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10112111212122 = 23462420439581
BaseRepresentation
bin1001001100100110100011…
…0010111111011001011010
31022210201010102020220210000
42103021220302333121122
52311134100432241442
633301234553233430
72062401354050163
oct223115062773132
938721112226700
1010112111212122
113249582180037
121173965702876
1358474cb6a76a
1426d60087a76a
1512808c569d4c
hex93268cbf65a

10112111212122 has 20 divisors (see below), whose sum is σ = 22658619568266. Its totient is φ = 3370703737320.

The previous prime is 10112111212103. The next prime is 10112111212123. The reversal of 10112111212122 is 22121211121101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10103682319641 + 8428892481 = 3178629^2 + 91809^2 .

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 = 10112111212095 and 10112111212104.

It is not an unprimeable number, because it can be changed into a prime (10112111212123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 31210219629 + ... + 31210219952.

Almost surely, 210112111212122 is an apocalyptic number.

10112111212122 is an abundant number, since it is smaller than the sum of its proper divisors (12546508356144).

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

10112111212122 is an equidigital number, since it uses as much as digits as its factorization.

10112111212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62420439595 (or 62420439586 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10112111212122 its reverse (22121211121101), we get a palindrome (32233322333223).

The spelling of 10112111212122 in words is "ten trillion, one hundred twelve billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 62420439581 124840879162 187261318743 374522637486 561783956229 1123567912458 1685351868687 3370703737374 5056055606061 10112111212122