Search a number
-
+
11012260334352 = 2434137091508671
BaseRepresentation
bin1010000000111111110111…
…0111011000101100010000
31102222202120100122012020220
42200033331313120230100
52420411102121144402
635230543525033040
72214416035253334
oct240177567305420
942882510565226
1011012260334352
113566300962642
12129a2bb855780
1361b5b44a9074
142a0dd399d7c4
151416c2c00dbc
hexa03fddd8b10

11012260334352 has 80 divisors (see below), whose sum is σ = 29150077608960. Its totient is φ = 3580254950400.

The previous prime is 11012260334321. The next prime is 11012260334423. The reversal of 11012260334352 is 25343306221011.

11012260334352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6544977 + ... + 8053647.

It is an arithmetic number, because the mean of its divisors is an integer number (364375970112).

Almost surely, 211012260334352 is an apocalyptic number.

11012260334352 is a gapful number since it is divisible by the number (12) 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 11012260334352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14575038804480).

11012260334352 is an abundant number, since it is smaller than the sum of its proper divisors (18137817274608).

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

11012260334352 is a wasteful number, since it uses less digits than its factorization.

11012260334352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512432 (or 1512426 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 11012260334352 its reverse (25343306221011), we get a palindrome (36355566555363).

The spelling of 11012260334352 in words is "eleven trillion, twelve billion, two hundred sixty million, three hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 3709 7418 11127 14836 22254 29672 44508 59344 89016 152069 178032 304138 456207 608276 912414 1216552 1508671 1824828 2433104 3017342 3649656 4526013 6034684 7299312 9052026 12069368 18104052 24138736 36208104 61855511 72416208 123711022 185566533 247422044 371133066 494844088 742266132 989688176 1484532264 2969064528 5595660739 11191321478 16786982217 22382642956 33573964434 44765285912 67147928868 89530571824 134295857736 229422090299 268591715472 458844180598 688266270897 917688361196 1376532541794 1835376722392 2753065083588 3670753444784 5506130167176 11012260334352