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100422032100 = 223521367384317
BaseRepresentation
bin101110110000110011…
…1101001101011100100
3100121012120202210110020
41131201213221223210
53121131020011400
6114044440355140
710153360121535
oct1354147515344
9317176683406
10100422032100
113965268a065
1217567175ab0
139615096390
144c0911c68c
15292b3012a0
hex17619e9ae4

100422032100 has 144 divisors (see below), whose sum is σ = 317575798848. Its totient is φ = 24350261760.

The previous prime is 100422032093. The next prime is 100422032111. The reversal of 100422032100 is 1230224001.

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 100422032100.

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, 69142 + ... + 453458.

It is an arithmetic number, because the mean of its divisors is an integer number (2205387492).

Almost surely, 2100422032100 is an apocalyptic number.

100422032100 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 100422032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158787899424).

100422032100 is an abundant number, since it is smaller than the sum of its proper divisors (217153766748).

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

100422032100 is a wasteful number, since it uses less digits than its factorization.

100422032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384414 (or 384407 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100422032100 its reverse (1230224001), we get a palindrome (101652256101).

The spelling of 100422032100 in words is "one hundred billion, four hundred twenty-two million, thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 67 75 78 100 130 134 150 156 195 201 260 268 300 325 335 390 402 650 670 780 804 871 975 1005 1300 1340 1675 1742 1950 2010 2613 3350 3484 3900 4020 4355 5025 5226 6700 8710 10050 10452 13065 17420 20100 21775 26130 43550 52260 65325 87100 130650 261300 384317 768634 1152951 1537268 1921585 2305902 3843170 4611804 4996121 5764755 7686340 9607925 9992242 11529510 14988363 19215850 19984484 23059020 24980605 25749239 28823775 29976726 38431700 49961210 51498478 57647550 59953452 74941815 77247717 99922420 102996956 115295100 124903025 128746195 149883630 154495434 249806050 257492390 299767260 308990868 334740107 374709075 386238585 499612100 514984780 643730975 669480214 749418150 772477170 1004220321 1287461950 1338960428 1498836300 1544954340 1673700535 1931192925 2008440642 2574923900 3347401070 3862385850 4016881284 5021101605 6694802140 7724771700 8368502675 10042203210 16737005350 20084406420 25105508025 33474010700 50211016050 100422032100