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20313020131000 = 2353431300936313
BaseRepresentation
bin1001001111001011111100…
…10110010110011010111000
32122220220110022001201101221
410213211332112112122320
510130302031123143000
6111111401141521424
74164365401154662
oct447457626263270
978826408051357
1020313020131000
116521781339483
122340971413274
13b4468171226c
14503226689532
152535c562161a
hex12797e5966b8

20313020131000 has 128 divisors (see below), whose sum is σ = 48642951614400. Its totient is φ = 7935421132800.

The previous prime is 20313020130959. The next prime is 20313020131049. The reversal of 20313020131000 is 13102031302.

It is a super-2 number, since 2×203130201310002 (a number of 27 digits) contains 22 as substring.

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, 559368844 + ... + 559405156.

Almost surely, 220313020131000 is an apocalyptic number.

20313020131000 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 20313020131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24321475807200).

20313020131000 is an abundant number, since it is smaller than the sum of its proper divisors (28329931483400).

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

20313020131000 is a wasteful number, since it uses less digits than its factorization.

20313020131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49386 (or 49372 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 20313020131000 its reverse (13102031302), we get a palindrome (20326122162302).

The spelling of 20313020131000 in words is "twenty trillion, three hundred thirteen billion, twenty million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 860 1000 1075 1720 2150 4300 5375 8600 10750 13009 21500 26018 36313 43000 52036 65045 72626 104072 130090 145252 181565 260180 290504 325225 363130 520360 559387 650450 726260 907825 1118774 1300900 1452520 1561459 1626125 1815650 2237548 2601800 2796935 3122918 3252250 3631300 4475096 4539125 5593870 6245836 6504500 7262600 7807295 9078250 11187740 12491672 13009000 13984675 15614590 18156500 22375480 27969350 31229180 36313000 39036475 55938700 62458360 69923375 78072950 111877400 139846750 156145900 195182375 279693500 312291800 390364750 472395817 559387000 780729500 944791634 1561459000 1889583268 2361979085 3779166536 4723958170 9447916340 11809895425 18895832680 20313020131 23619790850 40626040262 47239581700 59049477125 81252080524 94479163400 101565100655 118098954250 162504161048 203130201310 236197908500 406260402620 472395817000 507825503275 812520805240 1015651006550 2031302013100 2539127516375 4062604026200 5078255032750 10156510065500 20313020131000