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31241454330 = 235191014211289
BaseRepresentation
bin11101000110001000…
…101100001011111010
32222122021022022120010
4131012020230023322
51002440303014310
622204020442350
72154122660142
oct350610541372
988567268503
1031241454330
1112281a94049
12607a8493b6
132c3b642068
141725289922
15c2cb02320
hex74622c2fa

31241454330 has 128 divisors (see below), whose sum is σ = 79958534400. Its totient is φ = 7789824000.

The previous prime is 31241454317. The next prime is 31241454379. The reversal of 31241454330 is 3345414213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24236326 + ... + 24237614.

It is an arithmetic number, because the mean of its divisors is an integer number (624676050).

Almost surely, 231241454330 is an apocalyptic number.

31241454330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31241454330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39979267200).

31241454330 is an abundant number, since it is smaller than the sum of its proper divisors (48717080070).

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

31241454330 is a wasteful number, since it uses less digits than its factorization.

31241454330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 31241454330 its reverse (3345414213), we get a palindrome (34586868543).

The spelling of 31241454330 in words is "thirty-one billion, two hundred forty-one million, four hundred fifty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 101 114 190 202 285 303 421 505 570 606 842 1010 1263 1289 1515 1919 2105 2526 2578 3030 3838 3867 4210 5757 6315 6445 7734 7999 9595 11514 12630 12890 15998 19190 19335 23997 24491 28785 38670 39995 42521 47994 48982 57570 73473 79990 85042 119985 122455 127563 130189 146946 212605 239970 244910 255126 260378 367365 390567 425210 542669 637815 650945 734730 781134 807899 1085338 1275630 1301890 1615798 1628007 1952835 2423697 2473591 2713345 3256014 3905670 4039495 4847394 4947182 5426690 7420773 8078990 8140035 10310711 12118485 12367955 14841546 16280070 20621422 24236970 24735910 30932133 37103865 51553555 54809569 61864266 74207730 103107110 109619138 154660665 164428707 274047845 309321330 328857414 548095690 822143535 1041381811 1644287070 2082763622 3124145433 5206909055 6248290866 10413818110 15620727165 31241454330