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120503201 = 72131011873
BaseRepresentation
bin1110010111010…
…11101110100001
322101202012022112
413023223232201
5221322100301
615542445105
72662155200
oct713535641
9271665275
10120503201
1162025925
1234433795
131bc71c90
141200b237
15a8a49bb
hex72ebba1

120503201 has 24 divisors (see below), whose sum is σ = 152536104. Its totient is φ = 94348800.

The previous prime is 120503183. The next prime is 120503213. The reversal of 120503201 is 102305021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3841600 + 116661601 = 1960^2 + 10801^2 .

It is not a de Polignac number, because 120503201 - 218 = 120241057 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120553201) 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, 63401 + ... + 65273.

It is an arithmetic number, because the mean of its divisors is an integer number (6355671).

Almost surely, 2120503201 is an apocalyptic number.

It is an amenable number.

120503201 is a deficient number, since it is larger than the sum of its proper divisors (32032903).

120503201 is a wasteful number, since it uses less digits than its factorization.

120503201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 120503201 is about 10977.3950006365. The cubic root of 120503201 is about 493.9308980692.

Adding to 120503201 its reverse (102305021), we get a palindrome (222808222).

It can be divided in two parts, 12050 and 3201, that added together give a palindrome (15251).

The spelling of 120503201 in words is "one hundred twenty million, five hundred three thousand, two hundred one".

Divisors: 1 7 13 49 91 101 637 707 1313 1873 4949 9191 13111 24349 64337 91777 170443 189173 1193101 1324211 2459249 9269477 17214743 120503201