Search a number
-
+
302031013313100 = 223526127496003793
BaseRepresentation
bin100010010101100100001001…
…1010000100111101001001100
31110121101212211121210222110010
41010223020103100213221030
5304041434003402004400
62550211044304113220
7120422010033003441
oct10453102320475114
91417355747728403
10302031013313100
11882666a70a0485
1229a5b773305810
13cc6b52cc50016
1454825441459c8
1524db7be3c6450
hex112b213427a4c

302031013313100 has 144 divisors (see below), whose sum is σ = 888525489236000. Its totient is φ = 79192417996800.

The previous prime is 302031013313021. The next prime is 302031013313129. The reversal of 302031013313100 is 1313310130203.

It is a super-2 number, since 2×3020310133131002 (a number of 30 digits) contains 22 as substring.

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, 47304804 + ... + 53308596.

Almost surely, 2302031013313100 is an apocalyptic number.

302031013313100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302031013313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444262744618000).

302031013313100 is an abundant number, since it is smaller than the sum of its proper divisors (586494475922900).

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

302031013313100 is a wasteful number, since it uses less digits than its factorization.

302031013313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006620 (or 6006613 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 302031013313100 its reverse (1313310130203), we get a palindrome (303344323443303).

The spelling of 302031013313100 in words is "three hundred two trillion, thirty-one billion, thirteen million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 2749 3050 3660 4575 5498 6100 8247 9150 10996 13745 16494 18300 27490 32988 41235 54980 68725 82470 137450 164940 167689 206175 274900 335378 412350 503067 670756 824700 838445 1006134 1676890 2012268 2515335 3353780 4192225 5030670 6003793 8384450 10061340 12007586 12576675 16768900 18011379 24015172 25153350 30018965 36022758 50306700 60037930 72045516 90056895 120075860 150094825 180113790 300189650 360227580 366231373 450284475 600379300 732462746 900568950 1098694119 1464925492 1801137900 1831156865 2197388238 3662313730 4394776476 5493470595 7324627460 9155784325 10986941190 16504426957 18311568650 21973882380 27467352975 33008853914 36623137300 49513280871 54934705950 66017707828 82522134785 99026561742 109869411900 165044269570 198053123484 247566404355 330088539140 412610673925 495132808710 825221347850 990265617420 1006770044377 1237832021775 1650442695700 2013540088754 2475664043550 3020310133131 4027080177508 4951328087100 5033850221885 6040620266262 10067700443770 12081240532524 15101550665655 20135400887540 25169251109425 30203101331310 50338502218850 60406202662620 75507753328275 100677004437700 151015506656550 302031013313100