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110023221120 = 2735149384589
BaseRepresentation
bin110011001110111100…
…1010001111110000000
3101111222201002201202120
41212131321101332000
53300311421033440
6122313255244240
710643322643341
oct1463571217600
9344881081676
10110023221120
114272a27051a
12193a6679680
13a4b526a507
14547a30a0c8
152cde182dd0
hex199de51f80

110023221120 has 128 divisors (see below), whose sum is σ = 353053620000. Its totient is φ = 29142540288.

The previous prime is 110023221073. The next prime is 110023221173. The reversal of 110023221120 is 21122320011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110023221120.

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 15 ways as a sum of consecutive naturals, for example, 93786 + ... + 478374.

Almost surely, 2110023221120 is an apocalyptic number.

110023221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110023221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176526810000).

110023221120 is an abundant number, since it is smaller than the sum of its proper divisors (243030398880).

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

110023221120 is a wasteful number, since it uses less digits than its factorization.

110023221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384760 (or 384748 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 110023221120 its reverse (21122320011), we get a palindrome (131145541131).

The spelling of 110023221120 in words is "one hundred ten billion, twenty-three million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 149 160 192 240 298 320 384 447 480 596 640 745 894 960 1192 1490 1788 1920 2235 2384 2980 3576 4470 4768 5960 7152 8940 9536 11920 14304 17880 19072 23840 28608 35760 47680 57216 71520 95360 143040 286080 384589 769178 1153767 1538356 1922945 2307534 3076712 3845890 4615068 5768835 6153424 7691780 9230136 11537670 12306848 15383560 18460272 23075340 24613696 30767120 36920544 46150680 49227392 57303761 61534240 73841088 92301360 114607522 123068480 147682176 171911283 184602720 229215044 246136960 286518805 343822566 369205440 458430088 573037610 687645132 738410880 859556415 916860176 1146075220 1375290264 1719112830 1833720352 2292150440 2750580528 3438225660 3667440704 4584300880 5501161056 6876451320 7334881408 9168601760 11002322112 13752902640 18337203520 22004644224 27505805280 36674407040 55011610560 110023221120