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20023111002400 = 2552113989570407
BaseRepresentation
bin1001000110101111111100…
…11010110010100100100000
32121220012011000220001220121
410203113332122302210200
510111024312404034100
6110330253515050024
74134423233216422
oct443277632624440
977805130801817
1020023111002400
11641a832183220
1222b4743440914
13b2322c36959c
144d31a37a2812
1524aca8cc051a
hex1235fe6b2920

20023111002400 has 144 divisors (see below), whose sum is σ = 53338646733120. Its totient is φ = 7279293209600.

The previous prime is 20023111002383. The next prime is 20023111002467. The reversal of 20023111002400 is 420011132002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34817997 + ... + 35388403.

It is an arithmetic number, because the mean of its divisors is an integer number (370407268980).

Almost surely, 220023111002400 is an apocalyptic number.

20023111002400 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 20023111002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26669323366560).

20023111002400 is an abundant number, since it is smaller than the sum of its proper divisors (33315535730720).

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

20023111002400 is a wasteful number, since it uses less digits than its factorization.

20023111002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574427 (or 574414 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20023111002400 its reverse (420011132002), we get a palindrome (20443122134402).

The spelling of 20023111002400 in words is "twenty trillion, twenty-three billion, one hundred eleven million, two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 3989 4400 7978 8800 15956 19945 31912 39890 43879 63824 79780 87758 99725 127648 159560 175516 199450 219395 319120 351032 398900 438790 570407 638240 702064 797800 877580 1096975 1140814 1404128 1595600 1755160 2193950 2281628 2852035 3191200 3510320 4387900 4563256 5704070 6274477 7020640 8775800 9126512 11408140 12548954 14260175 17551600 18253024 22816280 25097908 28520350 31372385 35103200 45632560 50195816 57040700 62744770 91265120 100391632 114081400 125489540 156861925 200783264 228162800 250979080 313723850 456325600 501958160 627447700 1003916320 1254895400 2275353523 2509790800 4550707046 5019581600 9101414092 11376767615 18202828184 22753535230 25028888753 36405656368 45507070460 50057777506 56883838075 72811312736 91014140920 100115555012 113767676150 125144443765 182028281840 200231110024 227535352300 250288887530 364056563680 400462220048 455070704600 500577775060 625722218825 800924440096 910141409200 1001155550120 1251444437650 1820282818400 2002311100240 2502888875300 4004622200480 5005777750600 10011555501200 20023111002400