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1221321300210 = 233511735633141
BaseRepresentation
bin10001110001011100011…
…011000001100011110010
311022202102222111101101000
4101301130123001203302
5130002231223101320
62333022310022430
7154144323523104
oct21613433014362
94282388441330
101221321300210
11430a61041560
1217884a047a16
138b22994778b
14431800b7574
1521b81952c90
hex11c5c6c18f2

1221321300210 has 128 divisors (see below), whose sum is σ = 3601605669120. Its totient is φ = 292021977600.

The previous prime is 1221321300209. The next prime is 1221321300217. The reversal of 1221321300210 is 120031231221.

1221321300210 is a `hidden beast` number, since 1 + 2 + 21 + 321 + 300 + 21 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1221321300217) 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 63 ways as a sum of consecutive naturals, for example, 2599761 + ... + 3033380.

It is an arithmetic number, because the mean of its divisors is an integer number (28137544290).

Almost surely, 21221321300210 is an apocalyptic number.

1221321300210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1221321300210 is an abundant number, since it is smaller than the sum of its proper divisors (2380284368910).

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

1221321300210 is a wasteful number, since it uses less digits than its factorization.

1221321300210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633241 (or 5633235 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1221321300210 its reverse (120031231221), we get a palindrome (1341352531431).

The spelling of 1221321300210 in words is "one trillion, two hundred twenty-one billion, three hundred twenty-one million, three hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 73 90 99 110 135 146 165 198 219 270 297 330 365 438 495 594 657 730 803 990 1095 1314 1485 1606 1971 2190 2409 2970 3285 3942 4015 4818 6570 7227 8030 9855 12045 14454 19710 21681 24090 36135 43362 72270 108405 216810 5633141 11266282 16899423 28165705 33798846 50698269 56331410 61964551 84497115 101396538 123929102 152094807 168994230 185893653 253491345 304189614 309822755 371787306 411219293 506982690 557680959 619645510 760474035 822438586 929468265 1115361918 1233657879 1520948070 1673042877 1858936530 2056096465 2467315758 2788404795 3346085754 3700973637 4112192930 4523412223 5576809590 6168289395 7401947274 8365214385 9046824446 11102920911 12336578790 13570236669 16730428770 18504868185 22205841822 22617061115 27140473338 37009736370 40710710007 45234122230 55514604555 67851183345 81421420014 111029209110 122132130021 135702366690 203553550035 244264260042 407107100070 610660650105 1221321300210