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113223134424 = 233412712811511
BaseRepresentation
bin110100101110010011…
…1111110110011011000
3101211020201022011121010
41221130213332303120
53323340110300144
6124003004413520
711115526522551
oct1513447766330
9354221264533
10113223134424
1144021564774
1219b3a2472a0
13a8a51a873a
1456a12b1328
152e2a0655b9
hex1a5c9fecd8

113223134424 has 128 divisors (see below), whose sum is σ = 292260648960. Its totient is φ = 36529920000.

The previous prime is 113223134371. The next prime is 113223134503. The reversal of 113223134424 is 424431322311.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 113223134391 and 113223134400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74931829 + ... + 74933339.

It is an arithmetic number, because the mean of its divisors is an integer number (2283286320).

Almost surely, 2113223134424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113223134424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146130324480).

113223134424 is an abundant number, since it is smaller than the sum of its proper divisors (179037514536).

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

113223134424 is a wasteful number, since it uses less digits than its factorization.

113223134424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2109 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 113223134424 its reverse (424431322311), we get a palindrome (537654456735).

The spelling of 113223134424 in words is "one hundred thirteen billion, two hundred twenty-three million, one hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 271 281 328 492 542 562 813 843 984 1084 1124 1511 1626 1686 2168 2248 3022 3252 3372 4533 6044 6504 6744 9066 11111 11521 12088 18132 22222 23042 33333 34563 36264 44444 46084 61951 66666 69126 76151 88888 92168 123902 133332 138252 152302 185853 228453 247804 266664 276504 304604 371706 409481 424591 456906 495608 609208 743412 818962 849182 913812 1228443 1273773 1486824 1637924 1698364 1827624 2456886 2547546 3122191 3275848 3396728 4913772 5095092 6244382 9366573 9827544 10190184 12488764 16788721 17408231 18733146 24977528 33577442 34816462 37466292 50366163 52224693 67154884 69632924 74932584 100732326 104449386 115064161 134309768 139265848 201464652 208898772 230128322 345192483 402929304 417797544 460256644 690384966 920513288 1380769932 2761539864 4717630601 9435261202 14152891803 18870522404 28305783606 37741044808 56611567212 113223134424