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106042142322 = 2329975908957
BaseRepresentation
bin110001011000010011…
…0101010111001110010
3101010201020222222022200
41202300212222321302
53214133242023242
6120414243044030
710442552223534
oct1426046527162
9333636888280
10106042142322
1140a77030056
1218675370616
139ccc54219c
1451bd6bd854
152b598e904c
hex18b09aae72

106042142322 has 24 divisors (see below), whose sum is σ = 229988463276. Its totient is φ = 35311921056.

The previous prime is 106042142303. The next prime is 106042142341. The reversal of 106042142322 is 223241240601.

106042142322 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 421 + 4 + 232 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (106042142303) and next prime (106042142341).

It can be written as a sum of positive squares in 2 ways, for example, as 100386951921 + 5655190401 = 316839^2 + 75201^2 .

It is a super-2 number, since 2×1060421423222 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2936533 + ... + 2972424.

Almost surely, 2106042142322 is an apocalyptic number.

106042142322 is an abundant number, since it is smaller than the sum of its proper divisors (123946320954).

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

106042142322 is a wasteful number, since it uses less digits than its factorization.

106042142322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909962 (or 5909959 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 106042142322 its reverse (223241240601), we get a palindrome (329283382923).

The spelling of 106042142322 in words is "one hundred six billion, forty-two million, one hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 997 1994 2991 5982 8973 17946 5908957 11817914 17726871 35453742 53180613 106361226 5891230129 11782460258 17673690387 35347380774 53021071161 106042142322