Search a number
-
+
113402053104 = 243231071277559
BaseRepresentation
bin110100110011101001…
…0100000000111110000
3101211201011222011212220
41221213102200013300
53324221411144404
6124032435321040
711123131355424
oct1514722400760
9354634864786
10113402053104
1144103558a4a
1219b8a150180
13a903291392
1456bad66b84
152e3ab084d9
hex1a674a01f0

113402053104 has 160 divisors (see below), whose sum is σ = 311020093440. Its totient is φ = 35532516096.

The previous prime is 113402053099. The next prime is 113402053213. The reversal of 113402053104 is 401350204311.

It is a happy number.

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

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, 14998477 + ... + 15006035.

It is an arithmetic number, because the mean of its divisors is an integer number (1943875584).

Almost surely, 2113402053104 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 113402053104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155510046720).

113402053104 is an abundant number, since it is smaller than the sum of its proper divisors (197618040336).

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

113402053104 is a wasteful number, since it uses less digits than its factorization.

113402053104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7827 (or 7821 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 113402053104 its reverse (401350204311), we get a palindrome (514752257415).

The spelling of 113402053104 in words is "one hundred thirteen billion, four hundred two million, fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 107 127 138 184 214 254 276 321 368 381 428 508 552 642 762 856 1016 1104 1284 1524 1712 2032 2461 2568 2921 3048 4922 5136 5842 6096 7383 7559 8763 9844 11684 13589 14766 15118 17526 19688 22677 23368 27178 29532 30236 35052 39376 40767 45354 46736 54356 59064 60472 70104 81534 90708 108712 118128 120944 140208 163068 173857 181416 217424 312547 326136 347714 362832 521571 625094 652272 695428 808813 937641 959993 1043142 1250188 1390856 1617626 1875282 1919986 2086284 2426439 2500376 2781712 2879979 3235252 3750564 3839972 4172568 4852878 5000752 5759958 6470504 7501128 7679944 8345136 9705756 11519916 12941008 15002256 15359888 18602699 19411512 22079839 23039832 37205398 38823024 44159678 46079664 55808097 66239517 74410796 88319356 102719251 111616194 132479034 148821592 176638712 205438502 223232388 264958068 297643184 308157753 353277424 410877004 446464776 529916136 616315506 821754008 892929552 1059832272 1232631012 1643508016 2362542773 2465262024 4725085546 4930524048 7087628319 9450171092 14175256638 18900342184 28350513276 37800684368 56701026552 113402053104