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20131312101320 = 2357401330754217
BaseRepresentation
bin1001001001111001011111…
…01101001110011111001000
32122021112102202100101220202
410210330233231032133020
510114312411344220240
6110452110324111332
74145303452330340
oct444745755163710
978245382311822
1020131312101320
11646170694a322
1223116bb835548
13b304b3c6c684
144d8509ab7d20
1524d9dceca315
hex124f2fb4e7c8

20131312101320 has 128 divisors (see below), whose sum is σ = 51911973999360. Its totient is φ = 6882742886400.

The previous prime is 20131312101319. The next prime is 20131312101413. The reversal of 20131312101320 is 2310121313102.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 20131312101292 and 20131312101301.

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, 371282852 + ... + 371337068.

It is an arithmetic number, because the mean of its divisors is an integer number (405562296870).

Almost surely, 220131312101320 is an apocalyptic number.

20131312101320 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 20131312101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25955986999680).

20131312101320 is an abundant number, since it is smaller than the sum of its proper divisors (31780661898040).

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

20131312101320 is a wasteful number, since it uses less digits than its factorization.

20131312101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57943 (or 57939 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 20131312101320 its reverse (2310121313102), we get a palindrome (22441433414422).

The spelling of 20131312101320 in words is "twenty trillion, one hundred thirty-one billion, three hundred twelve million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 401 802 1604 2005 2807 3208 3307 4010 5614 6614 8020 11228 13228 14035 16040 16535 22456 23149 26456 28070 33070 46298 54217 56140 66140 92596 108434 112280 115745 132280 185192 216868 231490 271085 379519 433736 462980 542170 759038 925960 1084340 1326107 1518076 1897595 2168680 2652214 3036152 3795190 5304428 6630535 7590380 9282749 10608856 13261070 15180760 18565498 21741017 26522140 37130996 43482034 46413745 53044280 74261992 86964068 92827490 108705085 152187119 173928136 179295619 185654980 217410170 304374238 358591238 371309960 434820340 608748476 717182476 760935595 869640680 896478095 1217496952 1255069333 1434364952 1521871190 1792956190 2510138666 3043742380 3585912380 5020277332 6087484760 6275346665 7171824760 10040554664 12550693330 25101386660 50202773320 71897543219 143795086438 287590172876 359487716095 503282802533 575180345752 718975432190 1006565605066 1437950864380 2013131210132 2516414012665 2875901728760 4026262420264 5032828025330 10065656050660 20131312101320