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110312421040 = 2457921092027
BaseRepresentation
bin110011010111100100…
…0011111011010110000
3101112201212021121110201
41212233020133122300
53301404434433130
6122402110004544
710653434051653
oct1465710373260
9345655247421
10110312421040
1142868538718
12194674a6754
13a530156523
1454a68ab89a
152d0975bbca
hex19af21f6b0

110312421040 has 120 divisors (see below), whose sum is σ = 262276494480. Its totient is φ = 43145436672.

The previous prime is 110312420987. The next prime is 110312421049. The reversal of 110312421040 is 40124213011.

It is a junction number, because it is equal to n+sod(n) for n = 110312420999 and 110312421017.

It is not an unprimeable number, because it can be changed into a prime (110312421049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54420507 + ... + 54422533.

It is an arithmetic number, because the mean of its divisors is an integer number (2185637454).

Almost surely, 2110312421040 is an apocalyptic number.

110312421040 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 110312421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131138247240).

110312421040 is an abundant number, since it is smaller than the sum of its proper divisors (151964073440).

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

110312421040 is a wasteful number, since it uses less digits than its factorization.

110312421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 110312421040 its reverse (40124213011), we get a palindrome (150436634051).

The spelling of 110312421040 in words is "one hundred ten billion, three hundred twelve million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 109 158 218 316 395 436 545 632 790 872 1090 1264 1580 1744 2027 2180 3160 4054 4360 6241 6320 8108 8611 8720 10135 12482 16216 17222 20270 24964 31205 32432 34444 40540 43055 49928 62410 68888 81080 86110 99856 124820 137776 160133 162160 172220 220943 249640 320266 344440 441886 499280 640532 680269 688880 800665 883772 1104715 1281064 1360538 1601330 1767544 2209430 2562128 2721076 3202660 3401345 3535088 4418860 5442152 6405320 6802690 8837720 10884304 12650507 12810640 13605380 17454497 17675440 25301014 27210760 34908994 50602028 54421520 63252535 69817988 87272485 101204056 126505070 139635976 174544970 202408112 253010140 279271952 349089940 506020280 698179880 1012040560 1378905263 1396359760 2757810526 5515621052 6894526315 11031242104 13789052630 22062484208 27578105260 55156210520 110312421040