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2021221120 = 28517293203
BaseRepresentation
bin111100001111001…
…0110001100000000
312012212021200010111
41320132112030000
513114413033440
6532321441104
7101042044642
oct17036261400
95185250114
102021221120
11947a21386
12484aa0194
13262997539
14152620892
15bc6a54ea
hex78796300

2021221120 has 144 divisors (see below), whose sum is σ = 5304670560. Its totient is φ = 734461952.

The previous prime is 2021221109. The next prime is 2021221133. The reversal of 2021221120 is 211221202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2021221120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629439 + ... + 632641.

It is an arithmetic number, because the mean of its divisors is an integer number (36837990).

Almost surely, 22021221120 is an apocalyptic number.

2021221120 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 2021221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652335280).

2021221120 is an abundant number, since it is smaller than the sum of its proper divisors (3283449440).

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

2021221120 is a wasteful number, since it uses less digits than its factorization.

2021221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2021221120 is about 44957.9928377591. The cubic root of 2021221120 is about 1264.3615373436.

Adding to 2021221120 its reverse (211221202), we get a palindrome (2232442322).

The spelling of 2021221120 in words is "two billion, twenty-one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 64 68 80 85 116 128 136 145 160 170 232 256 272 290 320 340 464 493 544 580 640 680 928 986 1088 1160 1280 1360 1856 1972 2176 2320 2465 2720 3203 3712 3944 4352 4640 4930 5440 6406 7424 7888 9280 9860 10880 12812 15776 16015 18560 19720 21760 25624 31552 32030 37120 39440 51248 54451 63104 64060 78880 92887 102496 108902 126208 128120 157760 185774 204992 217804 256240 272255 315520 371548 409984 435608 464435 512480 544510 631040 743096 819968 871216 928870 1024960 1089020 1486192 1579079 1742432 1857740 2049920 2178040 2972384 3158158 3484864 3715480 4099840 4356080 5944768 6316316 6969728 7430960 7895395 8712160 11889536 12632632 13939456 14861920 15790790 17424320 23779072 25265264 29723840 31581580 34848640 50530528 59447680 63163160 69697280 101061056 118895360 126326320 202122112 252652640 404244224 505305280 1010610560 2021221120