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20313113220 = 223252937105173
BaseRepresentation
bin10010111010110000…
…011000001010000100
31221102122201001211200
4102322300120022010
5313100124110340
613155352302500
71316243420301
oct227260301204
957378631750
1020313113220
11868424a684
123b2a9a1a30
131bb951732a
14da9b100a8
157dd4ba330
hex4bac18284

20313113220 has 144 divisors (see below), whose sum is σ = 65464504560. Its totient is φ = 5088642048.

The previous prime is 20313113213. The next prime is 20313113243. The reversal of 20313113220 is 2231131302.

20313113220 is a `hidden beast` number, since 2 + 0 + 31 + 311 + 322 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8573184 + 20304540036 = 2928^2 + 142494^2 .

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 = 20313113193 and 20313113202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140554 + ... + 245726.

It is an arithmetic number, because the mean of its divisors is an integer number (454614615).

Almost surely, 220313113220 is an apocalyptic number.

20313113220 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 20313113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32732252280).

20313113220 is an abundant number, since it is smaller than the sum of its proper divisors (45151391340).

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

20313113220 is a wasteful number, since it uses less digits than its factorization.

20313113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105254 (or 105249 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20313113220 its reverse (2231131302), we get a palindrome (22544244522).

The spelling of 20313113220 in words is "twenty billion, three hundred thirteen million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 37 45 58 60 74 87 90 111 116 145 148 174 180 185 222 261 290 333 348 370 435 444 522 555 580 666 740 870 1044 1073 1110 1305 1332 1665 1740 2146 2220 2610 3219 3330 4292 5220 5365 6438 6660 9657 10730 12876 16095 19314 21460 32190 38628 48285 64380 96570 105173 193140 210346 315519 420692 525865 631038 946557 1051730 1262076 1577595 1893114 2103460 3050017 3155190 3786228 3891401 4732785 6100034 6310380 7782802 9150051 9465570 11674203 12200068 15250085 15565604 18300102 18931140 19457005 23348406 27450153 30500170 35022609 36600204 38914010 45750255 46696812 54900306 58371015 61000340 70045218 77828020 91500510 109800612 112850629 116742030 137250765 140090436 175113045 183001020 225701258 233484060 274501530 338551887 350226090 451402516 549003060 564253145 677103774 700452180 1015655661 1128506290 1354207548 1692759435 2031311322 2257012580 3385518870 4062622644 5078278305 6771037740 10156556610 20313113220