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102400214221 = 17192313783849
BaseRepresentation
bin101111101011110000…
…1110100010011001101
3100210022110001212011201
41133113201310103031
53134203423323341
6115013023545501
710253400313414
oct1372741642315
9323273055151
10102400214221
113a478284618
1217a1975b291
13986bb71a46
144d55b3847b
1529e4d04331
hex17d78744cd

102400214221 has 16 divisors (see below), whose sum is σ = 119092464000. Its totient is φ = 87334460928.

The previous prime is 102400214219. The next prime is 102400214237. The reversal of 102400214221 is 122412004201.

It is a cyclic number.

It is not a de Polignac number, because 102400214221 - 21 = 102400214219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102400214321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6884496 + ... + 6899353.

It is an arithmetic number, because the mean of its divisors is an integer number (7443279000).

Almost surely, 2102400214221 is an apocalyptic number.

It is an amenable number.

102400214221 is a deficient number, since it is larger than the sum of its proper divisors (16692249779).

102400214221 is a wasteful number, since it uses less digits than its factorization.

102400214221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13783908.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 102400214221 its reverse (122412004201), we get a palindrome (224812218422).

The spelling of 102400214221 in words is "one hundred two billion, four hundred million, two hundred fourteen thousand, two hundred twenty-one".

Divisors: 1 17 19 23 323 391 437 7429 13783849 234325433 261893131 317028527 4452183227 5389484959 6023542013 102400214221