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2021121221000 = 235371213238031
BaseRepresentation
bin11101011010010100001…
…101100110000110001000
321011012212102011001021112
4131122110031212012020
5231103224013033000
64144253522025452
7266010160630610
oct35322415460610
97135772131245
102021121221000
1170a175269832
122878594a8288
1311878b30ca8b
146db73a39a40
15378923c2235
hex1d694366188

2021121221000 has 128 divisors (see below), whose sum is σ = 5409534274560. Its totient is φ = 692381664000.

The previous prime is 2021121220973. The next prime is 2021121221011. The reversal of 2021121221000 is 1221211202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8371985 + ... + 8610015.

It is an arithmetic number, because the mean of its divisors is an integer number (42261986520).

Almost surely, 22021121221000 is an apocalyptic number.

2021121221000 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 2021121221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704767137280).

2021121221000 is an abundant number, since it is smaller than the sum of its proper divisors (3388413053560).

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

2021121221000 is a wasteful number, since it uses less digits than its factorization.

2021121221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239272 (or 239258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2021121221000 its reverse (1221211202), we get a palindrome (2022342432202).

The spelling of 2021121221000 in words is "two trillion, twenty-one billion, one hundred twenty-one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1213 1400 1750 2426 3500 4852 6065 7000 8491 9704 12130 16982 24260 30325 33964 42455 48520 60650 67928 84910 121300 151625 169820 212275 238031 242600 303250 339640 424550 476062 606500 849100 952124 1061375 1190155 1213000 1666217 1698200 1904248 2122750 2380310 3332434 4245500 4760620 5950775 6664868 8331085 8491000 9521240 11901550 13329736 16662170 23803100 29753875 33324340 41655425 47606200 59507750 66648680 83310850 119015500 166621700 208277125 238031000 288731603 333243400 416554250 577463206 833108500 1154926412 1443658015 1666217000 2021121221 2309852824 2887316030 4042242442 5774632060 7218290075 8084484884 10105606105 11549264120 14436580150 16168969768 20211212210 28873160300 36091450375 40422424420 50528030525 57746320600 72182900750 80844848840 101056061050 144365801500 202112122100 252640152625 288731603000 404224244200 505280305250 1010560610500 2021121221000