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120211300131130 = 251317614611934293
BaseRepresentation
bin11011010101010011011111…
…110101111010000100111010
3120202122002101012020212012001
4123111103133311322010322
5111224020220313144010
61103400150420011214
734214660036520655
oct3325233765720472
9522562335225161
10120211300131130
113533736502715a
1211595909230b0a
13520cb528b8b70
142198387c2a89c
15dd6e89ba1c3a
hex6d54dfd7a13a

120211300131130 has 128 divisors (see below), whose sum is σ = 251321241036096. Its totient is φ = 41000800665600.

The previous prime is 120211300131127. The next prime is 120211300131203. The reversal of 120211300131130 is 31131003112021.

It can be written as a sum of positive squares in 32 ways, for example, as 14390391880089 + 105820908251041 = 3793467^2 + 10286929^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120211300131098 and 120211300131107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61180264 + ... + 63114556.

Almost surely, 2120211300131130 is an apocalyptic number.

120211300131130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120211300131130 is an abundant number, since it is smaller than the sum of its proper divisors (131109940904966).

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

120211300131130 is a wasteful number, since it uses less digits than its factorization.

120211300131130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934852.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 120211300131130 its reverse (31131003112021), we get a palindrome (151342303243151).

The spelling of 120211300131130 in words is "one hundred twenty trillion, two hundred eleven billion, three hundred million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 61 65 85 122 130 170 221 305 442 461 610 793 922 1037 1105 1586 2074 2210 2305 3965 4610 5185 5993 7837 7930 10370 11986 13481 15674 26962 28121 29965 39185 56242 59930 67405 78370 101881 134810 140605 203762 281210 365573 478057 509405 731146 956114 1018810 1827865 1934293 2390285 3655730 3868586 4780570 6214741 9671465 12429482 19342930 25145809 31073705 32882981 50291618 62147410 65765962 117991873 125729045 164414905 235983746 251458090 328829810 427478753 589959365 854957506 891709073 1179918730 1533894349 1783418146 2005861841 2137393765 3067788698 4011723682 4274787530 4458545365 7669471745 8917090730 10029309205 11592217949 15159054241 15338943490 20058618410 23184435898 26076203933 30318108482 52152407866 54394253453 57961089745 75795271205 108788506906 115922179490 130381019665 151590542410 197067705133 260762039330 271971267265 394135410266 543942534530 707125294889 924702308701 985338525665 1414250589778 1849404617402 1970677051330 3535626474445 4623511543505 7071252948890 9247023087010 12021130013113 24042260026226 60105650065565 120211300131130