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20131320440 = 23571117384479
BaseRepresentation
bin10010101111111010…
…111001001001111000
31220221222122001000202
4102233322321021320
5312212104223230
613125340021332
71311605254220
oct225772711170
956858561022
1020131320440
1185a0673010
123a99b31848
131b8a96643a
14d8d90b080
157cc55aa45
hex4afeb9278

20131320440 has 128 divisors (see below), whose sum is σ = 59794329600. Its totient is φ = 5905582080.

The previous prime is 20131320421. The next prime is 20131320479. The reversal of 20131320440 is 4402313102.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 139880 + ... + 244599.

It is an arithmetic number, because the mean of its divisors is an integer number (467143200).

Almost surely, 220131320440 is an apocalyptic number.

20131320440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131320440 is an abundant number, since it is smaller than the sum of its proper divisors (39663009160).

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

20131320440 is a wasteful number, since it uses less digits than its factorization.

20131320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384525 (or 384521 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20131320440 its reverse (4402313102), we get a palindrome (24533633542).

The spelling of 20131320440 in words is "twenty billion, one hundred thirty-one million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 17 20 22 28 34 35 40 44 55 56 68 70 77 85 88 110 119 136 140 154 170 187 220 238 280 308 340 374 385 440 476 595 616 680 748 770 935 952 1190 1309 1496 1540 1870 2380 2618 3080 3740 4760 5236 6545 7480 10472 13090 26180 52360 384479 768958 1537916 1922395 2691353 3075832 3844790 4229269 5382706 6536143 7689580 8458538 10765412 13072286 13456765 15379160 16917076 21146345 21530824 26144572 26913530 29604883 32680715 33834152 42292690 45753001 52289144 53827060 59209766 65361430 71897573 84585380 91506002 107654120 118419532 130722860 143795146 148024415 169170760 183012004 228765005 236839064 261445720 287590292 296048830 359487865 366024008 457530010 503283011 575180584 592097660 718975730 915060020 1006566022 1184195320 1437951460 1830120040 2013132044 2516415055 2875902920 4026264088 5032830110 10065660220 20131320440