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10103223213 = 3210115173607
BaseRepresentation
bin10010110100011001…
…01111001110101101
3222002002222220202100
421122030233032231
5131142411120323
64350311045313
7505236660156
oct113214571655
928062886670
1010103223213
114315008156
121b5b670839
13c501bc0b5
146bbb5292d
153e1e9c943
hex25a32f3ad

10103223213 has 24 divisors (see below), whose sum is σ = 14835839616. Its totient is φ = 6624540000.

The previous prime is 10103223127. The next prime is 10103223217. The reversal of 10103223213 is 31232230101.

10103223213 is a `hidden beast` number, since 10 + 10 + 322 + 321 + 3 = 666.

It is not a de Polignac number, because 10103223213 - 210 = 10103222189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103223217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100456 + ... + 174062.

It is an arithmetic number, because the mean of its divisors is an integer number (618159984).

Almost surely, 210103223213 is an apocalyptic number.

It is an amenable number.

10103223213 is a deficient number, since it is larger than the sum of its proper divisors (4732616403).

10103223213 is a wasteful number, since it uses less digits than its factorization.

10103223213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73865 (or 73862 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10103223213 its reverse (31232230101), we get a palindrome (41335453314).

It can be divided in two parts, 1010 and 3223213, that added together give a palindrome (3224223).

The spelling of 10103223213 in words is "ten billion, one hundred three million, two hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 9 101 151 303 453 909 1359 15251 45753 73607 137259 220821 662463 7434307 11114657 22302921 33343971 66908763 100031913 1122580357 3367741071 10103223213