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106455342201 = 313172941135043
BaseRepresentation
bin110001100100100111…
…0111001110001111001
3101011210001111200222220
41203021032321301321
53221010031422301
6120523243234253
710456030323105
oct1431116716171
9334701450886
10106455342201
11411692a125a
121876b818989
13a067025960
14521c51c905
152b80d18936
hex18c93b9c79

106455342201 has 64 divisors (see below), whose sum is σ = 171516683520. Its totient is φ = 58078863360.

The previous prime is 106455342187. The next prime is 106455342241. The reversal of 106455342201 is 102243554601.

It is not a de Polignac number, because 106455342201 - 26 = 106455342137 is a prime.

It is a super-2 number, since 2×1064553422012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106455342241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 720786 + ... + 855828.

It is an arithmetic number, because the mean of its divisors is an integer number (2679948180).

Almost surely, 2106455342201 is an apocalyptic number.

It is an amenable number.

106455342201 is a deficient number, since it is larger than the sum of its proper divisors (65061341319).

106455342201 is a wasteful number, since it uses less digits than its factorization.

106455342201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135146.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 106455342201 its reverse (102243554601), we get a palindrome (208698896802).

The spelling of 106455342201 in words is "one hundred six billion, four hundred fifty-five million, three hundred forty-two thousand, two hundred one".

Divisors: 1 3 13 17 29 39 41 51 87 123 221 377 493 533 663 697 1131 1189 1479 1599 2091 3567 6409 9061 15457 19227 20213 27183 46371 60639 135043 262769 405129 788307 1755559 2295731 3916247 5266677 5536763 6887193 11748741 16610289 29844503 50911211 66576199 71977919 89533509 94124971 152733633 160566127 199728597 215933757 282374913 481698381 865490587 1223624623 2087359651 2596471761 2729624159 3670873869 6262078953 8188872477 35485114067 106455342201