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2021201321200 = 245241181168053
BaseRepresentation
bin11101011010011000111…
…111001001110011110000
321011020001222212120002121
4131122120333021303300
5231103410014234300
64144305502524024
7266012152522105
oct35323077116360
97136058776077
102021201321200
1170a2064a9246
12287880296614
131187a1aa6949
146db8052aaac
153789944581a
hex1d698fc9cf0

2021201321200 has 120 divisors (see below), whose sum is σ = 4977193532976. Its totient is φ = 788314368000.

The previous prime is 2021201321147. The next prime is 2021201321263. The reversal of 2021201321200 is 21231021202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 29666374 + ... + 29734426.

Almost surely, 22021201321200 is an apocalyptic number.

2021201321200 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 2021201321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488596766488).

2021201321200 is an abundant number, since it is smaller than the sum of its proper divisors (2955992211776).

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

2021201321200 is a wasteful number, since it uses less digits than its factorization.

2021201321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69923 (or 69912 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2021201321200 its reverse (21231021202), we get a palindrome (2042432342402).

The spelling of 2021201321200 in words is "two trillion, twenty-one billion, two hundred one million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 1811 2050 3280 3622 4100 7244 8200 9055 14488 16400 18110 28976 36220 45275 68053 72440 74251 90550 136106 144880 148502 181100 272212 297004 340265 362200 371255 544424 594008 680530 724400 742510 1088848 1188016 1361060 1485020 1701325 1856275 2722120 2790173 2970040 3402650 3712550 5444240 5580346 5940080 6805300 7425100 11160692 13610600 13950865 14850200 22321384 27221200 27901730 29700400 44642768 55803460 69754325 111606920 123243983 139508650 223213840 246487966 279017300 492975932 558034600 616219915 985951864 1116069200 1232439830 1971903728 2464879660 3081099575 4929759320 5053003303 6162199150 9859518640 10106006606 12324398300 20212013212 24648796600 25265016515 40424026424 49297593200 50530033030 80848052848 101060066060 126325082575 202120132120 252650165150 404240264240 505300330300 1010600660600 2021201321200