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20335120020 = 22325293385573
BaseRepresentation
bin10010111100000100…
…010100111010010100
31221111012010010111100
4102330010110322110
5313121242320040
613201500110100
71316631445125
oct227404247224
957435103440
1020335120020
118695710716
123b36235330
131bc0c50cc7
14dac9dc04c
157e03b5b30
hex4bc114e94

20335120020 has 72 divisors (see below), whose sum is σ = 61893880776. Its totient is φ = 5404177152.

The previous prime is 20335119967. The next prime is 20335120031. The reversal of 20335120020 is 2002153302.

It can be written as a sum of positive squares in 4 ways, for example, as 4340964996 + 15994155024 = 65886^2 + 126468^2 .

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 = 20335119975 and 20335120002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140047 + ... + 245526.

It is an arithmetic number, because the mean of its divisors is an integer number (859637233).

Almost surely, 220335120020 is an apocalyptic number.

20335120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20335120020 is an abundant number, since it is smaller than the sum of its proper divisors (41558760756).

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

20335120020 is a wasteful number, since it uses less digits than its factorization.

20335120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385881 (or 385876 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 20335120020 its reverse (2002153302), we get a palindrome (22337273322).

The spelling of 20335120020 in words is "twenty billion, three hundred thirty-five million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 293 586 879 1172 1465 1758 2637 2930 3516 4395 5274 5860 8790 10548 13185 17580 26370 52740 385573 771146 1156719 1542292 1927865 2313438 3470157 3855730 4626876 5783595 6940314 7711460 11567190 13880628 17350785 23134380 34701570 69403140 112972889 225945778 338918667 451891556 564864445 677837334 1016756001 1129728890 1355674668 1694593335 2033512002 2259457780 3389186670 4067024004 5083780005 6778373340 10167560010 20335120020