Search a number
-
+
30310102350 = 23252117186243
BaseRepresentation
bin11100001110100111…
…110111010101001110
32220020100210201211100
4130032213313111032
5444033341233400
621531350403530
72122053422223
oct341647672516
986210721740
1030310102350
1111944298570
125a5a9605a6
132b206bc208
1416776cb94a
15bc5e81100
hex70e9f754e

30310102350 has 144 divisors (see below), whose sum is σ = 90088412544. Its totient is φ = 7244328000.

The previous prime is 30310102331. The next prime is 30310102357. The reversal of 30310102350 is 5320101303.

30310102350 is a `hidden beast` number, since 3 + 0 + 310 + 1 + 0 + 2 + 350 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30310102357) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 308329 + ... + 394571.

It is an arithmetic number, because the mean of its divisors is an integer number (625613976).

Almost surely, 230310102350 is an apocalyptic number.

30310102350 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 30310102350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45044206272).

30310102350 is an abundant number, since it is smaller than the sum of its proper divisors (59778310194).

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

30310102350 is a wasteful number, since it uses less digits than its factorization.

30310102350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86343 (or 86335 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 30310102350 its reverse (5320101303), we get a palindrome (35630203653).

The spelling of 30310102350 in words is "thirty billion, three hundred ten million, one hundred two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 71 75 90 99 110 142 150 165 198 213 225 275 330 355 426 450 495 550 639 710 781 825 990 1065 1278 1562 1650 1775 2130 2343 2475 3195 3550 3905 4686 4950 5325 6390 7029 7810 10650 11715 14058 15975 19525 23430 31950 35145 39050 58575 70290 86243 117150 172486 175725 258729 351450 431215 517458 776187 862430 948673 1293645 1552374 1897346 2156075 2587290 2846019 3880935 4312150 4743365 5692038 6123253 6468225 7761870 8538057 9486730 12246506 12936450 14230095 17076114 18369759 19404675 23716825 28460190 30616265 36739518 38809350 42690285 47433650 55109277 61232530 67355783 71150475 85380570 91848795 110218554 134711566 142300950 153081325 183697590 202067349 213451425 275546385 306162650 336778915 404134698 426902850 459243975 551092770 606202047 673557830 918487950 1010336745 1212404094 1377731925 1683894575 2020673490 2755463850 3031010235 3367789150 5051683725 6062020470 10103367450 15155051175 30310102350