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113321007024 = 243531072111973
BaseRepresentation
bin110100110001001110…
…1010101011110110000
3101211111112110121120020
41221202131111132300
53324040134211044
6124020422243440
711121125444451
oct1514235253660
9354445417506
10113321007024
1144071832915
1219b66b86580
13a8bc555b14
1456b02ab128
152e33949a19
hex1a627557b0

113321007024 has 160 divisors (see below), whose sum is σ = 302637129984. Its totient is φ = 36522071040.

The previous prime is 113321007001. The next prime is 113321007031. The reversal of 113321007024 is 420700123311.

It is a happy number.

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 = 113321006985 and 113321007003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57434902 + ... + 57436874.

Almost surely, 2113321007024 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 113321007024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151318564992).

113321007024 is an abundant number, since it is smaller than the sum of its proper divisors (189316122960).

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

113321007024 is a wasteful number, since it uses less digits than its factorization.

113321007024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 113321007024 in words is "one hundred thirteen billion, three hundred twenty-one million, seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 107 159 211 212 214 318 321 422 424 428 633 636 642 844 848 856 1266 1272 1284 1688 1712 1973 2532 2544 2568 3376 3946 5064 5136 5671 5919 7892 10128 11183 11342 11838 15784 17013 22366 22577 22684 23676 31568 33549 34026 44732 45154 45368 47352 67098 67731 68052 89464 90308 90736 94704 104569 134196 135462 136104 178928 180616 209138 211111 268392 270924 272208 313707 361232 416303 418276 422222 536784 541848 627414 633333 832606 836552 844444 1083696 1196581 1248909 1254828 1266666 1665212 1673104 1688888 2393162 2497818 2509656 2533332 3330424 3377776 3589743 4786324 4995636 5019312 5066664 6660848 7179486 9572648 9991272 10133328 11188883 14358972 19145296 19982544 22064059 22377766 28717944 33566649 44128118 44544421 44755532 57435888 66192177 67133298 88256236 89088842 89511064 132384354 133633263 134266596 176512472 178177684 179022128 264768708 267266526 268533192 353024944 356355368 529537416 534533052 537066384 712710736 1059074832 1069066104 2138132208 2360854313 4721708626 7082562939 9443417252 14165125878 18886834504 28330251756 37773669008 56660503512 113321007024