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22201034214321 = 3238943427146023
BaseRepresentation
bin1010000110001000101001…
…10000100000101110110001
32220121101202020122120110100
411003010110300200232301
510402220204224324241
6115115003032023013
74450654216115034
oct503042460405661
986541666576410
1022201034214321
11708a4510415a6
1225a6861531a69
13c507191c36c1
1456a7702c501b
15287776ec69b6
hex143114c20bb1

22201034214321 has 24 divisors (see below), whose sum is σ = 32151558479040. Its totient is φ = 14762200394016.

The previous prime is 22201034214319. The next prime is 22201034214329. The reversal of 22201034214321 is 12341243010222.

22201034214321 is a `hidden beast` number, since 2 + 2 + 20 + 103 + 4 + 214 + 321 = 666.

It is not a de Polignac number, because 22201034214321 - 21 = 22201034214319 is a prime.

It is a super-3 number, since 3×222010342143213 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22201034214329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151964916 + ... + 152110938.

It is an arithmetic number, because the mean of its divisors is an integer number (1339648269960).

Almost surely, 222201034214321 is an apocalyptic number.

It is an amenable number.

22201034214321 is a deficient number, since it is larger than the sum of its proper divisors (9950524264719).

22201034214321 is a wasteful number, since it uses less digits than its factorization.

22201034214321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189845 (or 189842 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22201034214321 its reverse (12341243010222), we get a palindrome (34542277224543).

The spelling of 22201034214321 in words is "twenty-two trillion, two hundred one billion, thirty-four million, two hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 9 389 1167 3501 43427 130281 146023 390843 438069 1314207 16893103 50679309 56802947 152037927 170408841 511226523 6341340821 19024022463 57072067389 2466781579369 7400344738107 22201034214321