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120401253 = 32717311047
BaseRepresentation
bin1110010110100…
…10110101100101
322101120000110200
413023102311211
5221310320003
615540341113
72661252030
oct713226545
9271500420
10120401253
1161a66275
12343a4799
131bc3775b
1411dc2017
15a8846a3
hex72d2d65

120401253 has 24 divisors (see below), whose sum is σ = 199924608. Its totient is φ = 68396832.

The previous prime is 120401249. The next prime is 120401273. The reversal of 120401253 is 352104021.

120401253 is a `hidden beast` number, since 12 + 0 + 401 + 253 = 666.

It is not a de Polignac number, because 120401253 - 22 = 120401249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120401273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5376 + ... + 16422.

It is an arithmetic number, because the mean of its divisors is an integer number (8330192).

Almost surely, 2120401253 is an apocalyptic number.

It is an amenable number.

120401253 is a deficient number, since it is larger than the sum of its proper divisors (79523355).

120401253 is a wasteful number, since it uses less digits than its factorization.

120401253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11233 (or 11230 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120401253 is about 10972.7504756100. The cubic root of 120401253 is about 493.7915671249.

Adding to 120401253 its reverse (352104021), we get a palindrome (472505274).

The spelling of 120401253 in words is "one hundred twenty million, four hundred one thousand, two hundred fifty-three".

Divisors: 1 3 7 9 21 63 173 519 1211 1557 3633 10899 11047 33141 77329 99423 231987 695961 1911131 5733393 13377917 17200179 40133751 120401253