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106242563101 = 337131516631
BaseRepresentation
bin110001011110010001…
…1001101110000011101
3101011020020010101221111
41202330203031300131
53220041044004401
6120450202502021
710450534612633
oct1427443156035
9334206111844
10106242563101
114106a180164
1218710504911
13a031c15b6c
1451dc171353
152b6c2d7e51
hex18bc8cdc1d

106242563101 has 4 divisors (see below), whose sum is σ = 106274083104. Its totient is φ = 106211043100.

The previous prime is 106242563081. The next prime is 106242563153. The reversal of 106242563101 is 101365242601.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 106242563101 - 225 = 106209008669 is a prime.

It is a super-2 number, since 2×1062425631012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106242563201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15754945 + ... + 15761686.

It is an arithmetic number, because the mean of its divisors is an integer number (26568520776).

Almost surely, 2106242563101 is an apocalyptic number.

It is an amenable number.

106242563101 is a deficient number, since it is larger than the sum of its proper divisors (31520003).

106242563101 is an equidigital number, since it uses as much as digits as its factorization.

106242563101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31520002.

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 106242563101 in words is "one hundred six billion, two hundred forty-two million, five hundred sixty-three thousand, one hundred one".

Divisors: 1 3371 31516631 106242563101