463).

The spelling of 131320332 in words is "one hundred thirty-one million, three hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 121 132 143 156 198 234 242 286 297 351 363 396 429 468 484 572 594 702 726 773 858 1089 1188 1287 1404 1452 1546 1573 1716 2178 2319 2574 3092 3146 3267 3861 4356 4638 4719 5148 6292 6534 6957 7722 8503 9276 9438 10049 13068 13914 14157 15444 17006 18876 20098 20871 25509 27828 28314 30147 34012 40196 41742 42471 51018 56628 60294 76527 83484 84942 90441 93533 102036 110539 120588 153054 169884 180882 187066 221078 229581 271323 280599 306108 331617 361764 374132 442156 459162 542646 561198 663234 841797 918324 994851 1085292 1122396 1215929 1326468 1683594 1989702 2431858 2525391 2984553 3367188 3647787 3979404 4863716 5050782 5969106 7295574 10101564 10943361 11938212 14591148 21886722 32830083 43773444 65660166 131320332