Search a number
-
+
30101444310 = 2357231165843
BaseRepresentation
bin11100000010001011…
…111001011011010110
32212200211011210210210
4130002023321123112
5443121432204220
621454534230250
72113641024600
oct340213713326
985624153723
1030101444310
1111847531703
125a00ab5386
132ab93c3112
141657ad4170
15bb29b66e0
hex7022f96d6

30101444310 has 96 divisors (see below), whose sum is σ = 84309818112. Its totient is φ = 6858102720.

The previous prime is 30101444297. The next prime is 30101444333. The reversal of 30101444310 is 1344410103.

It is a super-2 number, since 2×301014443102 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 424249 + ... + 490091.

It is an arithmetic number, because the mean of its divisors is an integer number (878227272).

Almost surely, 230101444310 is an apocalyptic number.

30101444310 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 30101444310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42154909056).

30101444310 is an abundant number, since it is smaller than the sum of its proper divisors (54208373802).

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

30101444310 is a wasteful number, since it uses less digits than its factorization.

30101444310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66178 (or 66171 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 30101444310 its reverse (1344410103), we get a palindrome (31445854413).

The spelling of 30101444310 in words is "thirty billion, one hundred one million, four hundred forty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 311 490 622 735 933 1470 1555 1866 2177 3110 4354 4665 6531 9330 10885 13062 15239 21770 30478 32655 45717 65310 65843 76195 91434 131686 152390 197529 228585 329215 395058 457170 460901 658430 921802 987645 1382703 1975290 2304505 2765406 3226307 4609010 6452614 6913515 9678921 13827030 16131535 19357842 20477173 32263070 40954346 48394605 61431519 96789210 102385865 122863038 143340211 204771730 286680422 307157595 430020633 614315190 716701055 860041266 1003381477 1433402110 2006762954 2150103165 3010144431 4300206330 5016907385 6020288862 10033814770 15050722155 30101444310