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130322320100 = 22527534877213
BaseRepresentation
bin111100101011111010…
…0001100101011100100
3110110101101102210200022
41321113310030223210
54113400003220400
6135511431334312
712262336305050
oct1712764145344
9413341383608
10130322320100
11502a6608a85
1221310821398
13c39b8b8a9b
14644420cc60
1535cb2d0b85
hex1e57d0cae4

130322320100 has 144 divisors (see below), whose sum is σ = 330019377408. Its totient is φ = 43742799360.

The previous prime is 130322320057. The next prime is 130322320111. The reversal of 130322320100 is 1023223031.

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, 18064094 + ... + 18071306.

It is an arithmetic number, because the mean of its divisors is an integer number (2291801232).

Almost surely, 2130322320100 is an apocalyptic number.

130322320100 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 130322320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165009688704).

130322320100 is an abundant number, since it is smaller than the sum of its proper divisors (199697057308).

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

130322320100 is a wasteful number, since it uses less digits than its factorization.

130322320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7774 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 130322320100 its reverse (1023223031), we get a palindrome (131345543131).

The spelling of 130322320100 in words is "one hundred thirty billion, three hundred twenty-two million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 70 100 106 140 175 212 265 350 371 487 530 700 742 974 1060 1325 1484 1855 1948 2435 2650 3409 3710 4870 5300 6818 7213 7420 9275 9740 12175 13636 14426 17045 18550 24350 25811 28852 34090 36065 37100 48700 50491 51622 68180 72130 85225 100982 103244 129055 144260 170450 180325 180677 201964 252455 258110 340900 360650 361354 382289 504910 516220 645275 721300 722708 764578 903385 1009820 1262275 1290550 1529156 1806770 1911445 2524550 2581100 2676023 3512731 3613540 3822890 4516925 5049100 5352046 7025462 7645780 9033850 9557225 10704092 13380115 14050924 17563655 18067700 19114450 24589117 26760230 35127310 38228900 49178234 53520460 66900575 70254620 87818275 98356468 122945585 133801150 175636550 186174743 245891170 267602300 351273100 372349486 491782340 614727925 744698972 930873715 1229455850 1303223201 1861747430 2458911700 2606446402 3723494860 4654368575 5212892804 6516116005 9308737150 13032232010 18617474300 26064464020 32580580025 65161160050 130322320100