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110005223240 = 235112940121499
BaseRepresentation
bin110011001110011010…
…0100111111101001000
3101111221110020100022102
41212130310213331020
53300242314120430
6122311413412532
710643013653363
oct1463464477510
9344843210272
10110005223240
1142720098440
12193a063a148
13a4b1608493
145477b830da
152cdc7ca345
hex199cd27f48

110005223240 has 128 divisors (see below), whose sum is σ = 280033200000. Its totient is φ = 38524416000.

The previous prime is 110005223221. The next prime is 110005223257. The reversal of 110005223240 is 42322500011.

It is a super-2 number, since 2×1100052232402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5106011 + ... + 5127509.

It is an arithmetic number, because the mean of its divisors is an integer number (2187759375).

Almost surely, 2110005223240 is an apocalyptic number.

110005223240 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 110005223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140016600000).

110005223240 is an abundant number, since it is smaller than the sum of its proper divisors (170027976760).

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

110005223240 is a wasteful number, since it uses less digits than its factorization.

110005223240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21951 (or 21947 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 110005223240 its reverse (42322500011), we get a palindrome (152327723251).

The spelling of 110005223240 in words is "one hundred ten billion, five million, two hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 401 440 580 638 802 1160 1276 1595 1604 2005 2552 3190 3208 4010 4411 6380 8020 8822 11629 12760 16040 17644 21499 22055 23258 35288 42998 44110 46516 58145 85996 88220 93032 107495 116290 127919 171992 176440 214990 232580 236489 255838 429980 465160 472978 511676 623471 639595 859960 945956 1023352 1182445 1246942 1279190 1891912 2364890 2493884 2558380 3117355 4729780 4987768 5116760 6234710 6858181 8621099 9459560 12469420 13716362 17242198 24938840 27432724 34290905 34484396 43105495 54865448 68581810 68968792 86210990 94832089 137163620 172421980 189664178 250011871 274327240 344843960 379328356 474160445 500023742 758656712 948320890 1000047484 1250059355 1896641780 2000094968 2500118710 2750130581 3793283560 5000237420 5500261162 10000474840 11000522324 13750652905 22001044648 27501305810 55002611620 110005223240