Search a number
-
+
104211322131 = 37471571674027
BaseRepresentation
bin110000100001101111…
…0101001010100010011
3100221222122222200011110
41201003132221110103
53201411044302011
6115512442144403
710346311423410
oct1410336512423
9327878880143
10104211322131
1140217635814
12182441b2103
139a9a150a27
1450884a3107
152a9dd03ba6
hex18437a9513

104211322131 has 64 divisors (see below), whose sum is σ = 164227940352. Its totient is φ = 57550027392.

The previous prime is 104211322129. The next prime is 104211322147. The reversal of 104211322131 is 131223112401.

It is not a de Polignac number, because 104211322131 - 21 = 104211322129 is a prime.

It is a super-2 number, since 2×1042113221312 (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 = 104211322098 and 104211322107.

It is not an unprimeable number, because it can be changed into a prime (104211322121) 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 63 ways as a sum of consecutive naturals, for example, 25876140 + ... + 25880166.

It is an arithmetic number, because the mean of its divisors is an integer number (2566061568).

Almost surely, 2104211322131 is an apocalyptic number.

104211322131 is a deficient number, since it is larger than the sum of its proper divisors (60016618221).

104211322131 is a wasteful number, since it uses less digits than its factorization.

104211322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 104211322131 its reverse (131223112401), we get a palindrome (235434434532).

The spelling of 104211322131 in words is "one hundred four billion, two hundred eleven million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 47 141 157 167 329 471 501 987 1099 1169 3297 3507 4027 7379 7849 12081 22137 23547 26219 28189 51653 54943 78657 84567 154959 164829 183533 189269 550599 567807 632239 672509 1232293 1324883 1896717 2017527 3696879 3974649 4425673 4707563 8626051 13277019 14122689 25878153 29715233 31607923 89145699 94823769 105583913 208006631 221255461 316751739 624019893 663766383 739087391 2217262173 4962443911 14887331733 34737107377 104211322131