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21430013403825 = 325213337109119927
BaseRepresentation
bin1001101111101100100000…
…10101100010001010110001
32210212200121110222012002200
410313312100111202022301
510302102131412410300
6113324451240133413
74341160465264665
oct467662025421261
983780543865080
1021430013403825
1169124659838a4
1224a1344167269
13bc5ac2c96950
1454130a9a08a5
1527269cdbb200
hex137d905622b1

21430013403825 has 144 divisors (see below), whose sum is σ = 41498856986496. Its totient is φ = 10508685465600.

The previous prime is 21430013403803. The next prime is 21430013403857. The reversal of 21430013403825 is 52830431003412.

21430013403825 is a `hidden beast` number, since 2 + 1 + 4 + 300 + 1 + 340 + 3 + 8 + 2 + 5 = 666.

It is not a de Polignac number, because 21430013403825 - 25 = 21430013403793 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21430013403825.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1075416012 + ... + 1075435938.

Almost surely, 221430013403825 is an apocalyptic number.

21430013403825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21430013403825 is a deficient number, since it is larger than the sum of its proper divisors (20068843582671).

21430013403825 is a wasteful number, since it uses less digits than its factorization.

21430013403825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21384 (or 21376 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 21430013403825 in words is "twenty-one trillion, four hundred thirty billion, thirteen million, four hundred three thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 337 585 975 1011 1091 1685 2925 3033 3273 4381 5055 5455 8425 9819 13143 14183 15165 16365 19927 21905 25275 27275 39429 42549 49095 59781 65715 70915 75825 81825 99635 109525 127647 179343 197145 212745 245475 259051 298905 328575 354575 367667 498175 638235 777153 896715 985725 1063725 1103001 1295255 1494525 1838335 2331459 3191175 3309003 3885765 4483575 4779671 5515005 6476275 6715399 9191675 11657295 14339013 16545015 19428825 20146197 21740357 23898355 27575025 33576995 43017039 58286475 60438591 65221071 71695065 82725075 87300187 100730985 108701785 119491775 167884975 195663213 215085195 261900561 282624641 302192955 326105355 358475325 436500935 503654925 543508925 785701683 847873923 978316065 1075425975 1309502805 1413123205 1510964775 1630526775 2182504675 2543621769 3928508415 4239369615 4891580325 6547514025 7065616025 7326500309 12718108845 19642542075 21196848075 21979500927 36632501545 63590544225 65938502781 95244504017 109897504635 183162507725 285733512051 329692513905 476222520085 549487523175 857200536153 1428667560255 1648462569525 2381112600425 4286002680765 7143337801275 21430013403825