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1011120120200 = 235243131897497
BaseRepresentation
bin11101011011010110111…
…01001010000110001000
310120122212200220001122202
432231223131022012020
5113031233222321300
62052300245135332
7133023333133361
oct16555335120610
93518780801582
101011120120200
1135a8a4a47883
12143b660ba548
137446b05ca18
1436d1d264b68
151b47cb31ad5
hexeb6b74a188

1011120120200 has 96 divisors (see below), whose sum is σ = 2423890798560. Its totient is φ = 392026252800.

The previous prime is 1011120120187. The next prime is 1011120120239. The reversal of 1011120120200 is 20210211101.

1011120120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 677852 + ... + 1575348.

It is an arithmetic number, because the mean of its divisors is an integer number (25248862485).

Almost surely, 21011120120200 is an apocalyptic number.

1011120120200 is a gapful number since it is divisible by the number (10) 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 1011120120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211945399280).

1011120120200 is an abundant number, since it is smaller than the sum of its proper divisors (1412770678360).

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

1011120120200 is a wasteful number, since it uses less digits than its factorization.

1011120120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897687 (or 897678 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1011120120200 its reverse (20210211101), we get a palindrome (1031330331301).

Subtracting from 1011120120200 its reverse (20210211101), we obtain a palindrome (990909909099).

The spelling of 1011120120200 in words is "one trillion, eleven billion, one hundred twenty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 131 172 200 215 262 344 430 524 655 860 1048 1075 1310 1720 2150 2620 3275 4300 5240 5633 6550 8600 11266 13100 22532 26200 28165 45064 56330 112660 140825 225320 281650 563300 897497 1126600 1794994 3589988 4487485 7179976 8974970 17949940 22437425 35899880 38592371 44874850 77184742 89749700 117572107 154369484 179499400 192961855 235144214 308738968 385923710 470288428 587860535 771847420 940576856 964809275 1175721070 1543694840 1929618550 2351442140 2939302675 3859237100 4702884280 5055600601 5878605350 7718474200 10111201202 11757210700 20222402404 23514421400 25278003005 40444804808 50556006010 101112012020 126390015025 202224024040 252780030050 505560060100 1011120120200