Search a number
-
+
11200001100021 = 323759896405187
BaseRepresentation
bin1010001011111011010000…
…0101100100100011110101
31110122201011100000020202100
42202332310011210203311
52432000100240200041
635453113125132313
72234113316401356
oct242766405444365
943581140006670
1011200001100021
113628991701618
12130a77585a099
13633203a39b16
142aa123861d2d
1514650ec996b6
hexa2fb41648f5

11200001100021 has 48 divisors (see below), whose sum is σ = 17086479508800. Its totient is φ = 7061486978304.

The previous prime is 11200001099999. The next prime is 11200001100031. The reversal of 11200001100021 is 12000110000211.

It is a happy number.

11200001100021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11200001100021 - 27 = 11200001099893 is a prime.

It is a super-2 number, since 2×112000011000212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11200001099976 and 11200001100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200001100031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1454011 + ... + 4951176.

It is an arithmetic number, because the mean of its divisors is an integer number (355968323100).

Almost surely, 211200001100021 is an apocalyptic number.

It is an amenable number.

11200001100021 is a deficient number, since it is larger than the sum of its proper divisors (5886478408779).

11200001100021 is a wasteful number, since it uses less digits than its factorization.

11200001100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6405378 (or 6405375 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11200001100021 its reverse (12000110000211), we get a palindrome (23200111100232).

The spelling of 11200001100021 in words is "eleven trillion, two hundred billion, one million, one hundred thousand, twenty-one".

Divisors: 1 3 9 37 59 89 111 177 267 333 531 801 2183 3293 5251 6549 9879 15753 19647 29637 47259 194287 582861 1748583 6405187 19215561 57646683 236991919 377906033 570061643 710975757 1133718099 1710184929 2132927271 3401154297 5130554787 13982523221 21092280791 33633636937 41947569663 63276842373 100900910811 125842708989 189830527119 302702732433 1244444566669 3733333700007 11200001100021