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10111200021 = 3213838911699
BaseRepresentation
bin10010110101010110…
…01010101100010101
3222002200000011212200
421122223022230111
5131201431400041
64351154035113
7505364532156
oct113253125425
928080004780
1010111200021
11431956625a
121b62278a99
13c51a52ac0
146bcc2b92d
153e2a261b6
hex25aacab15

10111200021 has 48 divisors (see below), whose sum is σ = 16098264000. Its totient is φ = 6077719296.

The previous prime is 10111200019. The next prime is 10111200053. The reversal of 10111200021 is 12000211101.

It is a happy number.

10111200021 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 10111200021 - 21 = 10111200019 is a prime.

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 = 10111199976 and 10111200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111200061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 858430 + ... + 870128.

It is an arithmetic number, because the mean of its divisors is an integer number (335380500).

Almost surely, 210111200021 is an apocalyptic number.

It is an amenable number.

10111200021 is a deficient number, since it is larger than the sum of its proper divisors (5987063979).

10111200021 is a wasteful number, since it uses less digits than its factorization.

10111200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11890 (or 11887 counting only the distinct ones).

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

Adding to 10111200021 its reverse (12000211101), we get a palindrome (22111411122).

The spelling of 10111200021 in words is "ten billion, one hundred eleven million, two hundred thousand, twenty-one".

Divisors: 1 3 9 13 39 83 89 117 249 267 747 801 1079 1157 3237 3471 7387 9711 10413 11699 22161 35097 66483 96031 105291 152087 288093 456261 864279 971017 1041211 1368783 2913051 3123633 8739153 9370899 12623221 13535743 37869663 40607229 86420513 113608989 121821687 259261539 777784617 1123466669 3370400007 10111200021