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21021224200 = 23521722912541
BaseRepresentation
bin10011100100111101…
…100110110100001000
32000021000010211111021
4103210331212310020
5321022413133300
613353525442224
71342632312634
oct234475466410
960230124437
1021021224200
118a07a29969
1240a7b70374
131ca0136502
141035b99dc4
15830740d1a
hex4e4f66d08

21021224200 has 144 divisors (see below), whose sum is σ = 53712996300. Its totient is φ = 7640371200.

The previous prime is 21021224179. The next prime is 21021224209. The reversal of 21021224200 is 242212012.

It can be written as a sum of positive squares in 18 ways, for example, as 2745969604 + 18275254596 = 52402^2 + 135186^2 .

It is not an unprimeable number, because it can be changed into a prime (21021224209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1669930 + ... + 1682470.

Almost surely, 221021224200 is an apocalyptic number.

21021224200 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 21021224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26856498150).

21021224200 is an abundant number, since it is smaller than the sum of its proper divisors (32691772100).

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

21021224200 is a wasteful number, since it uses less digits than its factorization.

21021224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12620 (or 12594 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21021224200 its reverse (242212012), we get a palindrome (21263436212).

The spelling of 21021224200 in words is "twenty-one billion, twenty-one million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 29 34 40 50 58 68 85 100 116 136 145 170 200 232 289 290 340 425 493 578 580 680 725 850 986 1156 1160 1445 1450 1700 1972 2312 2465 2890 2900 3400 3944 4930 5780 5800 7225 8381 9860 11560 12325 12541 14450 16762 19720 24650 25082 28900 33524 41905 49300 50164 57800 62705 67048 83810 98600 100328 125410 167620 209525 213197 250820 313525 335240 363689 419050 426394 501640 627050 727378 838100 852788 1065985 1254100 1454756 1676200 1705576 1818445 2131970 2508200 2909512 3624349 3636890 4263940 5329925 6182713 7248698 7273780 8527880 9092225 10659850 12365426 14497396 14547560 18121745 18184450 21319700 24730852 28994792 30913565 36243490 36368900 42639400 49461704 61827130 72486980 72737800 90608725 105106121 123654260 144973960 154567825 181217450 210212242 247308520 309135650 362434900 420424484 525530605 618271300 724869800 840848968 1051061210 1236542600 2102122420 2627653025 4204244840 5255306050 10510612100 21021224200