Search a number
-
+
110200321123100 = 225213234997386031
BaseRepresentation
bin11001000011101000000010…
…111111101010001100011100
3112110012001021212002012200122
4121003220002333222030130
5103421010224201414400
61030213154552414112
732132465455130525
oct3103500277521434
9473161255065618
10110200321123100
113212776a3a298a
12104396886a7338
134964acbca5ab0
141d2da1c93384c
15cb186ae69685
hex643a02fea31c

110200321123100 has 144 divisors (see below), whose sum is σ = 269265182592000. Its totient is φ = 38842245446400.

The previous prime is 110200321123051. The next prime is 110200321123103. The reversal of 110200321123100 is 1321123002011.

110200321123100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1102003211231002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110200321123103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11227085 + ... + 18613115.

Almost surely, 2110200321123100 is an apocalyptic number.

110200321123100 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 110200321123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134632591296000).

110200321123100 is an abundant number, since it is smaller than the sum of its proper divisors (159064861468900).

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

110200321123100 is a wasteful number, since it uses less digits than its factorization.

110200321123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7386580 (or 7386573 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 110200321123100 its reverse (1321123002011), we get a palindrome (111521444125111).

The spelling of 110200321123100 in words is "one hundred ten trillion, two hundred billion, three hundred twenty-one million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 499 575 598 650 998 1150 1196 1300 1495 1996 2300 2495 2990 4990 5980 6487 7475 9980 11477 12475 12974 14950 22954 24950 25948 29900 32435 45908 49900 57385 64870 114770 129740 149201 162175 229540 286925 298402 324350 573850 596804 648700 746005 1147700 1492010 2984020 3730025 7386031 7460050 14772062 14920100 29544124 36930155 73860310 96018403 147720620 169878713 184650775 192036806 339757426 369301550 384073612 480092015 679514852 738603100 849393565 960184030 1698787130 1920368060 2208423269 2400460075 3397574260 3685629469 4246967825 4416846538 4800920150 7371258938 8493935650 8833693076 9601840300 11042116345 14742517876 16987871300 18428147345 22084232690 36856294690 44168465380 47913183097 55210581725 73712589380 84769477787 92140736725 95826366194 110421163450 169538955574 184281473450 191652732388 220842326900 239565915485 339077911148 368562946900 423847388935 479131830970 847694777870 958263661940 1102003211231 1197829577425 1695389555740 2119236944675 2204006422462 2395659154850 4238473889350 4408012844924 4791318309700 5510016056155 8476947778700 11020032112310 22040064224620 27550080280775 55100160561550 110200321123100