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11021143635152 = 247379372838359
BaseRepresentation
bin1010000001100000111101…
…0110011111010011010000
31110000121111110010122001122
42200120033112133103100
52421032300232311102
635235013221021412
72215152133131440
oct240301726372320
943017443118048
1011021143635152
11356a04a296a52
12129bb7a854868
1361c39ba19981
142a15d76b8120
15141a42a2a0a2
hexa060f59f4d0

11021143635152 has 80 divisors (see below), whose sum is σ = 25090284952320. Its totient is φ = 4590782936064.

The previous prime is 11021143635149. The next prime is 11021143635223. The reversal of 11021143635152 is 25153634112011.

It is a happy number.

It is a congruent number.

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, 2463749 + ... + 5302107.

It is an arithmetic number, because the mean of its divisors is an integer number (313628561904).

Almost surely, 211021143635152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021143635152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12545142476160).

11021143635152 is an abundant number, since it is smaller than the sum of its proper divisors (14069141317168).

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

11021143635152 is a wasteful number, since it uses less digits than its factorization.

11021143635152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839348 (or 2839342 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

Adding to 11021143635152 its reverse (25153634112011), we get a palindrome (36174777747163).

The spelling of 11021143635152 in words is "eleven trillion, twenty-one billion, one hundred forty-three million, six hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 937 1036 1874 2072 3748 4144 6559 7496 13118 14992 26236 34669 52472 69338 104944 138676 242683 277352 485366 554704 970732 1941464 2838359 3882928 5676718 11353436 19868513 22706872 39737026 45413744 79474052 105019283 158948104 210038566 317896208 420077132 735134981 840154264 1470269962 1680308528 2659542383 2940539924 5319084766 5881079848 10638169532 11762159696 18616796681 21276339064 37233593362 42552678128 74467186724 98403068171 148934373448 196806136342 297868746896 393612272684 688821477197 787224545368 1377642954394 1574449090736 2755285908788 5510571817576 11021143635152