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11260005112 = 2319432297523
BaseRepresentation
bin10100111110010011…
…00000101011111000
31002001201200112012101
422133021200223320
5141030030130422
65101152553144
7546014315146
oct123711405370
932051615171
1011260005112
114858a85554
122222b527b4
1310a5a61025
1478b632596
1545d7ecc27
hex29f260af8

11260005112 has 64 divisors (see below), whose sum is σ = 22842864000. Its totient is φ = 5186208384.

The previous prime is 11260005103. The next prime is 11260005149. The reversal of 11260005112 is 21150006211.

11260005112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112600051122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 11260005112.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1492983 + ... + 1500505.

It is an arithmetic number, because the mean of its divisors is an integer number (356919750).

Almost surely, 211260005112 is an apocalyptic number.

It is an amenable number.

11260005112 is an abundant number, since it is smaller than the sum of its proper divisors (11582858888).

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

11260005112 is a wasteful number, since it uses less digits than its factorization.

11260005112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7820 (or 7816 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The spelling of 11260005112 in words is "eleven billion, two hundred sixty million, five thousand, one hundred twelve".

Divisors: 1 2 4 8 19 38 43 76 86 152 172 229 344 458 817 916 1634 1832 3268 4351 6536 7523 8702 9847 15046 17404 19694 30092 34808 39388 60184 78776 142937 187093 285874 323489 374186 571748 646978 748372 1143496 1293956 1496744 1722767 2587912 3445534 6146291 6891068 12292582 13782136 24585164 32732573 49170328 65465146 74078981 130930292 148157962 261860584 296315924 592631848 1407500639 2815001278 5630002556 11260005112