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10311284220 = 22358312231693
BaseRepresentation
bin10011001101001100…
…11011010111111100
3222121121111111210120
421212212123113330
5132104142043340
64423102334540
7513344320056
oct114646332774
928547444716
1010311284220
1144114a64a6
121bb928a450
13c84339513
146db6328d6
1540539a4d0
hex26699b5fc

10311284220 has 96 divisors (see below), whose sum is σ = 29260611072. Its totient is φ = 2712722688.

The previous prime is 10311284219. The next prime is 10311284251. The reversal of 10311284220 is 2248211301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6089694 + ... + 6091386.

It is an arithmetic number, because the mean of its divisors is an integer number (304798032).

Almost surely, 210311284220 is an apocalyptic number.

10311284220 is a gapful number since it is divisible by the number (10) 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 10311284220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630305536).

10311284220 is an abundant number, since it is smaller than the sum of its proper divisors (18949326852).

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

10311284220 is a wasteful number, since it uses less digits than its factorization.

10311284220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10311284220 its reverse (2248211301), we get a palindrome (12559495521).

The spelling of 10311284220 in words is "ten billion, three hundred eleven million, two hundred eighty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1223 1245 1660 1693 2446 2490 3386 3669 4892 4980 5079 6115 6772 7338 8465 10158 12230 14676 16930 18345 20316 24460 25395 33860 36690 50790 73380 101509 101580 140519 203018 281038 304527 406036 421557 507545 562076 609054 702595 843114 1015090 1218108 1405190 1522635 1686228 2030180 2070539 2107785 2810380 3045270 4141078 4215570 6090540 6211617 8282156 8431140 10352695 12423234 20705390 24846468 31058085 41410780 62116170 124232340 171854737 343709474 515564211 687418948 859273685 1031128422 1718547370 2062256844 2577821055 3437094740 5155642110 10311284220