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1221230310201 = 321122694168861
BaseRepresentation
bin10001110001010110111…
…111111011001100111001
311022202012122021121112200
4101301112333323030321
5130002034424411301
62333005255500413
7154142140235106
oct21612677731471
94282178247480
101221230310201
11430a14744400
12178823687709
138b213b3a035
1443171d8daad
1521b7897cc86
hex11c56ffb339

1221230310201 has 36 divisors (see below), whose sum is σ = 1946149847460. Its totient is φ = 737387956800.

The previous prime is 1221230310149. The next prime is 1221230310229. The reversal of 1221230310201 is 1020130321221.

1221230310201 is a `hidden beast` number, since 1 + 221 + 230 + 3 + 10 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 637761960000 + 583468350201 = 798600^2 + 763851^2 .

It is not a de Polignac number, because 1221230310201 - 210 = 1221230309177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1221230310901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1791490 + ... + 2377371.

It is an arithmetic number, because the mean of its divisors is an integer number (54059717985).

Almost surely, 21221230310201 is an apocalyptic number.

1221230310201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1221230310201 is a deficient number, since it is larger than the sum of its proper divisors (724919537259).

1221230310201 is a wasteful number, since it uses less digits than its factorization.

1221230310201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4169158 (or 4169144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1221230310201 its reverse (1020130321221), we get a palindrome (2241360631422).

The spelling of 1221230310201 in words is "one trillion, two hundred twenty-one billion, two hundred thirty million, three hundred ten thousand, two hundred one".

Divisors: 1 3 9 11 33 99 121 269 363 807 1089 2421 2959 8877 26631 32549 97647 292941 4168861 12506583 37519749 45857471 137572413 412717239 504432181 1121423609 1513296543 3364270827 4539889629 10092812481 12335659699 37006979097 111020937291 135692256689 407076770067 1221230310201