Search a number
-
+
32112021123 = 32713175343517
BaseRepresentation
bin11101111010000001…
…101000111010000011
310001212221102200200200
4131322001220322003
51011231134133443
622430240020243
72214523450560
oct357201507203
9101787380620
1032112021123
1112689442836
126282301683
133049b01740
1417a8b43867
15c7e267dd3
hex77a068e83

32112021123 has 96 divisors (see below), whose sum is σ = 61588066176. Its totient is φ = 15640694784.

The previous prime is 32112021121. The next prime is 32112021169.

32112021123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32112021123 - 21 = 32112021121 is a prime.

It is a super-4 number, since 4×321120211234 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 32112021096 and 32112021105.

It is not an unprimeable number, because it can be changed into a prime (32112021121) 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 95 ways as a sum of consecutive naturals, for example, 716161 + ... + 759677.

It is an arithmetic number, because the mean of its divisors is an integer number (641542356).

Almost surely, 232112021123 is an apocalyptic number.

32112021123 is a deficient number, since it is larger than the sum of its proper divisors (29476045053).

32112021123 is a wasteful number, since it uses less digits than its factorization.

32112021123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43613 (or 43610 counting only the distinct ones).

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

It can be divided in two parts, 321120 and 21123, that added together give a palindrome (342243).

The spelling of 32112021123 in words is "thirty-two billion, one hundred twelve million, twenty-one thousand, one hundred twenty-three".

Divisors: 1 3 7 9 13 17 21 39 51 53 63 91 117 119 153 159 221 273 357 371 477 663 689 819 901 1071 1113 1547 1989 2067 2703 3339 4641 4823 6201 6307 8109 11713 13923 14469 18921 35139 43407 43517 56763 81991 105417 130551 245973 304619 391653 565721 737919 739789 913857 1697163 2219367 2306401 2741571 3960047 5091489 5178523 6658101 6919203 9617257 11880141 15535569 16144807 20757609 28851771 29983213 35640423 39208817 46606707 48434421 67320799 86555313 89949639 117626451 145303263 201962397 209882491 269848917 274461719 352879353 509714621 605887191 629647473 823385157 1529143863 1888942419 2470155471 3568002347 4587431589 10704007041 32112021123