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113401402224 = 24311476417129
BaseRepresentation
bin110100110011101000…
…0000001001101110000
3101211201010202010001020
41221213100001031300
53324221224332344
6124032413335440
711123123005005
oct1514720011560
9354633663036
10113401402224
1144103153a30
1219b89a97580
13a9030c4046
1456bac378ac
152e3aa2a719
hex1a67401370

113401402224 has 160 divisors (see below), whose sum is σ = 326940503040. Its totient is φ = 33575731200.

The previous prime is 113401402217. The next prime is 113401402243. The reversal of 113401402224 is 422204104311.

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 = 113401402194 and 113401402203.

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, 15903492 + ... + 15910620.

It is an arithmetic number, because the mean of its divisors is an integer number (2043378144).

Almost surely, 2113401402224 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 113401402224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163470251520).

113401402224 is an abundant number, since it is smaller than the sum of its proper divisors (213539100816).

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

113401402224 is a wasteful number, since it uses less digits than its factorization.

113401402224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7839 (or 7833 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 113401402224 its reverse (422204104311), we get a palindrome (535605506535).

The spelling of 113401402224 in words is "one hundred thirteen billion, four hundred one million, four hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 188 264 282 376 517 528 564 641 752 1034 1128 1282 1551 1923 2068 2256 2564 3102 3846 4136 5128 6204 7051 7129 7692 8272 10256 12408 14102 14258 15384 21153 21387 24816 28204 28516 30127 30768 42306 42774 56408 57032 60254 78419 84612 85548 90381 112816 114064 120508 156838 169224 171096 180762 235257 241016 313676 331397 335063 338448 342192 361524 470514 482032 627352 662794 670126 723048 941028 994191 1005189 1254704 1325588 1340252 1446096 1882056 1988382 2010378 2651176 2680504 3685693 3764112 3976764 4020756 4569689 5302352 5361008 7371386 7953528 8041512 9139378 11057079 13709067 14742772 15907056 16083024 18278756 22114158 27418134 29485544 36557512 44228316 50266579 54836268 58971088 73115024 88456632 100533158 109672536 150799737 176913264 201066316 214775383 219345072 301599474 402132632 429550766 603198948 644326149 804265264 859101532 1206397896 1288652298 1718203064 2362529213 2412795792 2577304596 3436406128 4725058426 5154609192 7087587639 9450116852 10309218384 14175175278 18900233704 28350350556 37800467408 56700701112 113401402224