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110066213620 = 225113180919949
BaseRepresentation
bin110011010000001110…
…1010010001011110100
3101112002200222222101101
41212200131102023310
53300403422313440
6122321432535444
710644354244036
oct1464035221364
9345080888341
10110066213620
1142751565410
12193b8b51584
13a4c114116c
145481cdbc56
152ce2d2669a
hex19a07522f4

110066213620 has 96 divisors (see below), whose sum is σ = 260620416000. Its totient is φ = 38683161600.

The previous prime is 110066213617. The next prime is 110066213629. The reversal of 110066213620 is 26312660011.

It is a super-2 number, since 2×1100662136202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110066213629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5507406 + ... + 5527354.

It is an arithmetic number, because the mean of its divisors is an integer number (2714796000).

Almost surely, 2110066213620 is an apocalyptic number.

110066213620 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 110066213620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130310208000).

110066213620 is an abundant number, since it is smaller than the sum of its proper divisors (150554202380).

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

110066213620 is a wasteful number, since it uses less digits than its factorization.

110066213620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20809 (or 20807 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 110066213620 its reverse (26312660011), we get a palindrome (136378873631).

The spelling of 110066213620 in words is "one hundred ten billion, sixty-six million, two hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 809 1364 1618 1705 3236 3410 4045 6820 8090 8899 16180 17798 19949 25079 35596 39898 44495 50158 79796 88990 99745 100316 125395 177980 199490 219439 250790 275869 398980 438878 501580 551738 618419 877756 1097195 1103476 1236838 1379345 2194390 2473676 2758690 3092095 4388780 5517380 6184190 6802609 12368380 13605218 16138741 27210436 32277482 34013045 64554964 68026090 80693705 136052180 161387410 177526151 322774820 355052302 500300971 710104604 887630755 1000601942 1775261510 2001203884 2501504855 3550523020 5003009710 5503310681 10006019420 11006621362 22013242724 27516553405 55033106810 110066213620