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121021223310 = 233513281122701
BaseRepresentation
bin111000010110101101…
…1010101000110001110
3102120101011210010112000
41300231123111012032
53440322413121220
6131332452453130
711513006265561
oct1605533250616
9376334703460
10121021223310
1147363364329
121b55591a1a6
13b548945710
145c00c1a4d8
15323497a390
hex1c2d6d518e

121021223310 has 128 divisors (see below), whose sum is σ = 348787797120. Its totient is φ = 29683584000.

The previous prime is 121021223303. The next prime is 121021223327. The reversal of 121021223310 is 13322120121.

121021223310 is a `hidden beast` number, since 1 + 210 + 2 + 122 + 331 + 0 = 666.

It is a super-2 number, since 2×1210212233102 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 924960 + ... + 1047660.

It is an arithmetic number, because the mean of its divisors is an integer number (2724904665).

Almost surely, 2121021223310 is an apocalyptic number.

121021223310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121021223310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174393898560).

121021223310 is an abundant number, since it is smaller than the sum of its proper divisors (227766573810).

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

121021223310 is a wasteful number, since it uses less digits than its factorization.

121021223310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123011 (or 123005 counting only the distinct ones).

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

Adding to 121021223310 its reverse (13322120121), we get a palindrome (134343343431).

The spelling of 121021223310 in words is "one hundred twenty-one billion, twenty-one million, two hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 281 351 390 562 585 702 843 1170 1405 1686 1755 2529 2810 3510 3653 4215 5058 7306 7587 8430 10959 12645 15174 18265 21918 25290 32877 36530 37935 54795 65754 75870 98631 109590 122701 164385 197262 245402 328770 368103 493155 613505 736206 986310 1104309 1227010 1595113 1840515 2208618 3190226 3312927 3681030 4785339 5521545 6625854 7975565 9570678 11043090 14356017 15951130 16564635 23926695 28712034 33129270 34478981 43068051 47853390 68957962 71780085 86136102 103436943 143560170 172394905 206873886 215340255 310310829 344789810 430680510 448226753 517184715 620621658 896453506 930932487 1034369430 1344680259 1551554145 1861864974 2241133765 2689360518 3103108290 4034040777 4482267530 4654662435 6723401295 8068081554 9309324870 12102122331 13446802590 20170203885 24204244662 40340407770 60510611655 121021223310