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11421312333431 = 711131011392712999
BaseRepresentation
bin1010011000110011101101…
…0000111011011001110111
31111102212101220010202120212
42212030323100323121313
52444111321424132211
640142513425020035
72256106524010250
oct246147320733167
944385356122525
1011421312333431
11370382a071910
12134563a48461b
1364b0432a2980
142b6b1a031b27
1514c16414838b
hexa633b43b677

11421312333431 has 128 divisors (see below), whose sum is σ = 15660933120000. Its totient is φ = 8042794560000.

The previous prime is 11421312333419. The next prime is 11421312333443. The reversal of 11421312333431 is 13433321312411.

It is an interprime number because it is at equal distance from previous prime (11421312333419) and next prime (11421312333443).

It is a cyclic number.

It is not a de Polignac number, because 11421312333431 - 214 = 11421312317047 is a prime.

It is a super-2 number, since 2×114213123334312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11421312333401) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3808372070 + ... + 3808375068.

It is an arithmetic number, because the mean of its divisors is an integer number (122351040000).

Almost surely, 211421312333431 is an apocalyptic number.

11421312333431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11421312333431 is a deficient number, since it is larger than the sum of its proper divisors (4239620786569).

11421312333431 is a wasteful number, since it uses less digits than its factorization.

11421312333431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541.

The product of its digits is 15552, while the sum is 32.

Adding to 11421312333431 its reverse (13433321312411), we get a palindrome (24854633645842).

The spelling of 11421312333431 in words is "eleven trillion, four hundred twenty-one billion, three hundred twelve million, three hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 7 11 13 77 91 101 139 143 271 707 973 1001 1111 1313 1529 1807 1897 2981 2999 3523 7777 9191 10703 12649 14039 14443 19877 20867 20993 24661 27371 32989 37669 38753 38987 98273 101101 139139 154429 182507 191597 230923 263683 271271 272909 301081 302899 355823 414359 416861 428857 489697 812729 1081003 1277549 2007577 2107567 2120293 2490761 2900513 2918027 3001999 3331889 3427879 3804569 3914053 3937687 4585471 5386667 5419193 5689103 8940019 10565477 14053039 23323223 26631983 27398371 27563809 32098297 37706669 37934351 41850259 42102961 43314557 49459397 59611123 62580133 73958339 82085629 112969331 116220247 292951813 294720727 303201899 346215779 417277861 463132571 544053367 547338493 574599403 790785317 813541729 902941919 1067113177 1242662641 1468601303 3241927997 3808373569 3831369451 6020723423 6320593433 7469792239 8698638487 10280209121 11409902431 11738244947 16154614333 42145063961 79869317017 82167714629 113082300331 125508926741 148328731603 878562487187 1038301121221 1631616047633 11421312333431