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10210505332 = 22531373171109
BaseRepresentation
bin10011000001001011…
…11111001001110100
3222100120212102011011
421200211333021310
5131402342132312
64405102322004
7511011602056
oct114045771164
928316772134
1010210505332
11436a622865
121b8b589304
13c694b2341
146cc0bb8d6
153eb5deda7
hex26097f274

10210505332 has 48 divisors (see below), whose sum is σ = 18412848720. Its totient is φ = 4952210432.

The previous prime is 10210505317. The next prime is 10210505353. The reversal of 10210505332 is 23350501201.

10210505332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1883212816 + 8327292516 = 43396^2 + 91254^2 .

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, 9206394 + ... + 9207502.

It is an arithmetic number, because the mean of its divisors is an integer number (383601015).

Almost surely, 210210505332 is an apocalyptic number.

It is an amenable number.

10210505332 is a deficient number, since it is larger than the sum of its proper divisors (8202343388).

10210505332 is a wasteful number, since it uses less digits than its factorization.

10210505332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The spelling of 10210505332 in words is "ten billion, two hundred ten million, five hundred five thousand, three hundred thirty-two".

Divisors: 1 2 4 53 106 137 212 274 317 548 634 1109 1268 2218 4436 7261 14522 16801 29044 33602 43429 58777 67204 86858 117554 151933 173716 235108 303866 351553 607732 703106 1406212 2301737 4603474 8052449 9206948 16104898 18632309 32209796 37264618 48162761 74529236 96325522 192651044 2552626333 5105252666 10210505332