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106013322 = 23213144959
BaseRepresentation
bin1100101000110…
…10001010001010
321101111000221100
412110122022022
5204114411242
614304122230
72425045512
oct624321212
9241430840
10106013322
1154929418
122b606376
1318c6a89c
1410118842
15949154c
hex651a28a

106013322 has 24 divisors (see below), whose sum is σ = 231454080. Its totient is φ = 35067240.

The previous prime is 106013317. The next prime is 106013333. The reversal of 106013322 is 223310601.

106013322 is a `hidden beast` number, since 10 + 601 + 33 + 22 = 666.

It is a super-2 number, since 2×1060133222 = 22477648882951368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106013295 and 106013304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20122 + ... + 24837.

It is an arithmetic number, because the mean of its divisors is an integer number (9643920).

Almost surely, 2106013322 is an apocalyptic number.

106013322 is an abundant number, since it is smaller than the sum of its proper divisors (125440758).

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

106013322 is a wasteful number, since it uses less digits than its factorization.

106013322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45098 (or 45095 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106013322 is about 10296.2770941734. The cubic root of 106013322 is about 473.2821747041.

Adding to 106013322 its reverse (223310601), we get a palindrome (329323923).

The spelling of 106013322 in words is "one hundred six million, thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 131 262 393 786 1179 2358 44959 89918 134877 269754 404631 809262 5889629 11779258 17668887 35337774 53006661 106013322