Search a number
-
+
30003111232302 = 2313259982160167
BaseRepresentation
bin1101101001001101001001…
…10010011000001100101110
310221020021021102000201212010
412310212210302120030232
512413032332433413202
6143451123343422050
76214440031415265
oct664464462301456
9127207242021763
1030003111232302
119618280124a1a
1234469792b4926
131398386b9aa00
1475a2306695dc
153706b2ee076c
hex1b49a4c9832e

30003111232302 has 96 divisors (see below), whose sum is σ = 65165987289600. Its totient is φ = 9204935925120.

The previous prime is 30003111232301. The next prime is 30003111232307. The reversal of 30003111232302 is 20323211130003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30003111232301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498633823 + ... + 498693989.

It is an arithmetic number, because the mean of its divisors is an integer number (678812367600).

Almost surely, 230003111232302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30003111232302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32582993644800).

30003111232302 is an abundant number, since it is smaller than the sum of its proper divisors (35162876057298).

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

30003111232302 is a wasteful number, since it uses less digits than its factorization.

30003111232302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61618 (or 61605 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 30003111232302 its reverse (20323211130003), we get a palindrome (50326322362305).

The spelling of 30003111232302 in words is "thirty trillion, three billion, one hundred eleven million, two hundred thirty-two thousand, three hundred two".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 599 821 1014 1198 1642 1797 2463 3594 4926 7787 10673 15574 21346 23361 32019 46722 60167 64038 101231 120334 138749 180501 202462 277498 303693 361002 416247 491779 607386 782171 832494 983558 1475337 1564342 2346513 2950674 4693026 6393127 10168223 12786254 19179381 20336446 30504669 36040033 38358762 49397107 61009338 72080066 83110651 98794214 108120099 148191321 166221302 216240198 249331953 296382642 468520429 498663906 642162391 937040858 1284324782 1405561287 1926487173 2811122574 3852974346 6090765577 8348111083 12181531154 16696222166 18272296731 25044333249 29588867093 36544593462 50088666498 59177734186 88766601279 177533202558 384655272209 769310544418 1153965816627 2307931633254 5000518538717 10001037077434 15001555616151 30003111232302