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20121323220 = 223252347103409
BaseRepresentation
bin10010101111010100…
…110000011011010100
31220221021211010102100
4102233110300123110
5312202024320340
613124341442100
71311424265625
oct225724603324
956837733370
1020121323220
118595a64a49
123a96710330
131b88875c1b
14d8c467a4c
157cb733830
hex4af5306d4

20121323220 has 144 divisors (see below), whose sum is σ = 65044062720. Its totient is φ = 5023147008.

The previous prime is 20121323213. The next prime is 20121323231. The reversal of 20121323220 is 2232312102.

20121323220 is a `hidden beast` number, since 2 + 0 + 121 + 323 + 220 = 666.

It is a super-2 number, since 2×201213232202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20121323193 and 20121323202.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 142876 + ... + 246284.

It is an arithmetic number, because the mean of its divisors is an integer number (451694880).

Almost surely, 220121323220 is an apocalyptic number.

20121323220 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 20121323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32522031360).

20121323220 is an abundant number, since it is smaller than the sum of its proper divisors (44922739500).

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

20121323220 is a wasteful number, since it uses less digits than its factorization.

20121323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103494 (or 103489 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20121323220 its reverse (2232312102), we get a palindrome (22353635322).

The spelling of 20121323220 in words is "twenty billion, one hundred twenty-one million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 47 60 69 90 92 94 115 138 141 180 188 207 230 235 276 282 345 414 423 460 470 564 690 705 828 846 940 1035 1081 1380 1410 1692 2070 2115 2162 2820 3243 4140 4230 4324 5405 6486 8460 9729 10810 12972 16215 19458 21620 32430 38916 48645 64860 97290 103409 194580 206818 310227 413636 517045 620454 930681 1034090 1240908 1551135 1861362 2068180 2378407 3102270 3722724 4653405 4756814 4860223 6204540 7135221 9306810 9513628 9720446 11892035 14270442 14580669 18613620 19440892 21405663 23784070 24301115 28540884 29161338 35676105 42811326 43742007 47568140 48602230 58322676 71352210 72903345 85622652 87484014 97204460 107028315 111785129 142704420 145806690 174968028 214056630 218710035 223570258 291613380 335355387 428113260 437420070 447140516 558925645 670710774 874840140 1006066161 1117851290 1341421548 1676776935 2012132322 2235702580 3353553870 4024264644 5030330805 6707107740 10060661610 20121323220