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100314300040 = 235199115110949
BaseRepresentation
bin101110101101100110…
…0101011111010001000
3100120221002001102211221
41131123030223322020
53120420430100130
6114030031331424
710150611324103
oct1353314537210
9316832042757
10100314300040
11395a78973a9
1217537080b74
1395c89763b6
144bd8ab773a
152921b2087a
hex175b32be88

100314300040 has 64 divisors (see below), whose sum is σ = 227059200000. Its totient is φ = 39885753600.

The previous prime is 100314300001. The next prime is 100314300041. The reversal of 100314300040 is 40003413001.

100314300040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100314299987 and 100314300023.

It is not an unprimeable number, because it can be changed into a prime (100314300041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9156486 + ... + 9167434.

It is an arithmetic number, because the mean of its divisors is an integer number (3547800000).

Almost surely, 2100314300040 is an apocalyptic number.

100314300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100314300040 is an abundant number, since it is smaller than the sum of its proper divisors (126744899960).

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

100314300040 is a wasteful number, since it uses less digits than its factorization.

100314300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12310 (or 12306 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100314300040 its reverse (40003413001), we get a palindrome (140317713041).

The spelling of 100314300040 in words is "one hundred billion, three hundred fourteen million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 199 398 796 995 1151 1592 1990 2302 3980 4604 5755 7960 9208 10949 11510 21898 23020 43796 46040 54745 87592 109490 218980 229049 437960 458098 916196 1145245 1832392 2178851 2290490 4357702 4580980 8715404 9161960 10894255 12602299 17430808 21788510 25204598 43577020 50409196 63011495 87154040 100818392 126022990 252045980 504091960 2507857501 5015715002 10031430004 12539287505 20062860008 25078575010 50157150020 100314300040