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106227127875 = 35311142318097
BaseRepresentation
bin110001011101110100…
…0010101011001000011
3101011012011002012210110
41202323220111121003
53220023121043000
6120444452002403
710450256455161
oct1427350253103
9334164065713
10106227127875
1141061498480
1218707300403
13a02b9703ab
1451da0b4231
152b6ac89850
hex18bba15643

106227127875 has 64 divisors (see below), whose sum is σ = 192977381376. Its totient is φ = 51465024000.

The previous prime is 106227127823. The next prime is 106227127883. The reversal of 106227127875 is 578721722601.

It is not a de Polignac number, because 106227127875 - 216 = 106227062339 is a prime.

It is a super-2 number, since 2×1062271278752 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5860827 + ... + 5878923.

It is an arithmetic number, because the mean of its divisors is an integer number (3015271584).

Almost surely, 2106227127875 is an apocalyptic number.

106227127875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106227127875 is a deficient number, since it is larger than the sum of its proper divisors (86750253501).

106227127875 is a wasteful number, since it uses less digits than its factorization.

106227127875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19549 (or 19539 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The spelling of 106227127875 in words is "one hundred six billion, two hundred twenty-seven million, one hundred twenty-seven thousand, eight hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 125 165 275 375 825 1375 1423 4125 4269 7115 15653 18097 21345 35575 46959 54291 78265 90485 106725 177875 199067 234795 271455 391325 452425 533625 597201 995335 1173975 1357275 1956625 2262125 2986005 4976675 5869875 6786375 14930025 24883375 25752031 74650125 77256093 128760155 283272341 386280465 643800775 849817023 1416361705 1931402325 3219003875 4249085115 7081808525 9657011625 21245425575 35409042625 106227127875