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2021332213300 = 2252178291434281
BaseRepresentation
bin11101011010100000110…
…010011101111000110100
321011020102010011120022011
4131122200302131320310
5231104142021311200
64144330500214004
7266015332216531
oct35324062357064
97136363146264
102021332213300
1170a27337a434
122878b809a304
131187c2c454aa
146db93a7dd88
15378a5b9d5ba
hex1d6a0c9de34

2021332213300 has 72 divisors (see below), whose sum is σ = 4649913558360. Its totient is φ = 760053657600.

The previous prime is 2021332213267. The next prime is 2021332213319. The reversal of 2021332213300 is 33122331202.

It can be written as a sum of positive squares in 12 ways, for example, as 532278221476 + 1489053991824 = 729574^2 + 1220268^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692160 + ... + 2126440.

It is an arithmetic number, because the mean of its divisors is an integer number (64582132755).

Almost surely, 22021332213300 is an apocalyptic number.

2021332213300 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 2021332213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324956779180).

2021332213300 is an abundant number, since it is smaller than the sum of its proper divisors (2628581345060).

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

2021332213300 is a wasteful number, since it uses less digits than its factorization.

2021332213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435141 (or 1435134 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2021332213300 its reverse (33122331202), we get a palindrome (2054454544502).

The spelling of 2021332213300 in words is "two trillion, twenty-one billion, three hundred thirty-two million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 829 850 1658 1700 3316 4145 8290 14093 16580 20725 28186 41450 56372 70465 82900 140930 281860 352325 704650 1409300 1434281 2868562 5737124 7171405 14342810 24382777 28685620 35857025 48765554 71714050 97531108 121913885 143428100 243827770 487655540 609569425 1189018949 1219138850 2378037898 2438277700 4756075796 5945094745 11890189490 20213322133 23780378980 29725473725 40426644266 59450947450 80853288532 101066610665 118901894900 202133221330 404266442660 505333053325 1010666106650 2021332213300