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214121142124323 = 37219419510135869
BaseRepresentation
bin110000101011110111110110…
…100111010111111100100011
31001002010210002112211112212020
4300223313312213113330203
5211031130044340434243
62035221521132432523
763046512340030200
oct6053676647277443
91032123075745766
10214121142124323
11622532a2669a55
1220022141318743
1392626c9c095a5
143ac3738d80ca7
1519b4bb034a283
hexc2bdf69d7f23

214121142124323 has 96 divisors (see below), whose sum is σ = 350498338848000. Its totient is φ = 115612664428800.

The previous prime is 214121142124277. The next prime is 214121142124349. The reversal of 214121142124323 is 323421241121412.

It is a happy number.

It is not a de Polignac number, because 214121142124323 - 28 = 214121142124067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214121142124823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5969514033 + ... + 5969549901.

It is an arithmetic number, because the mean of its divisors is an integer number (3651024363000).

Almost surely, 2214121142124323 is an apocalyptic number.

214121142124323 is a deficient number, since it is larger than the sum of its proper divisors (136377196723677).

214121142124323 is a wasteful number, since it uses less digits than its factorization.

214121142124323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41425 (or 41418 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

Adding to 214121142124323 its reverse (323421241121412), we get a palindrome (537542383245735).

The spelling of 214121142124323 in words is "two hundred fourteen trillion, one hundred twenty-one billion, one hundred forty-two million, one hundred twenty-four thousand, three hundred twenty-three".

Divisors: 1 3 7 19 21 49 57 133 147 399 419 931 1257 2793 2933 5101 7961 8799 15303 20531 23883 35707 35869 55727 61593 96919 107121 107607 167181 249949 251083 290757 390089 678433 681511 749847 753249 1170267 1757581 2035299 2044533 2137319 4749031 4770577 5272743 6411957 14247093 14311731 14961233 15029111 33394039 40609061 44883699 45087333 100182117 104728631 105203777 121827183 182967769 284263427 285553109 314185893 315611331 548903307 736426439 852790281 856659327 1280774383 1989843989 1998871763 2209279317 3476387611 3842323149 5969531967 5996615289 8965420681 10429162833 13992102341 24334713277 26896262043 41976307023 73004139831 76663495211 170342992939 229990485633 511028978817 536644466477 1456606409009 1609933399431 3756511265339 4369819227027 10196244863063 11269533796017 30588734589189 71373714041441 214121142124323