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30132310212120 = 233514914991124251
BaseRepresentation
bin1101101100111101110011…
…01001010111111000011000
310221200121202111200221100210
412312132321221113320120
512422141432403241440
6144030331530131120
76226662510546654
oct666367151277030
9127617674627323
1030132310212120
11966804a6267a6
123467a15880aa0
1313a7606b231ac
147625a95c1a64
15373c25879a80
hex1b67b9a57e18

30132310212120 has 128 divisors (see below), whose sum is σ = 91064412000000. Its totient is φ = 7976023104000.

The previous prime is 30132310212107. The next prime is 30132310212163. The reversal of 30132310212120 is 2121201323103.

It is a super-2 number, since 2×301323102121202 (a number of 28 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 31 ways as a sum of consecutive naturals, for example, 26239995 + ... + 27364245.

It is an arithmetic number, because the mean of its divisors is an integer number (711440718750).

Almost surely, 230132310212120 is an apocalyptic number.

30132310212120 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 30132310212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45532206000000).

30132310212120 is an abundant number, since it is smaller than the sum of its proper divisors (60932101787880).

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

30132310212120 is a wasteful number, since it uses less digits than its factorization.

30132310212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125913 (or 1125909 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 30132310212120 its reverse (2121201323103), we get a palindrome (32253511535223).

The spelling of 30132310212120 in words is "thirty trillion, one hundred thirty-two billion, three hundred ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 596 745 894 1192 1490 1499 1788 2235 2980 2998 3576 4470 4497 5960 5996 7495 8940 8994 11992 14990 17880 17988 22485 29980 35976 44970 59960 89940 179880 223351 446702 670053 893404 1116755 1124251 1340106 1786808 2233510 2248502 2680212 3350265 3372753 4467020 4497004 5360424 5621255 6700530 6745506 8934040 8994008 11242510 13401060 13491012 16863765 22485020 26802120 26982024 33727530 44970040 67455060 134910120 167513399 335026798 502540197 670053596 837566995 1005080394 1340107192 1675133990 1685252249 2010160788 2512700985 3350267980 3370504498 4020321576 5025401970 5055756747 6700535960 6741008996 8426261245 10050803940 10111513494 13482017992 16852522490 20101607880 20223026988 25278783735 33705044980 40446053976 50557567470 67410089960 101115134940 202230269880 251102585101 502205170202 753307755303 1004410340404 1255512925505 1506615510606 2008820680808 2511025851010 3013231021212 3766538776515 5022051702020 6026462042424 7533077553030 10044103404040 15066155106060 30132310212120