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141131314233 = 327131924137633
BaseRepresentation
bin1000001101110000010…
…1001111010000111001
3111111021200110121010100
42003130011033100321
54303014104023413
6144500153510013
713124236243350
oct2033405172071
9444250417110
10141131314233
1154942a47288
1223428712309
1310402087bc0
146b8b99c997
153a101e0a73
hex20dc14f439

141131314233 has 96 divisors (see below), whose sum is σ = 265208303360. Its totient is φ = 70230343680.

The previous prime is 141131314223. The next prime is 141131314243. The reversal of 141131314233 is 332413131141.

141131314233 is a `hidden beast` number, since 1 + 4 + 113 + 1 + 314 + 233 = 666.

It is an interprime number because it is at equal distance from previous prime (141131314223) and next prime (141131314243).

It is not a de Polignac number, because 141131314233 - 25 = 141131314201 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 141131314197 and 141131314206.

It is not an unprimeable number, because it can be changed into a prime (141131314213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3731385 + ... + 3769017.

Almost surely, 2141131314233 is an apocalyptic number.

141131314233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

141131314233 is a deficient number, since it is larger than the sum of its proper divisors (124076989127).

141131314233 is a wasteful number, since it uses less digits than its factorization.

141131314233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37919 (or 37916 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 141131314233 its reverse (332413131141), we get a palindrome (473544445374).

The spelling of 141131314233 in words is "one hundred forty-one billion, one hundred thirty-one million, three hundred fourteen thousand, two hundred thirty-three".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 133 171 241 247 273 399 723 741 819 1197 1687 1729 2169 2223 3133 4579 5061 5187 9399 13737 15183 15561 21931 28197 32053 37633 41211 59527 65793 96159 112899 178581 197379 263431 288477 338697 416689 489229 535743 715027 790293 1250067 1467687 2145081 2370879 3424603 3750201 4403061 5005189 6435243 9069553 9295351 10273809 15015567 27208659 27886053 30821427 45046701 63486871 65067457 81625977 83658159 117904189 172321507 190460613 195202371 353712567 516964521 571381839 585607113 825329323 1061137701 1206250549 1550893563 2240179591 2475987969 3618751647 6720538773 7427963907 10856254941 15681257137 20161616319 47043771411 141131314233