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20420311120 = 2451150346133
BaseRepresentation
bin10011000001001001…
…010011100001010000
31221201010102021201021
4103001021103201100
5313310044423440
613214142045224
71322014531516
oct230111234120
957633367637
1020420311120
118729807a90
123b5a879814
131c057ab141
14dba0564b6
157e7ae284a
hex4c1253850

20420311120 has 80 divisors (see below), whose sum is σ = 51897428352. Its totient is φ = 7410644480.

The previous prime is 20420311081. The next prime is 20420311127. The reversal of 20420311120 is 2111302402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20420311094 and 20420311103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20420311127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419574 + ... + 465706.

Almost surely, 220420311120 is an apocalyptic number.

20420311120 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 20420311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25948714176).

20420311120 is an abundant number, since it is smaller than the sum of its proper divisors (31477117232).

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

20420311120 is a wasteful number, since it uses less digits than its factorization.

20420311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46660 (or 46654 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20420311120 its reverse (2111302402), we get a palindrome (22531613522).

The spelling of 20420311120 in words is "twenty billion, four hundred twenty million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 503 880 1006 2012 2515 4024 5030 5533 8048 10060 11066 20120 22132 27665 40240 44264 46133 55330 88528 92266 110660 184532 221320 230665 369064 442640 461330 507463 738128 922660 1014926 1845320 2029852 2537315 3690640 4059704 5074630 8119408 10149260 20298520 23204899 40597040 46409798 92819596 116024495 185639192 232048990 255253889 371278384 464097980 510507778 928195960 1021015556 1276269445 1856391920 2042031112 2552538890 4084062224 5105077780 10210155560 20420311120