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101040430300 = 2252101113223397
BaseRepresentation
bin101111000011001111…
…0101001110011011100
3100122210200101200022021
41132012132221303130
53123412322232200
6114230051025524
710204606325665
oct1360636516334
9318720350267
10101040430300
113993a763857
12176ba29b2a4
1396b3234284
144c672d436c
15296575541a
hex17867a9cdc

101040430300 has 144 divisors (see below), whose sum is σ = 224955101952. Its totient is φ = 39384576000.

The previous prime is 101040430247. The next prime is 101040430327. The reversal of 101040430300 is 3034040101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254509702 + ... + 254510098.

It is an arithmetic number, because the mean of its divisors is an integer number (1562188208).

Almost surely, 2101040430300 is an apocalyptic number.

101040430300 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 101040430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112477550976).

101040430300 is an abundant number, since it is smaller than the sum of its proper divisors (123914671652).

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

101040430300 is a wasteful number, since it uses less digits than its factorization.

101040430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 841 counting only the distinct ones).

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

Adding to 101040430300 its reverse (3034040101), we get a palindrome (104074470401).

The spelling of 101040430300 in words is "one hundred one billion, forty million, four hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 113 202 223 226 397 404 446 452 505 565 794 892 1010 1115 1130 1588 1985 2020 2230 2260 2525 2825 3970 4460 5050 5575 5650 7940 9925 10100 11150 11300 11413 19850 22300 22523 22826 25199 39700 40097 44861 45046 45652 50398 57065 80194 88531 89722 90092 100796 112615 114130 125995 160388 177062 179444 200485 224305 225230 228260 251990 285325 354124 400970 442655 448610 450460 503980 563075 570650 629975 801940 885310 897220 1002425 1121525 1126150 1141300 1259950 1770620 2004850 2213275 2243050 2252300 2519900 2545099 4009700 4426550 4486100 4530961 5090198 8853100 8941631 9061922 10004003 10180396 12725495 17883262 18123844 20008006 22654805 25450990 35766524 40016012 44708155 45309610 50020015 50901980 63627475 89416310 90619220 100040030 113274025 127254950 178832620 200080060 223540775 226548050 250100075 254509900 447081550 453096100 500200150 894163100 1000400300 1010404303 2020808606 4041617212 5052021515 10104043030 20208086060 25260107575 50520215150 101040430300