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106052230152 = 233411211632
BaseRepresentation
bin110001011000100110…
…1001001110000001000
3101010201221222111020000
41202301031021300020
53214143332331102
6120415243203000
710443034040241
oct1426115116010
9333657874200
10106052230152
1140a817a0200
1218678816460
13a001664a0b
1451c0b87cc8
152b5a73d01c
hex18b1349c08

106052230152 has 180 divisors, whose sum is σ = 326784377535. Its totient is φ = 32109406560.

The previous prime is 106052230139. The next prime is 106052230171. The reversal of 106052230152 is 251032250601.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

106052230152 is a `hidden beast` number, since 1 + 0 + 60 + 522 + 30 + 1 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53026115076 + 53026115076 = 230274^2 + 230274^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=230274.

It is a super-2 number, since 2×1060522301522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 91187923 + ... + 91189085.

Almost surely, 2106052230152 is an apocalyptic number.

106052230152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106052230152

106052230152 is an abundant number, since it is smaller than the sum of its proper divisors (220732147383).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106052230152 is an equidigital number, since it uses as much as digits as its factorization.

106052230152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 106052230152 its reverse (251032250601), we get a palindrome (357084480753).

The spelling of 106052230152 in words is "one hundred six billion, fifty-two million, two hundred thirty thousand, one hundred fifty-two".