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143141101131 = 3729438961417
BaseRepresentation
bin1000010101001111011…
…1111101111001001011
3111200110202020100110010
42011103313331321023
54321123110214011
6145431430323003
713225112166360
oct2052367757113
9450422210403
10143141101131
1155784468996
12238a97b9463
131066257ab12
146cdc884467
153acb8881a6
hex2153dfde4b

143141101131 has 64 divisors (see below), whose sum is σ = 233486668800. Its totient is φ = 76269828096.

The previous prime is 143141101127. The next prime is 143141101253. The reversal of 143141101131 is 131101141341.

It is not a de Polignac number, because 143141101131 - 22 = 143141101127 is a prime.

It is a super-2 number, since 2×1431411011312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 143141101098 and 143141101107.

It is not an unprimeable number, because it can be changed into a prime (143141101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2299935 + ... + 2361351.

It is an arithmetic number, because the mean of its divisors is an integer number (3648229200).

Almost surely, 2143141101131 is an apocalyptic number.

143141101131 is a deficient number, since it is larger than the sum of its proper divisors (90345567669).

143141101131 is a wasteful number, since it uses less digits than its factorization.

143141101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61588.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 143141101131 its reverse (131101141341), we get a palindrome (274242242472).

The spelling of 143141101131 in words is "one hundred forty-three billion, one hundred forty-one million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 3 7 21 29 43 87 89 129 203 267 301 609 623 903 1247 1869 2581 3741 3827 7743 8729 11481 18067 26187 26789 54201 61417 80367 110983 184251 332949 429919 776881 1289757 1781093 2330643 2640931 5343279 5466113 7922793 12467651 16398339 18486517 37402953 38262791 55459551 76586999 114788373 158517277 229760997 235042859 475551831 536108993 705128577 1109620939 1608326979 1645300013 3328862817 4935900039 6816242911 20448728733 47713700377 143141101131