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10202213032 = 23111631674259
BaseRepresentation
bin10011000000001100…
…10110101010101000
3222100000021010020221
421200012112222220
5131343231304112
64404204455424
7510551244214
oct114006265250
928300233227
1010202213032
114365979720
121b8884a574
13c6786ab5b
146cad5d944
153eaa02e07
hex260196aa8

10202213032 has 64 divisors (see below), whose sum is σ = 21126873600. Its totient is φ = 4580245440.

The previous prime is 10202212987. The next prime is 10202213051. The reversal of 10202213032 is 23031220201.

It is a junction number, because it is equal to n+sod(n) for n = 10202212997 and 10202213015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2393319 + ... + 2397577.

It is an arithmetic number, because the mean of its divisors is an integer number (330107400).

Almost surely, 210202213032 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 10202213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10563436800).

10202213032 is an abundant number, since it is smaller than the sum of its proper divisors (10924660568).

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

10202213032 is a wasteful number, since it uses less digits than its factorization.

10202213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10202213032 its reverse (23031220201), we get a palindrome (33233433233).

The spelling of 10202213032 in words is "ten billion, two hundred two million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 163 167 326 334 652 668 1304 1336 1793 1837 3586 3674 4259 7172 7348 8518 14344 14696 17036 27221 34072 46849 54442 93698 108884 187396 217768 299431 374792 598862 694217 711253 1197724 1388434 1422506 2395448 2776868 2845012 5553736 5690024 7636387 7823783 15272774 15647566 30545548 31295132 61091096 62590264 115934239 231868478 463736956 927473912 1275276629 2550553258 5101106516 10202213032