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2021012120300 = 22521727117212549
BaseRepresentation
bin11101011010001101101…
…101011010001011101100
321011012120210212011020212
4131122031231122023230
5231103013100322200
64144235023401552
7266004364403015
oct35321555321354
97135523764225
102021012120300
1170a119721868
12287828a532b8
13118771830b54
146db6335a00c
1537887a21035
hex1d68db5a2ec

2021012120300 has 144 divisors (see below), whose sum is σ = 4665245155200. Its totient is φ = 757306368000.

The previous prime is 2021012120251. The next prime is 2021012120327. The reversal of 2021012120300 is 30212101202.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 792863426 + ... + 792865974.

It is an arithmetic number, because the mean of its divisors is an integer number (32397535800).

Almost surely, 22021012120300 is an apocalyptic number.

2021012120300 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 2021012120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332622577600).

2021012120300 is an abundant number, since it is smaller than the sum of its proper divisors (2644233034900).

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

2021012120300 is a wasteful number, since it uses less digits than its factorization.

2021012120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2021012120300 its reverse (30212101202), we get a palindrome (2051224221502).

The spelling of 2021012120300 in words is "two trillion, twenty-one billion, twelve million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 271 340 425 542 850 1084 1355 1700 1721 2549 2710 3442 4607 5098 5420 6775 6884 8605 9214 10196 12745 13550 17210 18428 23035 25490 27100 29257 34420 43025 43333 46070 50980 58514 63725 86050 86666 92140 115175 117028 127450 146285 172100 173332 216665 230350 254900 292570 433330 460700 466391 585140 690779 731425 866660 932782 1083325 1381558 1462850 1865564 2166650 2331955 2763116 2925700 3453895 4333300 4386829 4663910 6907790 7928647 8773658 9327820 11659775 11743243 13815580 15857294 17269475 17547316 21934145 23319550 23486486 31714588 34538950 39643235 43868290 46639100 46972972 58716215 69077900 74576093 79286470 87736580 109670725 117432430 149152186 158572940 198216175 219341450 234864860 293581075 298304372 372880465 396432350 438682900 587162150 745760930 792864700 1174324300 1188830659 1491521860 1864402325 2377661318 3728804650 4755322636 5944153295 7457609300 11888306590 20210121203 23776613180 29720766475 40420242406 59441532950 80840484812 101050606015 118883065900 202101212030 404202424060 505253030075 1010506060150 2021012120300