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19990034330100 = 223523116131332589
BaseRepresentation
bin1001000101110010010101…
…11001010011000111110100
32121210000202212022000120120
410202321022321103013310
510110004042242030400
6110303143415131540
74132142454151452
oct442711271230764
977700685260516
1019990034330100
1164077a927080a
1222aa252073bb0
13b2008a756443
144d17468b39d2
15249ec0009ca0
hex122e4ae531f4

19990034330100 has 144 divisors (see below), whose sum is σ = 59740628021760. Its totient is φ = 5155516454400.

The previous prime is 19990034330099. The next prime is 19990034330111. The reversal of 19990034330100 is 103343009991.

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, 14334606 + ... + 15667194.

Almost surely, 219990034330100 is an apocalyptic number.

19990034330100 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 19990034330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29870314010880).

19990034330100 is an abundant number, since it is smaller than the sum of its proper divisors (39750593691660).

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

19990034330100 is a wasteful number, since it uses less digits than its factorization.

19990034330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334250 (or 1334243 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The spelling of 19990034330100 in words is "nineteen trillion, nine hundred ninety billion, thirty-four million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1613 1860 2325 3100 3226 4650 4839 6452 8065 9300 9678 16130 19356 24195 32260 40325 48390 50003 80650 96780 100006 120975 150009 161300 200012 241950 250015 300018 483900 500030 600036 750045 1000060 1250075 1332589 1500090 2500150 2665178 3000180 3750225 3997767 5000300 5330356 6662945 7500450 7995534 13325890 15000900 15991068 19988835 26651780 33314725 39977670 41310259 66629450 79955340 82620518 99944175 123930777 133258900 165241036 199888350 206551295 247861554 399776700 413102590 495723108 619653885 826205180 1032756475 1239307770 2065512950 2149466057 2478615540 3098269425 4131025900 4298932114 6196538850 6448398171 8597864228 10747330285 12393077700 12896796342 21494660570 25793592684 32241990855 42989321140 53736651425 64483981710 66633447767 107473302850 128967963420 133266895534 161209954275 199900343301 214946605700 266533791068 322419908550 333167238835 399800686602 644839817100 666334477670 799601373204 999501716505 1332668955340 1665836194175 1999003433010 3331672388350 3998006866020 4997508582525 6663344776700 9995017165050 19990034330100