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10213202200 = 2352172176699
BaseRepresentation
bin10011000001100000…
…10001100100011000
3222100202221102120011
421200300101210120
5131404034432300
64405240211304
7511043533465
oct114060214430
928322842504
1010213202200
1143710a4a83
121b90469b34
13c69c17a16
146cc5c066c
153eb973eba
hex260c11918

10213202200 has 72 divisors (see below), whose sum is σ = 25224808500. Its totient is φ = 3844948480.

The previous prime is 10213202171. The next prime is 10213202201. The reversal of 10213202200 is 220231201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213202201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30550 + ... + 146149.

Almost surely, 210213202200 is an apocalyptic number.

10213202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213202200 is an abundant number, since it is smaller than the sum of its proper divisors (15011606300).

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

10213202200 is a wasteful number, since it uses less digits than its factorization.

10213202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176749 (or 176723 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10213202200 its reverse (220231201), we get a palindrome (10433433401).

The spelling of 10213202200 in words is "ten billion, two hundred thirteen million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 289 340 425 578 680 850 1156 1445 1700 2312 2890 3400 5780 7225 11560 14450 28900 57800 176699 353398 706796 883495 1413592 1766990 3003883 3533980 4417475 6007766 7067960 8834950 12015532 15019415 17669900 24031064 30038830 35339800 51066011 60077660 75097075 102132022 120155320 150194150 204264044 255330055 300388300 408528088 510660110 600776600 1021320220 1276650275 2042640440 2553300550 5106601100 10213202200