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21011004000300 = 223521031237549691
BaseRepresentation
bin1001100011100000000010…
…11011100000100000101100
32202101122001222212001202110
410301300001123200200230
510223221014011002200
6112404153314324020
74265665160154306
oct461600133404054
982348058761673
1021011004000300
116770798003256
1224340a6889610
13b95438277952
14528d1bcd6976
152668276cbb50
hex131c016e082c

21011004000300 has 144 divisors (see below), whose sum is σ = 61431783725312. Its totient is φ = 5544041414400.

The previous prime is 21011004000253. The next prime is 21011004000313. The reversal of 21011004000300 is 300040011012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 37948455 + ... + 38498145.

Almost surely, 221011004000300 is an apocalyptic number.

21011004000300 is a gapful number since it is divisible by the number (20) 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 21011004000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30715891862656).

21011004000300 is an abundant number, since it is smaller than the sum of its proper divisors (40420779725012).

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

21011004000300 is a wasteful number, since it uses less digits than its factorization.

21011004000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551048 (or 551041 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21011004000300 its reverse (300040011012), we get a palindrome (21311044011312).

The spelling of 21011004000300 in words is "twenty-one trillion, eleven billion, four million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 618 1030 1236 1237 1545 2060 2474 2575 3090 3711 4948 5150 6180 6185 7422 7725 10300 12370 14844 15450 18555 24740 30900 30925 37110 61850 74220 92775 123700 127411 185550 254822 371100 382233 509644 549691 637055 764466 1099382 1274110 1528932 1649073 1911165 2198764 2548220 2748455 3185275 3298146 3822330 5496910 6370550 6596292 7644660 8245365 9555825 10993820 12741100 13742275 16490730 19111650 27484550 32981460 38223300 41226825 54969100 56618173 82453650 113236346 164907300 169854519 226472692 283090865 339709038 566181730 679418076 679967767 849272595 1132363460 1359935534 1415454325 1698545190 2039903301 2719871068 2830908650 3397090380 3399838835 4079806602 4246362975 5661817300 6799677670 8159613204 8492725950 10199516505 13599355340 16985451900 16999194175 20399033010 33998388350 40798066020 50997582525 67996776700 70036680001 101995165050 140073360002 203990330100 210110040003 280146720004 350183400005 420220080006 700366800010 840440160012 1050550200015 1400733600020 1750917000025 2101100400030 3501834000050 4202200800060 5252751000075 7003668000100 10505502000150 21011004000300