Search a number
-
+
1011302213103 = 327132942579353
BaseRepresentation
bin11101011011101100100…
…11110010010111101111
310120200100101112100011100
432231312103302113233
5113032121331304403
62052330312054143
7133031003656440
oct16556623622757
93520311470140
101011302213103
1135a988809986
12143bb7094353
13744999b73c0
1436d395052c7
151b48db002a3
hexeb764f25ef

1011302213103 has 48 divisors (see below), whose sum is σ = 1859866182720. Its totient is φ = 515039841792.

The previous prime is 1011302213083. The next prime is 1011302213113. The reversal of 1011302213103 is 3013122031101.

1011302213103 is a `hidden beast` number, since 1 + 0 + 1 + 130 + 221 + 310 + 3 = 666.

It is not a de Polignac number, because 1011302213103 - 221 = 1011300115951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011302213113) 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, 21265926 + ... + 21313427.

It is an arithmetic number, because the mean of its divisors is an integer number (38747212140).

Almost surely, 21011302213103 is an apocalyptic number.

1011302213103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1011302213103 is a deficient number, since it is larger than the sum of its proper divisors (848563969617).

1011302213103 is a wasteful number, since it uses less digits than its factorization.

1011302213103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42579408 (or 42579405 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1011302213103 its reverse (3013122031101), we get a palindrome (4024424244204).

The spelling of 1011302213103 in words is "one trillion, eleven billion, three hundred two million, two hundred thirteen thousand, one hundred three".

Divisors: 1 3 7 9 13 21 29 39 63 87 91 117 203 261 273 377 609 819 1131 1827 2639 3393 7917 23751 42579353 127738059 298055471 383214177 553531589 894166413 1234801237 1660594767 2682499239 3704403711 3874721123 4981784301 8643608659 11113211133 11624163369 16052416081 25930825977 34872490107 48157248243 77792477931 112366912567 144471744729 337100737701 1011302213103