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12431211213421 = 7211136139773259
BaseRepresentation
bin1011010011100101110111…
…1011011011001001101101
31122000102010111001101121201
42310321131323123021231
53112133110032312141
642234453010525501
72422061000602600
oct264713573331155
948012114041551
1012431211213421
113a63057715860
121489303596891
136c2348312440
1430d960dd8337
1516856e946031
hexb4e5dedb26d

12431211213421 has 96 divisors (see below), whose sum is σ = 17311145765760. Its totient is φ = 8772674803200.

The previous prime is 12431211213413. The next prime is 12431211213503.

12431211213421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12431211213421 - 23 = 12431211213413 is a prime.

It is a super-2 number, since 2×124312112134212 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12431211213421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12431211217421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169651890 + ... + 169725148.

It is an arithmetic number, because the mean of its divisors is an integer number (180324435060).

Almost surely, 212431211213421 is an apocalyptic number.

12431211213421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12431211213421 is a deficient number, since it is larger than the sum of its proper divisors (4879934552339).

12431211213421 is a wasteful number, since it uses less digits than its factorization.

12431211213421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73755 (or 73748 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 1243121 and 1213421, that added together give a palindrome (2456542).

The spelling of 12431211213421 in words is "twelve trillion, four hundred thirty-one billion, two hundred eleven million, two hundred thirteen thousand, four hundred twenty-one".

Divisors: 1 7 11 13 49 61 77 91 143 397 427 539 637 671 793 1001 2779 2989 4367 4697 5161 5551 7007 8723 19453 24217 30569 32879 36127 38857 56771 61061 73259 169519 213983 252889 266387 314821 397397 427427 512813 805849 952367 1186633 1864709 2203747 2781779 3463031 3589691 4468799 5640943 6666569 10476037 13052963 15426229 24241217 29083823 31281593 39486601 46665983 49156789 58094387 73332259 169688519 203586761 218971151 319922053 344097523 378089699 406660709 513325813 639038257 1425107327 1774113203 2239454371 2408682661 2646627893 2846624963 4158986689 4473267799 12418792421 15676180597 18526395251 19515245233 23063471639 29112906823 31312874593 86931546947 136606716631 161444301473 203790347761 253698188029 956247016417 1130110110311 1775887316203 12431211213421