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112200012020106 = 23261159763986101
BaseRepresentation
bin11001100000101110011001…
…110111000011100110001010
3112201021012211202022000001200
4121200232121313003212022
5104201241111034120411
61034343550212325030
732430116615243643
oct3140563167034612
9481235752260050
10112200012020106
113282883781204a
1210701145013776
134a7b5534a2b8a
141d9c71c3206ca
15ce88a6c3ae56
hex660b99dc398a

112200012020106 has 48 divisors (see below), whose sum is σ = 247239994628328. Its totient is φ = 36763853616000.

The previous prime is 112200012020039. The next prime is 112200012020113. The reversal of 112200012020106 is 601020210002211.

It can be written as a sum of positive squares in 4 ways, for example, as 51086627595081 + 61113384425025 = 7147491^2 + 7817505^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30239545 + ... + 33746556.

Almost surely, 2112200012020106 is an apocalyptic number.

112200012020106 is an abundant number, since it is smaller than the sum of its proper divisors (135039982608222).

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

112200012020106 is a wasteful number, since it uses less digits than its factorization.

112200012020106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63987767 (or 63987764 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112200012020106 its reverse (601020210002211), we get a palindrome (713220222022317).

The spelling of 112200012020106 in words is "one hundred twelve trillion, two hundred billion, twelve million, twenty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 1597 3194 4791 9582 14373 28746 97417 194834 292251 584502 876753 1753506 63986101 127972202 191958303 383916606 575874909 1151749818 3903152161 7806304322 11709456483 23418912966 35128369449 70256738898 102185803297 204371606594 306557409891 613114819782 919672229673 1839344459346 6233334001117 12466668002234 18700002003351 37400004006702 56100006010053 112200012020106