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107016126201 = 32971279291039
BaseRepresentation
bin110001110101010101…
…0000111111011111001
3101020020010201111000200
41203222222013323321
53223132112014301
6121055034552413
710505650030635
oct1435252077371
9336203644020
10107016126201
11414268a4606
12188a7598709
13a1262707ca
145272bb7dc5
152bb518bc86
hex18eaa87ef9

107016126201 has 48 divisors (see below), whose sum is σ = 157723238400. Its totient is φ = 69909848064.

The previous prime is 107016126197. The next prime is 107016126223. The reversal of 107016126201 is 102621610701.

It is a happy number.

107016126201 is a `hidden beast` number, since 10 + 7 + 0 + 16 + 12 + 620 + 1 = 666.

It is not a de Polignac number, because 107016126201 - 22 = 107016126197 is a prime.

It is a super-2 number, since 2×1070161262012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107016126241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102998640 + ... + 102999678.

It is an arithmetic number, because the mean of its divisors is an integer number (3285900800).

Almost surely, 2107016126201 is an apocalyptic number.

It is an amenable number.

107016126201 is a deficient number, since it is larger than the sum of its proper divisors (50707112199).

107016126201 is a wasteful number, since it uses less digits than its factorization.

107016126201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 107016126201 its reverse (102621610701), we get a palindrome (209637736902).

The spelling of 107016126201 in words is "one hundred seven billion, sixteen million, one hundred twenty-six thousand, two hundred one".

Divisors: 1 3 9 97 127 291 381 873 929 1039 1143 2787 3117 8361 9351 12319 36957 90113 100783 110871 117983 131953 270339 302349 353949 395859 811017 907047 965231 1061847 1187577 2895693 8687079 11444351 12799441 34333053 38398323 93627407 102999159 115194969 122584337 280882221 367753011 842646663 1103259033 11890680689 35672042067 107016126201