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1230401324100 = 22352132971106189
BaseRepresentation
bin10001111001111001101…
…000100100010001000100
311100121212210011101112010
4101321321220210101010
5130124330214332400
62341123310254220
7154615330460004
oct21717150442104
94317783141463
101230401324100
114348a051a933
1217a562ab7370
138c045b65c90
14437a1da0004
1522013b8a450
hex11e79a24444

1230401324100 has 144 divisors (see below), whose sum is σ = 3835130855360. Its totient is φ = 302763225600.

The previous prime is 1230401324099. The next prime is 1230401324111. The reversal of 1230401324100 is 14231040321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11533806 + ... + 11639994.

Almost surely, 21230401324100 is an apocalyptic number.

1230401324100 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 1230401324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917565427680).

1230401324100 is an abundant number, since it is smaller than the sum of its proper divisors (2604729531260).

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

1230401324100 is a wasteful number, since it uses less digits than its factorization.

1230401324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109190 (or 109183 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1230401324100 its reverse (14231040321), we get a palindrome (1244632364421).

The spelling of 1230401324100 in words is "one trillion, two hundred thirty billion, four hundred one million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 2971 3900 5942 8913 11884 14855 17826 29710 35652 38623 44565 59420 74275 77246 89130 106189 115869 148550 154492 178260 193115 212378 222825 231738 297100 318567 386230 424756 445650 463476 530945 579345 637134 772460 891300 965575 1061890 1158690 1274268 1380457 1592835 1931150 2123780 2317380 2654725 2760914 2896725 3185670 3862300 4141371 5309450 5521828 5793450 6371340 6902285 7964175 8282742 10618900 11586900 13804570 15928350 16565484 20706855 27609140 31856700 34511425 41413710 69022850 82827420 103534275 138045700 207068550 315487519 414137100 630975038 946462557 1261950076 1577437595 1892925114 3154875190 3785850228 4101337747 4732312785 6309750380 7887187975 8202675494 9464625570 12304013241 15774375950 16405350988 18929251140 20506688735 23661563925 24608026482 31548751900 41013377470 47323127850 49216052964 61520066205 82026754940 94646255700 102533443675 123040132410 205066887350 246080264820 307600331025 410133774700 615200662050 1230401324100