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11110012001000 = 235311291818281
BaseRepresentation
bin1010000110101100000001…
…0100011001101011101000
31110100002212211122100221222
42201223000110121223220
52424011301033013000
635343511414321212
72224446311566163
oct241530024315350
943302784570858
1011110012001000
1135a3803156600
1212b5240659208
13627892263533
142a5a281a0ada
15143ee4872a85
hexa1ac0519ae8

11110012001000 has 96 divisors (see below), whose sum is σ = 28575685724040. Its totient is φ = 4040004320000.

The previous prime is 11110012000861. The next prime is 11110012001009. The reversal of 11110012001000 is 10021001111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3748351556356 + 7361660444644 = 1936066^2 + 2713238^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (11110012001009) 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, 45788141 + ... + 46030140.

Almost surely, 211110012001000 is an apocalyptic number.

11110012001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11110012001000 is an abundant number, since it is smaller than the sum of its proper divisors (17465673723040).

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

11110012001000 is a wasteful number, since it uses less digits than its factorization.

11110012001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91818324 (or 91818299 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11110012001000 its reverse (10021001111), we get a palindrome (11120033002111).

The spelling of 11110012001000 in words is "eleven trillion, one hundred ten billion, twelve million, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 91818281 183636562 367273124 459091405 734546248 918182810 1010001091 1836365620 2020002182 2295457025 3672731240 4040004364 4590914050 5050005455 8080008728 9181828100 10100010910 11110012001 11477285125 18363656200 20200021820 22220024002 22954570250 25250027275 40400043640 44440048004 45909140500 50500054550 55550060005 88880096008 91818281000 101000109100 111100120010 126250136375 202000218200 222200240020 252500272750 277750300025 444400480040 505000545500 555500600050 1010001091000 1111001200100 1388751500125 2222002400200 2777503000250 5555006000500 11110012001000