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231310121220 = 2232510140131729
BaseRepresentation
bin1101011101101100101…
…0000101100100000100
3211010001101210122022200
43113123022011210010
512242210342334340
6254132402354500
722466036406153
oct3273312054404
9733041718280
10231310121220
118a109595742
12389b535ba30
1318a73c54019
14b2a452359a
15603c0dc330
hex35db285904

231310121220 has 144 divisors (see below), whose sum is σ = 710377078320. Its totient is φ = 60917760000.

The previous prime is 231310121219. The next prime is 231310121249. The reversal of 231310121220 is 22121013132.

231310121220 is a `hidden beast` number, since 2 + 313 + 10 + 121 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 129409989696 + 101900131524 = 359736^2 + 319218^2 .

It is a super-2 number, since 2×2313101212202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231310121193 and 231310121202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7274316 + ... + 7306044.

It is an arithmetic number, because the mean of its divisors is an integer number (4933174155).

Almost surely, 2231310121220 is an apocalyptic number.

231310121220 is a gapful number since it is divisible by the number (20) 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 231310121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355188539160).

231310121220 is an abundant number, since it is smaller than the sum of its proper divisors (479066957100).

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

231310121220 is a wasteful number, since it uses less digits than its factorization.

231310121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32246 (or 32241 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 231310121220 its reverse (22121013132), we get a palindrome (253431134352).

The spelling of 231310121220 in words is "two hundred thirty-one billion, three hundred ten million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 401 404 505 606 802 909 1010 1203 1212 1515 1604 1818 2005 2020 2406 3030 3609 3636 4010 4545 4812 6015 6060 7218 8020 9090 12030 14436 18045 18180 24060 31729 36090 40501 63458 72180 81002 95187 121503 126916 158645 162004 190374 202505 243006 285561 317290 364509 380748 405010 475935 486012 571122 607515 634580 729018 810020 951870 1142244 1215030 1427805 1458036 1822545 1903740 2430060 2855610 3204629 3645090 5711220 6409258 7290180 9613887 12723329 12818516 16023145 19227774 25446658 28841661 32046290 38169987 38455548 48069435 50893316 57683322 63616645 64092580 76339974 96138870 114509961 115366644 127233290 144208305 152679948 190849935 192277740 229019922 254466580 288416610 381699870 458039844 572549805 576833220 763399740 1145099610 1285056229 2290199220 2570112458 3855168687 5140224916 6425281145 7710337374 11565506061 12850562290 15420674748 19275843435 23131012122 25701124580 38551686870 46262024244 57827530305 77103373740 115655060610 231310121220