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20112311400 = 2335238986171
BaseRepresentation
bin10010101110110010…
…011000010001101000
31220220122212021112020
4102232302120101220
5312142222431100
613123420344440
71311254553246
oct225662302150
956818767466
1020112311400
11859096a265
123a936a5120
131b86a3c09c
14d8b19d796
157caa535a0
hex4aec98468

20112311400 has 96 divisors (see below), whose sum is σ = 62509168800. Its totient is φ = 5349433600.

The previous prime is 20112311399. The next prime is 20112311407. The reversal of 20112311400 is 411321102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20112311400.

It is not an unprimeable number, because it can be changed into a prime (20112311407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190315 + ... + 276485.

It is an arithmetic number, because the mean of its divisors is an integer number (651137175).

Almost surely, 220112311400 is an apocalyptic number.

20112311400 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 20112311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31254584400).

20112311400 is an abundant number, since it is smaller than the sum of its proper divisors (42396857400).

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

20112311400 is a wasteful number, since it uses less digits than its factorization.

20112311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86579 (or 86570 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20112311400 its reverse (411321102), we get a palindrome (20523632502).

The spelling of 20112311400 in words is "twenty billion, one hundred twelve million, three hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 389 600 778 1167 1556 1945 2334 3112 3890 4668 5835 7780 9336 9725 11670 15560 19450 23340 29175 38900 46680 58350 77800 86171 116700 172342 233400 258513 344684 430855 517026 689368 861710 1034052 1292565 1723420 2068104 2154275 2585130 3446840 4308550 5170260 6462825 8617100 10340520 12925650 17234200 25851300 33520519 51702600 67041038 100561557 134082076 167602595 201123114 268164152 335205190 402246228 502807785 670410380 804492456 838012975 1005615570 1340820760 1676025950 2011231140 2514038925 3352051900 4022462280 5028077850 6704103800 10056155700 20112311400