Search a number
-
+
102320100030 = 235431912631579
BaseRepresentation
bin101111101001011000…
…0001101001010111110
3100210002212022122011110
41133102300031022332
53134022421200110
6115001042502450
710251405333351
oct1372260151276
9323085278143
10102320100030
113a437035645
12179b6964a26
1398583a16b5
144d49242298
1529dcc7ba20
hex17d2c0d2be

102320100030 has 128 divisors (see below), whose sum is σ = 253715742720. Its totient is φ = 26393754240.

The previous prime is 102320100013. The next prime is 102320100061. The reversal of 102320100030 is 30001023201.

It is a happy number.

102320100030 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 = 102320099979 and 102320100015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64799781 + ... + 64801359.

It is an arithmetic number, because the mean of its divisors is an integer number (1982154240).

Almost surely, 2102320100030 is an apocalyptic number.

102320100030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102320100030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126857871360).

102320100030 is an abundant number, since it is smaller than the sum of its proper divisors (151395642690).

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

102320100030 is a wasteful number, since it uses less digits than its factorization.

102320100030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 102320100030 its reverse (30001023201), we get a palindrome (132321123231).

The spelling of 102320100030 in words is "one hundred two billion, three hundred twenty million, one hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 191 215 258 263 382 430 526 573 645 789 955 1146 1290 1315 1578 1579 1910 2630 2865 3158 3945 4737 5730 7890 7895 8213 9474 11309 15790 16426 22618 23685 24639 33927 41065 47370 49278 50233 56545 67854 67897 82130 100466 113090 123195 135794 150699 169635 203691 246390 251165 301398 301589 339270 339485 407382 415277 502330 603178 678970 753495 830554 904767 1018455 1245831 1506990 1507945 1809534 2036910 2076385 2160019 2491662 3015890 4152770 4320038 4523835 6229155 6480057 9047670 10800095 12458310 12960114 12968327 17856911 21600190 25936654 32400285 35713822 38904981 53570733 64800570 64841635 77809962 79317907 89284555 107141466 129683270 158635814 178569110 194524905 237953721 267853665 389049810 396589535 475907442 535707330 793179070 1189768605 2379537210 3410670001 6821340002 10232010003 17053350005 20464020006 34106700010 51160050015 102320100030