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21214421397 = 34131710191163
BaseRepresentation
bin10011110000011110…
…100110000110010101
32000202110200021020000
4103300132212012111
5321421342441042
613425030401513
71350466415031
oct236036460625
960673607200
1021214421397
118aa6a95874
124140800299
13200117b290
1410536cb1c1
158426a474c
hex4f07a6195

21214421397 has 80 divisors (see below), whose sum is σ = 36202541760. Its totient is φ = 12264473088.

The previous prime is 21214421377. The next prime is 21214421399. The reversal of 21214421397 is 79312441212.

21214421397 is a `hidden beast` number, since 2 + 121 + 442 + 1 + 3 + 97 = 666.

It is not a de Polignac number, because 21214421397 - 220 = 21213372821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21214421399) 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 79 ways as a sum of consecutive naturals, for example, 18240538 + ... + 18241700.

It is an arithmetic number, because the mean of its divisors is an integer number (452531772).

Almost surely, 221214421397 is an apocalyptic number.

21214421397 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

21214421397 is a deficient number, since it is larger than the sum of its proper divisors (14988120363).

21214421397 is a wasteful number, since it uses less digits than its factorization.

21214421397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2215 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 21214421397 in words is "twenty-one billion, two hundred fourteen million, four hundred twenty-one thousand, three hundred ninety-seven".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 351 459 663 1019 1053 1163 1377 1989 3057 3489 5967 9171 10467 13247 15119 17323 17901 19771 27513 31401 39741 45357 51969 59313 82539 94203 119223 136071 155907 177939 225199 257023 357669 408213 467721 533817 675597 771069 1073007 1185097 1224639 1403163 1601451 2026791 2313207 3555291 6080373 6939621 10665873 15406261 18241119 20146649 20818863 31997619 46218783 60439947 95992857 138656349 181319841 261906437 415969047 543959523 785719311 1247907141 1631878569 2357157933 7071473799 21214421397