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20401401020 = 22571121392641
BaseRepresentation
bin10011000000000001…
…001010110010111100
31221122210211112221012
4103000001022302330
5313240224313040
613212224454352
71321365022160
oct230001126274
957583745835
1020401401020
11871a071600
123b5447a3b8
131c018b9b30
14db7732ca0
157e6109865
hex4c004acbc

20401401020 has 144 divisors (see below), whose sum is σ = 57959799744. Its totient is φ = 5869670400.

The previous prime is 20401401019. The next prime is 20401401037. The reversal of 20401401020 is 2010410402.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20401400986 and 20401401004.

It is a congruent number.

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, 173900 + ... + 266540.

Almost surely, 220401401020 is an apocalyptic number.

20401401020 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 20401401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28979899872).

20401401020 is an abundant number, since it is smaller than the sum of its proper divisors (37558398724).

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

20401401020 is a wasteful number, since it uses less digits than its factorization.

20401401020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92692 (or 92679 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20401401020 its reverse (2010410402), we get a palindrome (22411811422).

The spelling of 20401401020 in words is "twenty billion, four hundred one million, four hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1430 1540 1573 1694 1820 2002 2420 2860 3146 3388 4004 4235 5005 6292 7865 8470 10010 11011 15730 16940 20020 22022 31460 44044 55055 92641 110110 185282 220220 370564 463205 648487 926410 1019051 1204333 1296974 1852820 2038102 2408666 2593948 3242435 4076204 4817332 5095255 6021665 6484870 7133357 8430331 10190510 11209561 12043330 12969740 13247663 14266714 16860662 20381020 22419122 24086660 26495326 28533428 33721324 35666785 42151655 44838244 52990652 56047805 66238315 71333570 78466927 84303310 92733641 112095610 132476630 142667140 145724293 156933854 168606620 185467282 224191220 264953260 291448586 313867708 370934564 392334635 463668205 582897172 728621465 784669270 927336410 1020070051 1457242930 1569338540 1854672820 2040140102 2914485860 4080280204 5100350255 10200700510 20401401020