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20311313220 = 22335113419413
BaseRepresentation
bin10010111010101001…
…100000101101000100
31221102112022121201000
4102322221200231010
5313044144010340
613155245533300
71316222212422
oct227251405504
957375277630
1020311313220
118683230280
123b2a274230
131bb9036c43
14da97a2112
157dd261d30
hex4baa60b44

20311313220 has 96 divisors (see below), whose sum is σ = 68935386240. Its totient is φ = 4923953280.

The previous prime is 20311313189. The next prime is 20311313237. The reversal of 20311313220 is 2231311302.

20311313220 is a `hidden beast` number, since 2 + 0 + 311 + 31 + 322 + 0 = 666.

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 = 20311313193 and 20311313202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1703767 + ... + 1715646.

It is an arithmetic number, because the mean of its divisors is an integer number (718076940).

Almost surely, 220311313220 is an apocalyptic number.

20311313220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20311313220 is an abundant number, since it is smaller than the sum of its proper divisors (48624073020).

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

20311313220 is a wasteful number, since it uses less digits than its factorization.

20311313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419442 (or 3419434 counting only the distinct ones).

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

Adding to 20311313220 its reverse (2231311302), we get a palindrome (22542624522).

The spelling of 20311313220 in words is "twenty billion, three hundred eleven million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 3419413 6838826 10258239 13677652 17097065 20516478 30774717 34194130 37613543 41032956 51291195 61549434 68388260 75227086 92324151 102582390 112840629 123098868 150454172 153873585 184648302 188067715 205164780 225681258 307747170 338521887 369296604 376135430 451362516 461620755 564203145 615494340 677043774 752270860 923241510 1015565661 1128406290 1354087548 1692609435 1846483020 2031131322 2256812580 3385218870 4062262644 5077828305 6770437740 10155656610 20311313220