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1023800315220 = 2232531225181509
BaseRepresentation
bin11101110010111110100…
…00010000110101010100
310121212121101220201011100
432321133100100311110
5113233220340041340
62102154413510100
7133652504044104
oct16713720206524
93555541821140
101023800315220
11365211650aa1
121465047a2330
137570c0bb1b7
14377a3343204
151b970e61830
hexee5f410d54

1023800315220 has 144 divisors (see below), whose sum is σ = 3207169405440. Its totient is φ = 264085920000.

The previous prime is 1023800315077. The next prime is 1023800315333. The reversal of 1023800315220 is 225130083201.

1023800315220 is a `hidden beast` number, since 10 + 23 + 80 + 0 + 31 + 522 + 0 = 666.

1023800315220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12519826 + ... + 12601334.

It is an arithmetic number, because the mean of its divisors is an integer number (22272009760).

Almost surely, 21023800315220 is an apocalyptic number.

1023800315220 is a gapful number since it is divisible by the number (10) 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 1023800315220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603584702720).

1023800315220 is an abundant number, since it is smaller than the sum of its proper divisors (2183369090220).

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

1023800315220 is a wasteful number, since it uses less digits than its factorization.

1023800315220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83806 (or 83801 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1023800315220 its reverse (225130083201), we get a palindrome (1248930398421).

The spelling of 1023800315220 in words is "one trillion, twenty-three billion, eight hundred million, three hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2251 2790 4502 5580 6753 9004 11255 13506 20259 22510 27012 33765 40518 45020 67530 69781 81036 81509 101295 135060 139562 163018 202590 209343 244527 279124 326036 348905 405180 407545 418686 489054 628029 697810 733581 815090 837372 978108 1046715 1222635 1256058 1395620 1467162 1630180 2093430 2445270 2512116 2526779 2934324 3140145 3667905 4186860 4890540 5053558 6280290 7335810 7580337 10107116 12560580 12633895 14671620 15160674 22741011 25267790 30321348 37901685 45482022 50535580 75803370 90964044 113705055 151606740 183476759 227410110 366953518 454820220 550430277 733907036 917383795 1100860554 1651290831 1834767590 2201721108 2752151385 3302581662 3669535180 5504302770 5687779529 6605163324 8256454155 11008605540 11375559058 16512908310 17063338587 22751118116 28438897645 33025816620 34126677174 51190015761 56877795290 68253354348 85316692935 102380031522 113755590580 170633385870 204760063044 255950078805 341266771740 511900157610 1023800315220