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101112010112 = 275698771583
BaseRepresentation
bin101111000101010111…
…1101101010110000000
3100122222200002022100102
41132022233231112000
53124034133310422
6114241125141532
710206435622331
oct1361257552600
9318880068312
10101112010112
1139977103823
121771a25a8a8
1396c5006ba9
144c72a08288
15296bb94192
hex178abed580

101112010112 has 64 divisors (see below), whose sum is σ = 202145803200. Its totient is φ = 50377764864.

The previous prime is 101112010091. The next prime is 101112010123. The reversal of 101112010112 is 211010211101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 101112010093 and 101112010102.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 63872873 + ... + 63874455.

It is an arithmetic number, because the mean of its divisors is an integer number (3158528175).

Almost surely, 2101112010112 is an apocalyptic number.

It is an amenable number.

101112010112 is a deficient number, since it is larger than the sum of its proper divisors (101033793088).

101112010112 is an equidigital number, since it uses as much as digits as its factorization.

101112010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101112010112 its reverse (211010211101), we get a palindrome (312122221213).

The spelling of 101112010112 in words is "one hundred one billion, one hundred twelve million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 569 877 1138 1583 1754 2276 3166 3508 4552 6332 7016 9104 12664 14032 18208 25328 28064 36416 50656 56128 72832 101312 112256 202624 499013 900727 998026 1388291 1801454 1996052 2776582 3602908 3992104 5553164 7205816 7984208 11106328 14411632 15968416 22212656 28823264 31936832 44425312 57646528 63873664 88850624 115293056 177701248 789937579 1579875158 3159750316 6319500632 12639001264 25278002528 50556005056 101112010112