Search a number
-
+
303331113132112 = 241347169811827227
BaseRepresentation
bin100010011111000001100011…
…1001111110110000001010000
31110210000011121210222202121201
41010332003013033312001100
5304224234104430211422
62553044220055200544
7120614643520064512
oct10476030717660120
91423004553882551
10303331113132112
11887180035a011a
122a02b728076154
1310034002926760
1454c9438a75bb2
152510511e67727
hex113e0c73f6050

303331113132112 has 80 divisors (see below), whose sum is σ = 646416666185472. Its totient is φ = 137012129671680.

The previous prime is 303331113132097. The next prime is 303331113132137. The reversal of 303331113132112 is 211231311133303.

It is a happy number.

It is a super-2 number, since 2×3033311131321122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165092643 + ... + 166919869.

Almost surely, 2303331113132112 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 303331113132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323208333092736).

303331113132112 is an abundant number, since it is smaller than the sum of its proper divisors (343085553053360).

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

303331113132112 is a wasteful number, since it uses less digits than its factorization.

303331113132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844276 (or 1844270 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 303331113132112 its reverse (211231311133303), we get a palindrome (514562424265415).

The spelling of 303331113132112 in words is "three hundred three trillion, three hundred thirty-one billion, one hundred thirteen million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 611 752 1222 2444 4888 9776 16981 33962 67924 135848 220753 271696 441506 798107 883012 1596214 1766024 1827227 3192428 3532048 3654454 6384856 7308908 10375391 12769712 14617816 20750782 23753951 29235632 41501564 47507902 83003128 85879669 95015804 166006256 171759338 190031608 343518676 380063216 687037352 1116435697 1374074704 2232871394 4465742788 8931485576 17862971152 31028141687 62056283374 124112566748 248225133496 403365841931 496450266992 806731683862 1458322659289 1613463367724 2916645318578 3226926735448 5833290637156 6453853470896 11666581274312 18958194570757 23333162548624 37916389141514 75832778283028 151665556566056 303331113132112