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21347365112451 = 3372231721407639
BaseRepresentation
bin1001101101010010100100…
…00111010100101010000011
32210120210021120121222022000
410312221102013110222003
510244223400432044301
6113222502200315043
74332203415352200
oct466512207245203
983523246558260
1021347365112451
116890404099264
122489319472a83
13bbb0812b1421
1453b30a212ca7
1527046217d786
hex136a521d4a83

21347365112451 has 96 divisors (see below), whose sum is σ = 38411036697600. Its totient is φ = 11661316571520.

The previous prime is 21347365112449. The next prime is 21347365112467. The reversal of 21347365112451 is 15421156374312.

21347365112451 is a `hidden beast` number, since 2 + 1 + 3 + 47 + 365 + 1 + 1 + 245 + 1 = 666.

It is not a de Polignac number, because 21347365112451 - 21 = 21347365112449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21347365112397 and 21347365112406.

It is not an unprimeable number, because it can be changed into a prime (21347365112431) 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, 52164490 + ... + 52572128.

It is an arithmetic number, because the mean of its divisors is an integer number (400114965600).

Almost surely, 221347365112451 is an apocalyptic number.

21347365112451 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21347365112451 is a deficient number, since it is larger than the sum of its proper divisors (17063671585149).

21347365112451 is a wasteful number, since it uses less digits than its factorization.

21347365112451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409406 (or 409393 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 21347365112451 in words is "twenty-one trillion, three hundred forty-seven billion, three hundred sixty-five million, one hundred twelve thousand, four hundred fifty-one".

Divisors: 1 3 7 9 21 23 27 49 63 69 147 161 189 207 441 483 621 1127 1323 1449 1721 3381 4347 5163 10143 12047 15489 30429 36141 39583 46467 84329 108423 118749 252987 277081 325269 356247 407639 758961 831243 1068741 1222917 1939567 2276883 2493729 2853473 3668751 5818701 7481187 8560419 9375697 11006253 17456103 19974311 25681257 28127091 52368309 59922933 65629879 77043771 84381273 179768799 196889637 253143819 459409153 539306397 590668911 701546719 1378227459 1772006733 2104640157 4134682377 4910827033 6313920471 12404047131 14732481099 16135574537 18941761413 34375789231 44197443297 48406723611 103127367693 112949021759 132592329891 145220170833 309382103079 338847065277 435660512499 790643152313 928146309237 1016541195831 2371929456939 3049623587493 7115788370817 21347365112451