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107210720097 = 3513476431123
BaseRepresentation
bin110001111011001000…
…0011100001101100001
3101020201200212212200000
41203312100130031201
53224031421020342
6121130225450213
710513532041035
oct1436620341541
9336650785600
10107210720097
1141516724908
12189407a0969
13a157684220
1452909901c5
152bc72c944c
hex18f641c361

107210720097 has 96 divisors (see below), whose sum is σ = 177060968448. Its totient is φ = 64414253376.

The previous prime is 107210720083. The next prime is 107210720143. The reversal of 107210720097 is 790027012701.

It is not a de Polignac number, because 107210720097 - 24 = 107210720081 is a prime.

It is a super-2 number, since 2×1072107200972 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107210720497) 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 95 ways as a sum of consecutive naturals, for example, 95467578 + ... + 95468700.

It is an arithmetic number, because the mean of its divisors is an integer number (1844385088).

Almost surely, 2107210720097 is an apocalyptic number.

It is an amenable number.

107210720097 is a deficient number, since it is larger than the sum of its proper divisors (69850248351).

107210720097 is a wasteful number, since it uses less digits than its factorization.

107210720097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

Adding to 107210720097 its reverse (790027012701), we get a palindrome (897237732798).

The spelling of 107210720097 in words is "one hundred seven billion, two hundred ten million, seven hundred twenty thousand, ninety-seven".

Divisors: 1 3 9 13 27 39 47 81 117 141 243 351 423 611 643 1053 1123 1269 1833 1929 3159 3369 3807 5499 5787 8359 10107 11421 14599 16497 17361 25077 30221 30321 43797 49491 52083 52781 75231 90663 90963 131391 148473 156249 158343 225693 271989 272889 392873 394173 475029 677079 686153 722089 815967 1178619 1182519 1425087 2031237 2058459 2166267 2447901 3535857 3547557 4275261 6175377 6498801 7343703 9387157 10607571 12825783 18526131 19496403 28161471 31822713 33938183 55578393 58489209 84484413 95468139 101814549 166735179 175467627 253453239 305443647 441196379 760359717 916330941 1323589137 2281079151 2748992823 3970767411 8246978469 11912302233 35736906699 107210720097