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214654542121005 = 35727111336401221
BaseRepresentation
bin110000110011101000100111…
…101110111000100000101101
31001011000202220010000220002220
4300303220213232320200231
5211113400000240333010
62040310534005505553
763133164442140300
oct6063504756704055
91034022803026086
10214654542121005
1162439530aa4298
12200a95a3a122b9
1392a0ab49438bc
143b01499db8b37
1519c39cd30d970
hexc33a27bb882d

214654542121005 has 96 divisors (see below), whose sum is σ = 408732722880768. Its totient is φ = 95889549772800.

The previous prime is 214654542120959. The next prime is 214654542121069. The reversal of 214654542121005 is 500121245456412.

214654542121005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214654542121005 - 212 = 214654542116909 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12303706 + ... + 24097515.

It is an arithmetic number, because the mean of its divisors is an integer number (4257632530008).

Almost surely, 2214654542121005 is an apocalyptic number.

It is an amenable number.

214654542121005 is a deficient number, since it is larger than the sum of its proper divisors (194078180759763).

214654542121005 is a wasteful number, since it uses less digits than its factorization.

214654542121005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36401427 (or 36401420 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

Adding to 214654542121005 its reverse (500121245456412), we get a palindrome (714775787577417).

The spelling of 214654542121005 in words is "two hundred fourteen trillion, six hundred fifty-four billion, five hundred forty-two million, one hundred twenty-one thousand, five".

Divisors: 1 3 5 7 15 21 35 49 71 105 113 147 213 245 339 355 497 565 735 791 1065 1491 1695 2373 2485 3479 3955 5537 7455 8023 10437 11865 16611 17395 24069 27685 40115 52185 56161 83055 120345 168483 280805 393127 842415 1179381 1965635 5896905 36401221 109203663 182006105 254808547 546018315 764425641 1274042735 1783659829 2584486691 3822128205 4113337973 5350979487 7753460073 8918299145 12340013919 12922433455 18091406837 20566689865 26754897435 28793365811 38767300365 54274220511 61700069595 86380097433 90457034185 126639847859 143966829055 201553560677 271371102555 292046996083 379919543577 431900487165 604660682031 633199239295 876140988249 1007767803385 1460234980415 1899597717885 2044328972581 3023303410155 4380704941245 6132986917743 10221644862905 14310302808067 30664934588715 42930908424201 71551514040335 214654542121005