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20401010420 = 2257374196059
BaseRepresentation
bin10010111111111111…
…101011011011110100
31221122210002201010112
4102333333223123310
5313240124313140
613212212242152
71321361504330
oct227777533364
957583081115
1020401010420
11871992509a
123b54310358
131c017b10cb
14db76707c0
157e607dc65
hex4bffeb6f4

20401010420 has 96 divisors (see below), whose sum is σ = 51512751360. Its totient is φ = 6639528960.

The previous prime is 20401010387. The next prime is 20401010449. The reversal of 20401010420 is 2401010402.

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 = 20401010395 and 20401010404.

It is a congruent number.

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, 164351 + ... + 260409.

It is an arithmetic number, because the mean of its divisors is an integer number (536591160).

Almost surely, 220401010420 is an apocalyptic number.

20401010420 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 20401010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25756375680).

20401010420 is an abundant number, since it is smaller than the sum of its proper divisors (31111740940).

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

20401010420 is a wasteful number, since it uses less digits than its factorization.

20401010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96153 (or 96151 counting only the distinct ones).

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

Adding to 20401010420 its reverse (2401010402), we get a palindrome (22802020822).

The spelling of 20401010420 in words is "twenty billion, four hundred one million, ten thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 41 70 74 82 140 148 164 185 205 259 287 370 410 518 574 740 820 1036 1148 1295 1435 1517 2590 2870 3034 5180 5740 6068 7585 10619 15170 21238 30340 42476 53095 96059 106190 192118 212380 384236 480295 672413 960590 1344826 1921180 2689652 3362065 3554183 3938419 6724130 7108366 7876838 13448260 14216732 15753676 17770915 19692095 24879281 27568933 35541830 39384190 49758562 55137866 71083660 78768380 99517124 110275732 124396405 137844665 145721503 248792810 275689330 291443006 497585620 551378660 582886012 728607515 1020050521 1457215030 2040101042 2914430060 4080202084 5100252605 10200505210 20401010420