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106020220163 = 111317143930307
BaseRepresentation
bin110001010111101001…
…1000010110100000011
3101010122201202012202212
41202233103002310003
53214112134021123
6120412141132335
710442165000534
oct1425723026403
9333581665685
10106020220163
1140a65717670
1218669b5a0ab
139cc7b37bb0
1451ba81468b
152b57a18878
hex18af4c2d03

106020220163 has 32 divisors (see below), whose sum is σ = 131978004480. Its totient is φ = 83673653760.

The previous prime is 106020220157. The next prime is 106020220171. The reversal of 106020220163 is 361022020601.

It is a cyclic number.

It is not a de Polignac number, because 106020220163 - 222 = 106016025859 is a prime.

It is a super-2 number, since 2×1060202201632 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106020220123) 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 31 ways as a sum of consecutive naturals, for example, 3483056 + ... + 3513362.

It is an arithmetic number, because the mean of its divisors is an integer number (4124312640).

Almost surely, 2106020220163 is an apocalyptic number.

106020220163 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106020220163 is a deficient number, since it is larger than the sum of its proper divisors (25957784317).

106020220163 is a wasteful number, since it uses less digits than its factorization.

106020220163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31787.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 106020220163 its reverse (361022020601), we get a palindrome (467042240764).

The spelling of 106020220163 in words is "one hundred six billion, twenty million, two hundred twenty thousand, one hundred sixty-three".

Divisors: 1 11 13 17 143 187 221 1439 2431 15829 18707 24463 30307 205777 269093 318019 333377 393991 515219 3498209 4333901 5667409 6697847 43611773 73676317 479729503 566953049 741400141 6236483539 8155401551 9638201833 106020220163