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52120012431 = 31923833171511
BaseRepresentation
bin110000100010100110…
…000100011010001111
311222112022222221221210
4300202212010122033
51323220210344211
635535452425503
73523403540004
oct604246043217
9158468887853
1052120012431
112011642a843
12a126a78293
134bb8046856
1427461098ab
151550a619a6
hexc2298468f

52120012431 has 64 divisors (see below), whose sum is σ = 77546004480. Its totient is φ = 30988679040.

The previous prime is 52120012391. The next prime is 52120012463. The reversal of 52120012431 is 13421002125.

It is not a de Polignac number, because 52120012431 - 29 = 52120011919 is a prime.

It is a super-2 number, since 2×521200124312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52120012398 and 52120012407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52120012331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34492966 + ... + 34494476.

It is an arithmetic number, because the mean of its divisors is an integer number (1211656320).

Almost surely, 252120012431 is an apocalyptic number.

52120012431 is a deficient number, since it is larger than the sum of its proper divisors (25425992049).

52120012431 is a wasteful number, since it uses less digits than its factorization.

52120012431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 52120012431 its reverse (13421002125), we get a palindrome (65541014556).

The spelling of 52120012431 in words is "fifty-two billion, one hundred twenty million, twelve thousand, four hundred thirty-one".

Divisors: 1 3 19 23 57 69 83 249 317 437 951 1311 1511 1577 1909 4533 4731 5727 6023 7291 18069 21873 26311 28709 34753 36271 78933 86127 104259 108813 125413 138529 376239 415587 478987 499909 605153 660307 1436961 1499727 1815459 1980921 2382847 2884499 7148541 8653497 9100753 11016701 11497907 27302259 33050103 34493721 39755921 54805481 119267763 164416443 209317319 627951957 755362499 914386183 2266087497 2743158549 17373337477 52120012431