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2110220222112 = 253237198031177
BaseRepresentation
bin11110101101010010111…
…011010011111010100000
321110201211212122021021200
4132231102323103322200
5234033212334101422
64253231034521200
7305313136635342
oct36552273237240
97421755567250
102110220222112
11743a37336042
122a0b84596200
13123cba578b02
14741c6ddb292
1539d595c62ac
hex1eb52ed3ea0

2110220222112 has 72 divisors (see below), whose sum is σ = 6163126321716. Its totient is φ = 684395744256.

The previous prime is 2110220222087. The next prime is 2110220222191. The reversal of 2110220222112 is 2112220220112.

It is a happy number.

2110220222112 is a `hidden beast` number, since 2 + 110 + 220 + 222 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2072321477136 + 37898744976 = 1439556^2 + 194676^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×21102202221122 (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 99004933 + ... + 99026244.

Almost surely, 22110220222112 is an apocalyptic number.

It is an amenable number.

2110220222112 is an abundant number, since it is smaller than the sum of its proper divisors (4052906099604).

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

2110220222112 is a wasteful number, since it uses less digits than its factorization.

2110220222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198031230 (or 198031219 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2110220222112 its reverse (2112220220112), we get a palindrome (4222440442224).

It can be divided in two parts, 2110220 and 222112, that added together give a palindrome (2332332).

The spelling of 2110220222112 in words is "two trillion, one hundred ten billion, two hundred twenty million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 198031177 396062354 594093531 792124708 1188187062 1584249416 1782280593 2376374124 3168498832 3564561186 4752748248 6336997664 7129122372 7327153549 9505496496 14258244744 14654307098 19010992992 21981460647 28516489488 29308614196 43962921294 57032978976 58617228392 65944381941 87925842588 117234456784 131888763882 175851685176 234468913568 263777527764 351703370352 527555055528 703406740704 1055110111056 2110220222112