Search a number
-
+
1113312302130 = 235747231148809
BaseRepresentation
bin10000001100110110100…
…101011001010000110010
310221102122122111210011210
4100030312211121100302
5121220030422132010
62211240522220550
7143301626300010
oct20146645312062
93842578453153
101113312302130
1139a175852686
1215b926054756
1380ca5a94422
143bc554c98b0
151de5e541b20
hex10336959432

1113312302130 has 128 divisors (see below), whose sum is σ = 3120041410560. Its totient is φ = 248944227840.

The previous prime is 1113312302093. The next prime is 1113312302191. The reversal of 1113312302130 is 312032133111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1113312302097 and 1113312302106.

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, 22785166 + ... + 22833974.

It is an arithmetic number, because the mean of its divisors is an integer number (24375323520).

Almost surely, 21113312302130 is an apocalyptic number.

1113312302130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113312302130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560020705280).

1113312302130 is an abundant number, since it is smaller than the sum of its proper divisors (2006729108430).

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

1113312302130 is a wasteful number, since it uses less digits than its factorization.

1113312302130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51184.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1113312302130 its reverse (312032133111), we get a palindrome (1425344435241).

The spelling of 1113312302130 in words is "one trillion, one hundred thirteen billion, three hundred twelve million, three hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 987 1410 1645 1974 2311 3290 4622 4935 6933 9870 11555 13866 16177 23110 32354 34665 48531 48809 69330 80885 97062 97618 108617 146427 161770 217234 242655 244045 292854 325851 341663 485310 488090 543085 651702 683326 732135 760319 1024989 1086170 1464270 1520638 1629255 1708315 2049978 2280957 2294023 3258510 3416630 3801595 4561914 4588046 5124945 6882069 7603190 10249890 11404785 11470115 13764138 16058161 22809570 22940230 32116322 34410345 48174483 68820690 80290805 96348966 112797599 160581610 225595198 240872415 338392797 481744830 563987995 676785594 789583193 1127975990 1579166386 1691963985 2368749579 3383927970 3947915965 4737499158 5301487153 7895831930 10602974306 11843747895 15904461459 23687495790 26507435765 31808922918 37110410071 53014871530 74220820142 79522307295 111331230213 159044614590 185552050355 222662460426 371104100710 556656151065 1113312302130