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110122101201112 = 2371113127710768607
BaseRepresentation
bin11001000010011111001100…
…101110010101100011011000
3112102220120101120111110122221
4121002133030232111203120
5103413220030401413422
61030113221144153424
732124026216560660
oct3102371456254330
9472816346443587
10110122101201112
11320a7580283860
1210426498a68874
13495a6148a72a0
141d29d1c3671a0
15cae7dddbb3c7
hex6427ccb958d8

110122101201112 has 128 divisors (see below), whose sum is σ = 277447585443840. Its totient is φ = 39573334817280.

The previous prime is 110122101201103. The next prime is 110122101201149. The reversal of 110122101201112 is 211102101221011.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4841913 + ... + 15610519.

It is an arithmetic number, because the mean of its divisors is an integer number (2167559261280).

Almost surely, 2110122101201112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110122101201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138723792721920).

110122101201112 is an abundant number, since it is smaller than the sum of its proper divisors (167325484242728).

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

110122101201112 is a wasteful number, since it uses less digits than its factorization.

110122101201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10769921 (or 10769917 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 110122101201112 its reverse (211102101221011), we get a palindrome (321224202422123).

The spelling of 110122101201112 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred one million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 1277 2002 2554 4004 5108 8008 8939 10216 14047 16601 17878 28094 33202 35756 56188 66404 71512 98329 112376 116207 132808 182611 196658 232414 365222 393316 464828 730444 786632 929656 1278277 1460888 2556554 5113108 10226216 10768607 21537214 43074428 75380249 86148856 118454677 139991891 150760498 236909354 279983782 301520996 473818708 559967564 603041992 829182739 947637416 979943237 1119935128 1539910801 1658365478 1959886474 3079821602 3316730956 3919772948 6159643204 6633461912 7839545896 10779375607 12319286408 13751511139 21558751214 27503022278 43117502428 55006044556 86235004856 96260577973 110012089112 151266622529 178769644807 192521155946 302533245058 357539289614 385042311892 605066490116 715078579228 770084623784 1058866357703 1210132980232 1251387513649 1430157158456 1966466092877 2117732715406 2502775027298 3932932185754 4235465430812 5005550054596 7865864371508 8470930861624 10011100109192 13765262650139 15731728743016 27530525300278 55061050600556 110122101201112