Search a number
-
+
41203130213421 = 321123110711406617
BaseRepresentation
bin10010101111001010110011…
…11100001010010000101101
312101212222110222200102212100
421113211121330022100231
520400033002313312141
6223344242352125313
711451553656112311
oct1127453174122055
9171788428612770
1041203130213421
1112146170929900
124755538b36839
1319cb591528657
14a26356623b41
154b6bc461d0b6
hex257959f0a42d

41203130213421 has 72 divisors (see below), whose sum is σ = 68159378956032. Its totient is φ = 23940205660800.

The previous prime is 41203130213387. The next prime is 41203130213423. The reversal of 41203130213421 is 12431203130214.

41203130213421 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 313 + 0 + 2 + 1 + 342 + 1 = 666.

41203130213421 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 41203130213421 - 210 = 41203130212397 is a prime.

It is a super-2 number, since 2×412031302134212 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41203130213423) 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 71 ways as a sum of consecutive naturals, for example, 2091096 + ... + 9315521.

It is an arithmetic number, because the mean of its divisors is an integer number (946658041056).

Almost surely, 241203130213421 is an apocalyptic number.

It is an amenable number.

41203130213421 is a deficient number, since it is larger than the sum of its proper divisors (26956248742611).

41203130213421 is a wasteful number, since it uses less digits than its factorization.

41203130213421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11406783 (or 11406769 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 41203130213421 its reverse (12431203130214), we get a palindrome (53634333343635).

The spelling of 41203130213421 in words is "forty-one trillion, two hundred three billion, one hundred thirty million, two hundred thirteen thousand, four hundred twenty-one".

Divisors: 1 3 9 11 31 33 93 99 107 121 279 321 341 363 963 1023 1089 1177 3069 3317 3531 3751 9951 10593 11253 12947 29853 33759 36487 38841 109461 116523 328383 401357 1204071 3612213 11406617 34219851 102659553 125472787 353605127 376418361 1060815381 1129255083 1220508019 1380200657 3182446143 3661524057 3889656397 4140601971 10984572171 11668969191 12421805913 13425588209 35006907573 37835748589 40276764627 42786220367 113507245767 120830293881 128358661101 147681470299 340521737301 385075983303 416193234479 443044410897 1248579703437 1329133232691 3745739110311 4578125579269 13734376737807 41203130213421