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20313323300000 = 2555613330053
BaseRepresentation
bin1001001111001100100000…
…11010110110010010100000
32122220221020102112022002102
410213212100122312102200
510130303141231100000
6111111451211505532
74164406042103423
oct447462032662240
978827212468072
1020313323300000
116521917487875
122340a36a582a8
13b446cc47c5c3
14503254a459ba
152535e20593d5
hex1279906b64a0

20313323300000 has 144 divisors (see below), whose sum is σ = 50806087749144. Its totient is φ = 7992124800000.

The previous prime is 20313323299967. The next prime is 20313323300059. The reversal of 20313323300000 is 332331302.

It can be written as a sum of positive squares in 12 ways, for example, as 8465050594576 + 11848272705424 = 2909476^2 + 3442132^2 .

It is a super-2 number, since 2×203133233000002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4434974 + ... + 7765026.

Almost surely, 220313323300000 is an apocalyptic number.

20313323300000 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 20313323300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25403043874572).

20313323300000 is an abundant number, since it is smaller than the sum of its proper divisors (30492764449144).

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

20313323300000 is an frugal number, since it uses more digits than its factorization.

20313323300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330149 (or 3330121 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 20313323300000 its reverse (332331302), we get a palindrome (20313655631302).

The spelling of 20313323300000 in words is "twenty trillion, three hundred thirteen billion, three hundred twenty-three million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 125 160 200 244 250 305 400 488 500 610 625 800 976 1000 1220 1250 1525 1952 2000 2440 2500 3050 3125 4000 4880 5000 6100 6250 7625 9760 10000 12200 12500 15250 20000 24400 25000 30500 38125 48800 50000 61000 76250 100000 122000 152500 190625 244000 305000 381250 610000 762500 1220000 1525000 3050000 3330053 6100000 6660106 13320212 16650265 26640424 33300530 53280848 66601060 83251325 106561696 133202120 166502650 203133233 266404240 333005300 406266466 416256625 532808480 666010600 812532932 832513250 1015666165 1332021200 1625065864 1665026500 2031332330 2081283125 2664042400 3250131728 3330053000 4062664660 4162566250 5078330825 6500263456 6660106000 8125329320 8325132500 10156661650 10406415625 13320212000 16250658640 16650265000 20313323300 20812831250 25391654125 32501317280 33300530000 40626646600 41625662500 50783308250 66601060000 81253293200 83251325000 101566616500 126958270625 162506586400 166502650000 203133233000 253916541250 333005300000 406266466000 507833082500 634791353125 812532932000 1015666165000 1269582706250 2031332330000 2539165412500 4062664660000 5078330825000 10156661650000 20313323300000