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1201384921 = 1122321372
BaseRepresentation
bin100011110011011…
…1010110111011001
310002201121200021211
41013212322313121
54430023304141
6315113503121
741525413642
oct10746726731
93081550254
101201384921
11567172300
12296411aa1
13161b8a969
14b57b06c9
1570710d81
hex479badd9

1201384921 has 27 divisors (see below), whose sum is σ = 1390590943. Its totient is φ = 1037057120.

The previous prime is 1201384909. The next prime is 1201384927. The reversal of 1201384921 is 1294831021.

The square root of 1201384921 is 34661.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 705699225 + 495685696 = 26565^2 + 22264^2 .

It is not a de Polignac number, because 1201384921 - 215 = 1201352153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1201384927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8769165 + ... + 8769301.

Almost surely, 21201384921 is an apocalyptic number.

1201384921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1201384921 is the 34661-st square number.

1201384921 is the 17331-st centered octagonal number.

It is an amenable number.

1201384921 is a deficient number, since it is larger than the sum of its proper divisors (189206022).

1201384921 is an equidigital number, since it uses as much as digits as its factorization.

1201384921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The cubic root of 1201384921 is about 1063.0672170627.

The spelling of 1201384921 in words is "one billion, two hundred one million, three hundred eighty-four thousand, nine hundred twenty-one".

Divisors: 1 11 23 121 137 253 529 1507 2783 3151 5819 16577 18769 34661 64009 72473 206459 381271 431687 797203 2271049 4748557 8769233 9928801 52234127 109216811 1201384921