Search a number
-
+
120210214403104 = 2572277276767789
BaseRepresentation
bin11011010101010010011111…
…001000001011110000100000
3120202121222120112021011022221
4123111102133020023300200
5111224011004341344404
61103355450553040424
734214621114136100
oct3325223710136040
9522558515234287
10120210214403104
113533695817a671
12115956656b6114
13520ca0b994347
1421982c3965200
15dd6e246d9954
hex6d549f20bc20

120210214403104 has 72 divisors (see below), whose sum is σ = 276296731221420. Its totient is φ = 51332675175936.

The previous prime is 120210214403101. The next prime is 120210214403173. The reversal of 120210214403104 is 401304412012021.

It can be written as a sum of positive squares in 2 ways, for example, as 119714671616400 + 495542786704 = 10941420^2 + 703948^2 .

It is not an unprimeable number, because it can be changed into a prime (120210214403101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137949559 + ... + 138818230.

Almost surely, 2120210214403104 is an apocalyptic number.

120210214403104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120210214403104 is an abundant number, since it is smaller than the sum of its proper divisors (156086516818316).

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

120210214403104 is a wasteful number, since it uses less digits than its factorization.

120210214403104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276768090 (or 276768075 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 120210214403104 its reverse (401304412012021), we get a palindrome (521514626415125).

The spelling of 120210214403104 in words is "one hundred twenty trillion, two hundred ten billion, two hundred fourteen million, four hundred three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 277 392 554 784 1108 1568 1939 2216 3878 4432 7756 8864 13573 15512 27146 31024 54292 62048 108584 217168 434336 276767789 553535578 1107071156 1937374523 2214142312 3874749046 4428284624 7749498092 8856569248 13561621661 15498996184 27123243322 30997992368 54246486644 61995984736 76664677553 108492973288 153329355106 216985946576 306658710212 433971893152 536652742871 613317420424 1073305485742 1226634840848 2146610971484 2453269681696 3756569200097 4293221942968 7513138400194 8586443885936 15026276800388 17172887771872 30052553600776 60105107201552 120210214403104