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2021002201200 = 2435211711438231
BaseRepresentation
bin11101011010001101000…
…111100100100001110000
321011012120010012012210210
4131122031013210201300
5231103003030414300
64144234031024120
7266004214161243
oct35321507444160
97135503165723
102021002201200
1170a114067464
1228782566b040
1311876c76a068
146db61cd725a
1537886c12050
hex1d68d1e4870

2021002201200 has 120 divisors (see below), whose sum is σ = 6479476782976. Its totient is φ = 538473312000.

The previous prime is 2021002201199. The next prime is 2021002201201. The reversal of 2021002201200 is 21022001202.

It is an interprime number because it is at equal distance from previous prime (2021002201199) and next prime (2021002201201).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021002201201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686085 + ... + 2124315.

Almost surely, 22021002201200 is an apocalyptic number.

2021002201200 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 2021002201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239738391488).

2021002201200 is an abundant number, since it is smaller than the sum of its proper divisors (4458474581776).

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

2021002201200 is a wasteful number, since it uses less digits than its factorization.

2021002201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439423 (or 1439412 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2021002201200 its reverse (21022001202), we get a palindrome (2042024202402).

The spelling of 2021002201200 in words is "two trillion, twenty-one billion, two million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1171 1200 2342 3513 4684 5855 7026 9368 11710 14052 17565 18736 23420 28104 29275 35130 46840 56208 58550 70260 87825 93680 117100 140520 175650 234200 281040 351300 468400 702600 1405200 1438231 2876462 4314693 5752924 7191155 8629386 11505848 14382310 17258772 21573465 23011696 28764620 34517544 35955775 43146930 57529240 69035088 71911550 86293860 107867325 115058480 143823100 172587720 215734650 287646200 345175440 431469300 575292400 862938600 1684168501 1725877200 3368337002 5052505503 6736674004 8420842505 10105011006 13473348008 16841685010 20210022012 25262527515 26946696016 33683370020 40420044024 42104212525 50525055030 67366740040 80840088048 84208425050 101050110060 126312637575 134733480080 168416850100 202100220120 252625275150 336833700200 404200440240 505250550300 673667400400 1010501100600 2021002201200