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20123220030 = 23523314392143
BaseRepresentation
bin10010101111011011…
…111111100000111110
31220221102101111100120
4102233123333200332
5312203021020110
613124450235410
71311446355654
oct225733774076
956842344316
1020123220030
118597040061
123a97285b66
131b8908b3b4
14d8c7dcdd4
157cb9aa870
hex4af6ff83e

20123220030 has 128 divisors (see below), whose sum is σ = 52164034560. Its totient is φ = 4953674880.

The previous prime is 20123220001. The next prime is 20123220037. The reversal of 20123220030 is 3002232102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 20123219991 and 20123220009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123220037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9389139 + ... + 9391281.

It is an arithmetic number, because the mean of its divisors is an integer number (407531520).

Almost surely, 220123220030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20123220030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26082017280).

20123220030 is an abundant number, since it is smaller than the sum of its proper divisors (32040814530).

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

20123220030 is a wasteful number, since it uses less digits than its factorization.

20123220030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646.

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20123220030 its reverse (3002232102), we get a palindrome (23125452132).

The spelling of 20123220030 in words is "twenty billion, one hundred twenty-three million, two hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 186 230 310 345 439 465 690 713 878 930 1317 1426 2139 2143 2195 2634 3565 4278 4286 4390 6429 6585 7130 10097 10695 10715 12858 13170 13609 20194 21390 21430 27218 30291 32145 40827 49289 50485 60582 64290 66433 68045 81654 98578 100970 132866 136090 147867 151455 199299 204135 246445 295734 302910 313007 332165 398598 408270 492890 626014 664330 739335 939021 940777 996495 1478670 1527959 1565035 1878042 1881554 1992990 2822331 3055918 3130070 4583877 4695105 4703885 5644662 7639795 9167754 9390210 9407770 14111655 15279590 21637871 22919385 28223310 29164087 43275742 45838770 58328174 64913613 87492261 108189355 129827226 145820435 174984522 216378710 291640870 324568065 437461305 649136130 670774001 874922610 1341548002 2012322003 3353870005 4024644006 6707740010 10061610015 20123220030