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231122435412 = 2231121376191877
BaseRepresentation
bin1101011100111111111…
…0000111110101010100
3211002120022122012210110
43113033332013311110
512241314320413122
6254102015523020
722461300200211
oct3271776076524
9732508565713
10231122435412
118a022653600
1238962529470
1318a440bba2b
14b287628b08
15602a8b690c
hex35cff87d54

231122435412 has 144 divisors (see below), whose sum is σ = 598378576320. Its totient is φ = 69376581120.

The previous prime is 231122435389. The next prime is 231122435429. The reversal of 231122435412 is 214534221132.

It is a happy number.

It is a super-2 number, since 2×2311224354122 (a number of 24 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 231122435412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123133018 + ... + 123134894.

It is an arithmetic number, because the mean of its divisors is an integer number (4155406780).

Almost surely, 2231122435412 is an apocalyptic number.

231122435412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231122435412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299189288160).

231122435412 is an abundant number, since it is smaller than the sum of its proper divisors (367256140908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231122435412 is a wasteful number, since it uses less digits than its factorization.

231122435412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2649 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 231122435412 its reverse (214534221132), we get a palindrome (445656656544).

The spelling of 231122435412 in words is "two hundred thirty-one billion, one hundred twenty-two million, four hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 137 242 274 363 411 484 548 619 726 822 1238 1452 1507 1644 1857 1877 2476 3014 3714 3754 4521 5631 6028 6809 7428 7508 9042 11262 13618 16577 18084 20427 20647 22524 27236 33154 40854 41294 49731 61941 66308 74899 81708 82588 84803 99462 123882 149798 169606 198924 224697 227117 247764 254409 257149 299596 339212 449394 454234 508818 514298 681351 771447 898788 908468 932833 1017636 1028596 1161863 1362702 1542894 1865666 2323726 2725404 2798499 2828639 3085788 3485589 3731332 4647452 5596998 5657278 6971178 8485917 10261163 11193996 11314556 12780493 13942356 16971834 20522326 25560986 30783489 31115029 33943668 38341479 41044652 51121972 61566978 62230058 76682958 93345087 123133956 124460116 140585423 153365916 159175231 186690174 281170846 318350462 373380348 421756269 477525693 562341692 636700924 843512538 955051386 1687025076 1750927541 1910102772 3501855082 5252782623 7003710164 10505565246 19260202951 21011130492 38520405902 57780608853 77040811804 115561217706 231122435412