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110222100012 = 2233713710871667
BaseRepresentation
bin110011010100110111…
…1111100011000101100
3101112111120022211022110
41212221233330120230
53301213324200022
6122345122044020
710651256251233
oct1465157743054
9345446284273
10110222100012
1142821558142
12194411a9610
13a51752142b
1454988b9b1a
152d0186a00c
hex19a9bfc62c

110222100012 has 96 divisors (see below), whose sum is σ = 266468364288. Its totient is φ = 35432861184.

The previous prime is 110222099971. The next prime is 110222100019. The reversal of 110222100012 is 210001222011.

It is a super-2 number, since 2×1102221000122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (110222100019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66119203 + ... + 66120869.

It is an arithmetic number, because the mean of its divisors is an integer number (2775712128).

Almost surely, 2110222100012 is an apocalyptic number.

110222100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110222100012 is an abundant number, since it is smaller than the sum of its proper divisors (156246264276).

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

110222100012 is a wasteful number, since it uses less digits than its factorization.

110222100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110222100012 its reverse (210001222011), we get a palindrome (320223322023).

The spelling of 110222100012 in words is "one hundred ten billion, two hundred twenty-two million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 37 74 111 137 148 222 274 411 444 548 822 1087 1644 1667 2174 3261 3334 4348 5001 5069 6522 6668 10002 10138 13044 15207 20004 20276 30414 40219 60828 61679 80438 120657 123358 148919 160876 185037 228379 241314 246716 297838 370074 446757 456758 482628 595676 685137 740148 893514 913516 1370274 1787028 1812029 2740548 3624058 5436087 5510003 7248116 8450023 10872174 11020006 16530009 16900046 21744348 22040012 25350069 33060018 33800092 50700138 66120036 67045073 101400276 134090146 201135219 248247973 268180292 402270438 496495946 744743919 804540876 992991892 1489487838 2978975676 9185175001 18370350002 27555525003 36740700004 55111050006 110222100012