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113220113424 = 243111790713907
BaseRepresentation
bin110100101110001110…
…0011101010000010000
3101211020111121200120020
41221130130131100100
53323333322112144
6124002415543440
711115462041145
oct1513434352020
9354214550506
10113220113424
114401a890a80
1219b3922ab80
13a8a468b672
1456a0b263cc
152e29b6a419
hex1a5c71d410

113220113424 has 160 divisors (see below), whose sum is σ = 338240779776. Its totient is φ = 32253020160.

The previous prime is 113220113411. The next prime is 113220113431. The reversal of 113220113424 is 424311022311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 113220113394 and 113220113403.

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, 8134279 + ... + 8148185.

Almost surely, 2113220113424 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 113220113424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169120389888).

113220113424 is an abundant number, since it is smaller than the sum of its proper divisors (225020666352).

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

113220113424 is a wasteful number, since it uses less digits than its factorization.

113220113424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14853 (or 14847 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 113220113424 its reverse (424311022311), we get a palindrome (537531135735).

The spelling of 113220113424 in words is "one hundred thirteen billion, two hundred twenty million, one hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 907 1122 1496 1814 2244 2721 2992 3628 4488 5442 7256 8976 9977 10884 13907 14512 15419 19954 21768 27814 29931 30838 39908 41721 43536 46257 55628 59862 61676 79816 83442 92514 111256 119724 123352 152977 159632 166884 169609 185028 222512 236419 239448 246704 305954 333768 339218 370056 458931 472838 478896 508827 611908 667536 678436 709257 740112 917862 945676 1017654 1223816 1356872 1418514 1835724 1891352 2035308 2447632 2600609 2713744 2837028 3671448 3782704 4070616 5201218 5674056 7342896 7801827 8141232 10402436 11348112 12613649 15603654 20804872 25227298 31207308 37840947 41609744 50454596 62414616 75681894 100909192 124829232 138750139 151363788 201818384 214432033 277500278 302727576 416250417 428864066 555000556 605455152 643296099 832500834 857728132 1110001112 1286592198 1665001668 1715456264 2220002224 2358752363 2573184396 3330003336 3430912528 4717504726 5146368792 6660006672 7076257089 9435009452 10292737584 14152514178 18870018904 28305028356 37740037808 56610056712 113220113424