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11120002021000 = 235340937617229
BaseRepresentation
bin1010000111010001001111…
…0001010011011010001000
31110101001200001121222002201
42201310103301103122020
52424142231004133000
635352243003205544
72225252005424005
oct241642361233210
943331601558081
1011120002021000
1135a7a6a274484
1212b716a2168b4
136287c4b68282
142a62d4c868ac
151443cb90d96a
hexa1d13c53688

11120002021000 has 128 divisors (see below), whose sum is σ = 26094970044000. Its totient is φ = 4435332096000.

The previous prime is 11120002020989. The next prime is 11120002021001. The reversal of 11120002021000 is 12020002111.

It can be written as a sum of positive squares in 16 ways, for example, as 1476356222916 + 9643645798084 = 1215054^2 + 3105422^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11120002021001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1538245386 + ... + 1538252614.

Almost surely, 211120002021000 is an apocalyptic number.

11120002021000 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 11120002021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13047485022000).

11120002021000 is an abundant number, since it is smaller than the sum of its proper divisors (14974968023000).

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

11120002021000 is a wasteful number, since it uses less digits than its factorization.

11120002021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11420 (or 11406 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11120002021000 its reverse (12020002111), we get a palindrome (11132022023111).

The spelling of 11120002021000 in words is "eleven trillion, one hundred twenty billion, two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 409 500 818 1000 1636 2045 3272 3761 4090 7229 7522 8180 10225 14458 15044 16360 18805 20450 28916 30088 36145 37610 40900 51125 57832 72290 75220 81800 94025 102250 144580 150440 180725 188050 204500 289160 361450 376100 409000 470125 722900 752200 903625 940250 1445800 1538249 1807250 1880500 2956661 3076498 3614500 3761000 5913322 6152996 7229000 7691245 11826644 12305992 14783305 15382490 23653288 27188269 29566610 30764980 38456225 54376538 59133220 61529960 73916525 76912450 108753076 118266440 135941345 147833050 153824900 192281125 217506152 271882690 295666100 307649800 369582625 384562250 543765380 591332200 679706725 739165250 769124500 1087530760 1359413450 1478330500 1538249000 2718826900 2956661000 3398533625 5437653800 6797067250 11120002021 13594134500 22240004042 27188269000 44480008084 55600010105 88960016168 111200020210 222400040420 278000050525 444800080840 556000101050 1112000202100 1390000252625 2224000404200 2780000505250 5560001010500 11120002021000