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21214220006403 = 3329331213738303
BaseRepresentation
bin1001101001011010100100…
…00011000011010000000011
32210010001121110121210021000
410310231102003003100003
510240033210310201103
6113041402250503043
74316451101544354
oct464552203032003
983101543553230
1021214220006403
11683999a15a436
12246755b434a83
13bab65294abc8
14534ab916bd2b
1526bc6d161aa3
hex134b520c3403

21214220006403 has 64 divisors (see below), whose sum is σ = 32626550476800. Its totient is φ = 13607150135040.

The previous prime is 21214220006377. The next prime is 21214220006407. The reversal of 21214220006403 is 30460002241212.

21214220006403 is a `hidden beast` number, since 2 + 1 + 2 + 14 + 2 + 2 + 0 + 0 + 0 + 640 + 3 = 666.

It is not a de Polignac number, because 21214220006403 - 213 = 21214219998211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21214220006407) 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 63 ways as a sum of consecutive naturals, for example, 553833550 + ... + 553871852.

It is an arithmetic number, because the mean of its divisors is an integer number (509789851200).

Almost surely, 221214220006403 is an apocalyptic number.

21214220006403 is a deficient number, since it is larger than the sum of its proper divisors (11412330470397).

21214220006403 is a wasteful number, since it uses less digits than its factorization.

21214220006403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40809 (or 40803 counting only the distinct ones).

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

Adding to 21214220006403 its reverse (30460002241212), we get a palindrome (51674222247615).

The spelling of 21214220006403 in words is "twenty-one trillion, two hundred fourteen billion, two hundred twenty million, six thousand, four hundred three".

Divisors: 1 3 9 27 29 87 261 331 783 993 2137 2979 6411 8937 9599 19233 28797 38303 57699 61973 86391 114909 185919 259173 344727 557757 707347 1034181 1110787 1673271 2122041 3332361 6366123 9997083 12678293 19098369 20513063 29991249 38034879 61539189 81853511 114104637 184617567 245560533 342313911 367670497 553852701 736681599 1103011491 2210044797 2373751819 3309034473 7121255457 9927103419 21363766371 27093512141 64091299113 81280536423 243841609269 731524827807 785711852089 2357135556267 7071406668801 21214220006403