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102444331 = 11731131129
BaseRepresentation
bin1100001101100…
…10110100101011
321010202201012111
412012302310223
5202211204311
614055423151
72352522343
oct606626453
9233681174
10102444331
1152910a40
122a384ab7
13182bb262
14d869d23
158ed8d21
hex61b2d2b

102444331 has 16 divisors (see below), whose sum is σ = 114392160. Its totient is φ = 90961920.

The previous prime is 102444311. The next prime is 102444337. The reversal of 102444331 is 133444201.

It is a cyclic number.

It is not a de Polignac number, because 102444331 - 25 = 102444299 is a prime.

It is a super-3 number, since 3×1024443313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (102444337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90175 + ... + 91303.

It is an arithmetic number, because the mean of its divisors is an integer number (7149510).

Almost surely, 2102444331 is an apocalyptic number.

102444331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102444331 is a deficient number, since it is larger than the sum of its proper divisors (11947829).

102444331 is a wasteful number, since it uses less digits than its factorization.

102444331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326.

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 102444331 is about 10121.4786963171. The cubic root of 102444331 is about 467.9103412022.

Adding to 102444331 its reverse (133444201), we get a palindrome (235888532).

The spelling of 102444331 in words is "one hundred two million, four hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 11 73 113 803 1129 1243 8249 12419 82417 90739 127577 906587 1403347 9313121 102444331