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103831245 = 32574312
BaseRepresentation
bin1100011000001…
…01011011001101
321020101011200200
412030011123031
5203040044440
614145244113
72400360000
oct614053315
9236334620
10103831245
1153678a51
122a933639
131868560b
14db0b537
1591aec30
hex63056cd

103831245 has 90 divisors (see below), whose sum is σ = 216948654. Its totient is φ = 45934560.

The previous prime is 103831243. The next prime is 103831261. The reversal of 103831245 is 542138301.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 83064996 + 20766249 = 9114^2 + 4557^2 .

It is not a de Polignac number, because 103831245 - 21 = 103831243 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103831241) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 3349380 + ... + 3349410.

Almost surely, 2103831245 is an apocalyptic number.

103831245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103831245 is an abundant number, since it is smaller than the sum of its proper divisors (113117409).

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

103831245 is an frugal number, since it uses more digits than its factorization.

103831245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 103831245 is about 10189.7617734665. The cubic root of 103831245 is about 470.0124411978.

Multiplying 103831245 by its product of nonzero digits (2880), we get a square (299033985600 = 5468402).

Adding to 103831245 its reverse (542138301), we get a palindrome (645969546).

It can be divided in two parts, 10383 and 1245, that added together give a triangular number (11628 = T152).

The spelling of 103831245 in words is "one hundred three million, eight hundred thirty-one thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 49 63 93 105 147 155 217 245 279 315 343 441 465 651 735 961 1029 1085 1395 1519 1715 1953 2205 2401 2883 3087 3255 4557 4805 5145 6727 7203 7595 8649 9765 10633 12005 13671 14415 15435 20181 21609 22785 31899 33635 36015 43245 47089 53165 60543 68355 74431 95697 100905 108045 141267 159495 223293 235445 302715 329623 372155 423801 478485 669879 706335 988869 1116465 1648115 2119005 2307361 2966607 3349395 4944345 6922083 11536805 14833035 20766249 34610415 103831245