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30322310100 = 223521729205019
BaseRepresentation
bin11100001111010110…
…011011101111010100
32220021012202221201020
4130033112123233110
5444100002410400
621532504201140
72122262245305
oct341726335724
986235687636
1030322310100
1111950176415
125a62a691b0
132b230a4934
1416791887ac
15bc70932a0
hex70f59bbd4

30322310100 has 144 divisors (see below), whose sum is σ = 96096974400. Its totient is φ = 7347845120.

The previous prime is 30322310063. The next prime is 30322310143. The reversal of 30322310100 is 101322303.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30322310100.

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, 45391 + ... + 250409.

It is an arithmetic number, because the mean of its divisors is an integer number (667340100).

Almost surely, 230322310100 is an apocalyptic number.

30322310100 is a gapful number since it is divisible by the number (30) 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 30322310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48048487200).

30322310100 is an abundant number, since it is smaller than the sum of its proper divisors (65774664300).

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

30322310100 is a wasteful number, since it uses less digits than its factorization.

30322310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205082 (or 205075 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30322310100 its reverse (101322303), we get a palindrome (30423632403).

It can be divided in two parts, 3032 and 2310100, that added together give a palindrome (2313132).

The spelling of 30322310100 in words is "thirty billion, three hundred twenty-two million, three hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 29 30 34 50 51 58 60 68 75 85 87 100 102 116 145 150 170 174 204 255 290 300 340 348 425 435 493 510 580 725 850 870 986 1020 1275 1450 1479 1700 1740 1972 2175 2465 2550 2900 2958 4350 4930 5100 5916 7395 8700 9860 12325 14790 24650 29580 36975 49300 73950 147900 205019 410038 615057 820076 1025095 1230114 2050190 2460228 3075285 3485323 4100380 5125475 5945551 6150570 6970646 10250950 10455969 11891102 12301140 13941292 15376425 17426615 17836653 20501900 20911938 23782204 29727755 30752850 34853230 35673306 41823876 52279845 59455510 61505700 69706460 71346612 87133075 89183265 101074367 104559690 118911020 148638775 174266150 178366530 202148734 209119380 261399225 297277550 303223101 348532300 356733060 404297468 445916325 505371835 522798450 594555100 606446202 891832650 1010743670 1045596900 1212892404 1516115505 1783665300 2021487340 2526859175 3032231010 5053718350 6064462020 7580577525 10107436700 15161155050 30322310100