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10017112122 = 2322373331451
BaseRepresentation
bin10010101010001000…
…10000000000111010
3221212002222000112200
421111010100000322
5131003340041442
64333553251030
7503143022343
oct112504200072
927762860480
1010017112122
114280442666
121b36863a76
13c383cc2a4
146b05390ca
153d963d34c
hex25511003a

10017112122 has 48 divisors (see below), whose sum is σ = 22957691328. Its totient is φ = 3150100800.

The previous prime is 10017112093. The next prime is 10017112187. The reversal of 10017112122 is 22121171001.

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 = 10017112095 and 10017112104.

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 23 ways as a sum of consecutive naturals, for example, 135504 + ... + 195947.

It is an arithmetic number, because the mean of its divisors is an integer number (478285236).

Almost surely, 210017112122 is an apocalyptic number.

10017112122 is an abundant number, since it is smaller than the sum of its proper divisors (12940579206).

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

10017112122 is a wasteful number, since it uses less digits than its factorization.

10017112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331555 (or 331552 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 10017112122 its reverse (22121171001), we get a palindrome (32138283123).

The spelling of 10017112122 in words is "ten billion, seventeen million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 73 138 146 207 219 414 438 657 1314 1679 3358 5037 10074 15111 30222 331451 662902 994353 1988706 2983059 5966118 7623373 15246746 22870119 24195923 45740238 48391846 68610357 72587769 137220714 145175538 217763307 435526614 556506229 1113012458 1669518687 3339037374 5008556061 10017112122