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110027155840 = 27573501217
BaseRepresentation
bin110011001111000100…
…0010010100110000000
3101111222222111122011221
41212132020102212000
53300313422441330
6122313515444424
710643401252000
oct1463610224600
9344888448157
10110027155840
1142731508758
12193a7a56714
13a4b6017454
14547aa52000
152cde6adb7a
hex199e212980

110027155840 has 128 divisors (see below), whose sum is σ = 306745416000. Its totient is φ = 37723521024.

The previous prime is 110027155831. The next prime is 110027155877. The reversal of 110027155840 is 48551720011.

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

It is a super-2 number, since 2×1100271558402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110027155796 and 110027155805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31089 + ... + 470128.

Almost surely, 2110027155840 is an apocalyptic number.

110027155840 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 110027155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153372708000).

110027155840 is an abundant number, since it is smaller than the sum of its proper divisors (196718260160).

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

110027155840 is an frugal number, since it uses more digits than its factorization.

110027155840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501257 (or 501231 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 34.

Adding to 110027155840 its reverse (48551720011), we get a palindrome (158578875851).

The spelling of 110027155840 in words is "one hundred ten billion, twenty-seven million, one hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 343 392 448 490 560 640 686 784 896 980 1120 1372 1568 1715 1960 2240 2744 3136 3430 3920 4480 5488 6272 6860 7840 10976 13720 15680 21952 27440 31360 43904 54880 109760 219520 501217 1002434 2004868 2506085 3508519 4009736 5012170 7017038 8019472 10024340 14034076 16038944 17542595 20048680 24559633 28068152 32077888 35085190 40097360 49119266 56136304 64155776 70170380 80194720 98238532 112272608 122798165 140340760 160389440 171917431 196477064 224545216 245596330 280681520 320778880 343834862 392954128 449090432 491192660 561363040 687669724 785908256 859587155 982385320 1122726080 1375339448 1571816512 1719174310 1964770640 2245452160 2750678896 3143633024 3438348620 3929541280 5501357792 6876697240 7859082560 11002715584 13753394480 15718165120 22005431168 27506788960 55013577920 110027155840