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141303303141 = 371113371271731
BaseRepresentation
bin1000001110011001010…
…1010100101111100101
3111111201200002112112220
42003212111110233211
54303342121200031
6144525220102553
713131425154630
oct2034625245745
9444650075486
10141303303141
1154a21038080
1223476234a59
131042b8b55a0
146ba676cc17
153a20365596
hex20e6554be5

141303303141 has 64 divisors (see below), whose sum is σ = 259799586816. Its totient is φ = 65926483200.

The previous prime is 141303303137. The next prime is 141303303157.

141303303141 is nontrivially palindromic in base 10.

141303303141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141303303141 - 22 = 141303303137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141303303191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 524755 + ... + 746976.

It is an arithmetic number, because the mean of its divisors is an integer number (4059368544).

Almost surely, 2141303303141 is an apocalyptic number.

141303303141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141303303141 is a deficient number, since it is larger than the sum of its proper divisors (118496283675).

141303303141 is a wasteful number, since it uses less digits than its factorization.

141303303141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271802.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 141303 and 303141, that added together give a palindrome (444444).

The spelling of 141303303141 in words is "one hundred forty-one billion, three hundred three million, three hundred three thousand, one hundred forty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 1271731 3815193 8902117 13989041 16532503 26706351 41967123 47054047 49597509 97923287 115727521 141162141 181857533 293769861 329378329 347182563 517594517 545572599 611702611 988134987 1273002731 1552783551 1835107833 3623161619 3819008193 4281918277 6728728721 10869484857 12845754831 20186186163 47101101047 141303303141