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10302213200 = 245225755533
BaseRepresentation
bin10011001100000111…
…10100110001010000
3222120222102122200212
421212003310301100
5132044331310300
64422140103252
7513204236666
oct114603646120
928528378625
1010302213200
114407370294
121bb6234b28
13c824b1756
146da350c36
154046a7935
hex2660f4c50

10302213200 has 30 divisors (see below), whose sum is σ = 24751068174. Its totient is φ = 4120885120.

The previous prime is 10302213157. The next prime is 10302213209. The reversal of 10302213200 is 231220301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1252876816 + 9049336384 = 35396^2 + 95128^2 .

It is a super-2 number, since 2×103022132002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302213209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12877367 + ... + 12878166.

Almost surely, 210302213200 is an apocalyptic number.

10302213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10302213200 is an abundant number, since it is smaller than the sum of its proper divisors (14448854974).

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

10302213200 is a wasteful number, since it uses less digits than its factorization.

10302213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25755551 (or 25755540 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10302213200 its reverse (231220301), we get a palindrome (10533433501).

The spelling of 10302213200 in words is "ten billion, three hundred two million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 25755533 51511066 103022132 128777665 206044264 257555330 412088528 515110660 643888325 1030221320 1287776650 2060442640 2575553300 5151106600 10302213200