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11312002224 = 2432569138059
BaseRepresentation
bin10101000100011111…
…10111010010110000
31002012100112020211100
422202033313102300
5141131333032344
65110251244400
7550215301215
oct124217672260
932170466740
1011312002224
11488536a776
122238449700
1310b3768453
147944c9b0c
1546316e569
hex2a23f74b0

11312002224 has 60 divisors (see below), whose sum is σ = 31713762600. Its totient is φ = 3764013312.

The previous prime is 11312002201. The next prime is 11312002237. The reversal of 11312002224 is 42220021311.

It is a happy number.

11312002224 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 2×113120022242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11312002197 and 11312002206.

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 11 ways as a sum of consecutive naturals, for example, 12907 + ... + 150965.

It is an arithmetic number, because the mean of its divisors is an integer number (528562710).

Almost surely, 211312002224 is an apocalyptic number.

It is an amenable number.

11312002224 is an abundant number, since it is smaller than the sum of its proper divisors (20401760376).

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

11312002224 is a wasteful number, since it uses less digits than its factorization.

11312002224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138642 (or 138633 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11312002224 its reverse (42220021311), we get a palindrome (53532023535).

The spelling of 11312002224 in words is "eleven billion, three hundred twelve million, two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 569 1138 1707 2276 3414 4552 5121 6828 9104 10242 13656 20484 27312 40968 81936 138059 276118 414177 552236 828354 1104472 1242531 1656708 2208944 2485062 3313416 4970124 6626832 9940248 19880496 78555571 157111142 235666713 314222284 471333426 628444568 707000139 942666852 1256889136 1414000278 1885333704 2828000556 3770667408 5656001112 11312002224