Search a number
-
+
302111112100 = 225272139944071
BaseRepresentation
bin1000110010101110011…
…10011011101110100100
31001212210122100122010011
410121113032123232210
514422210421041400
6350442105340004
730553411040200
oct4312716335644
91055718318104
10302111112100
11107140935046
124a674497604
132264830a575
141089d681b00
157cd2bbd8ba
hex465739bba4

302111112100 has 108 divisors (see below), whose sum is σ = 763177195200. Its totient is φ = 103504564800.

The previous prime is 302111112097. The next prime is 302111112161. The reversal of 302111112100 is 1211111203.

It is a happy number.

It is a super-2 number, since 2×3021111121002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6833065 + ... + 6877135.

Almost surely, 2302111112100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302111112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381588597600).

302111112100 is an abundant number, since it is smaller than the sum of its proper divisors (461066083100).

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

302111112100 is a wasteful number, since it uses less digits than its factorization.

302111112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45498 (or 45484 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 302111112100 its reverse (1211111203), we get a palindrome (303322223303).

The spelling of 302111112100 in words is "three hundred two billion, one hundred eleven million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 1399 2450 2798 4900 5596 6995 9793 13990 19586 27980 34975 39172 44071 48965 68551 69950 88142 97930 137102 139900 176284 195860 220355 244825 274204 308497 342755 440710 489650 616994 685510 881420 979300 1101775 1233988 1371020 1542485 1713775 2159479 2203550 3084970 3427550 4318958 4407100 6169940 6855100 7712425 8637916 10797395 15424850 21594790 30849700 43189580 53986975 61655329 107973950 123310658 215947900 246621316 308276645 431587303 616553290 863174606 1233106580 1541383225 1726349212 2157936515 3021111121 3082766450 4315873030 6042222242 6165532900 8631746060 10789682575 12084444484 15105555605 21579365150 30211111210 43158730300 60422222420 75527778025 151055556050 302111112100