Search a number
-
+
1020040113400 = 235271166236371
BaseRepresentation
bin11101101011111110010…
…00001110110011111000
310121111220100102122222021
432311333020032303320
5113203020232112100
62100333331404224
7133460354622430
oct16657710166370
93544810378867
101020040113400
11363662062790
12145835453674
13752600797c9
1437527bb12c0
151b800ca7a1a
hexed7f20ecf8

1020040113400 has 96 divisors (see below), whose sum is σ = 2956791646080. Its totient is φ = 317934576000.

The previous prime is 1020040113361. The next prime is 1020040113403. The reversal of 1020040113400 is 43110400201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020040113403) 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, 33102786 + ... + 33133585.

It is an arithmetic number, because the mean of its divisors is an integer number (30799912980).

Almost surely, 21020040113400 is an apocalyptic number.

1020040113400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020040113400 is an abundant number, since it is smaller than the sum of its proper divisors (1936751532680).

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

1020040113400 is a wasteful number, since it uses less digits than its factorization.

1020040113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66236405 (or 66236396 counting only the distinct ones).

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

Adding to 1020040113400 its reverse (43110400201), we get a palindrome (1063150513601).

The spelling of 1020040113400 in words is "one trillion, twenty billion, forty million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 66236371 132472742 264945484 331181855 463654597 529890968 662363710 728600081 927309194 1324727420 1457200162 1655909275 1854618388 2318272985 2649454840 2914400324 3311818550 3643000405 3709236776 4636545970 5100200567 5828800648 6623637100 7286000810 9273091940 10200401134 11591364925 13247274200 14572001620 18215002025 18546183880 20400802268 23182729850 25501002835 29144003240 36430004050 40801604536 46365459700 51002005670 72860008100 92730919400 102004011340 127505014175 145720016200 204008022680 255010028350 510020056700 1020040113400