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113553452422120 = 23517616709408041
BaseRepresentation
bin11001110100011010111001…
…001100011101001111101000
3112220001121022100012011020111
4121310122321030131033220
5104340424432310001440
61041301422541304104
732626652256656554
oct3164327114351750
9486047270164214
10113553452422120
11331aa826618237
121089b505565034
134b4907703a669
1420080330c2864
15d1dbbc58e4ea
hex6746b931d3e8

113553452422120 has 128 divisors (see below), whose sum is σ = 275000885200800. Its totient is φ = 42042352435200.

The previous prime is 113553452422087. The next prime is 113553452422129. The reversal of 113553452422120 is 21224254355311.

It can be written as a sum of positive squares in 16 ways, for example, as 59841879876 + 113493610542244 = 244626^2 + 10653338^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (113553452422129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278085300 + ... + 278493340.

Almost surely, 2113553452422120 is an apocalyptic number.

113553452422120 is a gapful number since it is divisible by the number (10) 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 113553452422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137500442600400).

113553452422120 is an abundant number, since it is smaller than the sum of its proper divisors (161447432778680).

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

113553452422120 is a wasteful number, since it uses less digits than its factorization.

113553452422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414839 (or 414835 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 113553452422120 in words is "one hundred thirteen trillion, five hundred fifty-three billion, four hundred fifty-two million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 1037 1220 2074 2440 4148 5185 6709 8296 10370 13418 20740 26836 33545 41480 53672 67090 114053 134180 228106 268360 408041 409249 456212 570265 816082 818498 912424 1140530 1632164 1636996 2040205 2046245 2281060 3264328 3273992 4080410 4092490 4562120 6936697 6957233 8160820 8184980 13873394 13914466 16321640 16369960 24890501 27746788 27828932 34683485 34786165 49781002 55493576 55657864 69366970 69572330 99562004 124452505 138733940 139144660 199124008 248905010 277467880 278289320 423138517 497810020 846277034 995620040 1692554068 2115692585 2737547069 3385108136 4231385170 5475094138 8462770340 10950188276 13687735345 16925540680 21900376552 27375470690 46538300173 54750941380 93076600346 109501882760 166990371209 186153200692 232691500865 333980742418 372306401384 465383001730 667961484836 834951856045 930766003460 1335922969672 1669903712090 1861532006920 2838836310553 3339807424180 5677672621106 6679614848360 11355345242212 14194181552765 22710690484424 28388363105530 56776726211060 113553452422120