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10132302141 = 32131722910333
BaseRepresentation
bin10010110111110111…
…01010100100111101
3222011010201021112200
421123323222210331
5131222332132031
64353230222113
7506042101323
oct113373524475
928133637480
1010132302141
11432a469625
121b69354939
13c56230a70
146c1961d13
153e47e38e6
hex25beea93d

10132302141 has 72 divisors (see below), whose sum is σ = 17322057480. Its totient is φ = 5665572864.

The previous prime is 10132302139. The next prime is 10132302143. The reversal of 10132302141 is 14120323101.

10132302141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10132302139) and next prime (10132302143).

It can be written as a sum of positive squares in 12 ways, for example, as 246176100 + 9886126041 = 15690^2 + 99429^2 .

It is not a de Polignac number, because 10132302141 - 21 = 10132302139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132302143) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 975411 + ... + 985743.

Almost surely, 210132302141 is an apocalyptic number.

It is an amenable number.

10132302141 is a deficient number, since it is larger than the sum of its proper divisors (7189755339).

10132302141 is a wasteful number, since it uses less digits than its factorization.

10132302141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415 (or 10395 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10132302141 its reverse (14120323101), we get a palindrome (24252625242).

The spelling of 10132302141 in words is "ten billion, one hundred thirty-two million, three hundred two thousand, one hundred forty-one".

Divisors: 1 3 9 13 17 29 39 51 87 117 153 221 261 289 377 493 663 867 1131 1479 1989 2601 3393 3757 4437 6409 8381 10333 11271 19227 25143 30999 33813 57681 75429 92997 108953 134329 175661 299657 326859 402987 526983 898971 980577 1208961 1580949 2283593 2696913 2986237 3895541 5094169 6850779 8958711 11686623 15282507 20552337 26876133 35059869 38821081 45847521 66224197 86600873 116463243 198672591 259802619 349389729 596017773 779407857 1125811349 3377434047 10132302141