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10302322772 = 2273752119087
BaseRepresentation
bin10011001100001000…
…01111100001010100
3222120222122020000002
421212010033201110
5132044343312042
64422142310432
7513205204310
oct114604174124
928528566002
1010302322772
114407435645
121bb6288418
13c8251c5a1
146da37cb40
154046ca132
hex26610f854

10302322772 has 48 divisors (see below), whose sum is σ = 21203255808. Its totient is φ = 4287479040.

The previous prime is 10302322759. The next prime is 10302322843. The reversal of 10302322772 is 27722320301.

It is a happy number.

It is a super-2 number, since 2×103023227722 (a number of 21 digits) contains 22 as substring.

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, 530213 + ... + 549299.

It is an arithmetic number, because the mean of its divisors is an integer number (441734496).

Almost surely, 210302322772 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 10302322772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10601627904).

10302322772 is an abundant number, since it is smaller than the sum of its proper divisors (10900933036).

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

10302322772 is a wasteful number, since it uses less digits than its factorization.

10302322772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19656 (or 19654 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The spelling of 10302322772 in words is "ten billion, three hundred two million, three hundred twenty-two thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 28 37 74 148 259 518 521 1036 1042 2084 3647 7294 14588 19087 19277 38174 38554 76348 77108 133609 134939 267218 269878 534436 539756 706219 1412438 2824876 4943533 9887066 9944327 19774132 19888654 39777308 69610289 139220578 278441156 367940099 735880198 1471760396 2575580693 5151161386 10302322772