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103101102 = 232133161233
BaseRepresentation
bin1100010010100…
…11001010101110
321012000002010100
412021103022232
5202343213402
614121451530
72361226206
oct611231256
9235002110
10103101102
115321a425
122a640ba6
131848b190
14d99b406
1590b871c
hex62532ae

103101102 has 96 divisors (see below), whose sum is σ = 253483776. Its totient is φ = 30067200.

The previous prime is 103101077. The next prime is 103101109. The reversal of 103101102 is 201101301.

It is a super-2 number, since 2×1031011022 = 21259674467228808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103101109) 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 47 ways as a sum of consecutive naturals, for example, 442378 + ... + 442610.

It is an arithmetic number, because the mean of its divisors is an integer number (2640456).

Almost surely, 2103101102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126741888).

103101102 is an abundant number, since it is smaller than the sum of its proper divisors (150382674).

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

103101102 is a wasteful number, since it uses less digits than its factorization.

103101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 103101102 is about 10153.8712814374. The cubic root of 103101102 is about 468.9081369384.

Adding to 103101102 its reverse (201101301), we get a palindrome (304202403).

The spelling of 103101102 in words is "one hundred three million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 31 39 61 62 78 93 117 122 183 186 233 234 279 366 403 466 549 558 699 793 806 1098 1209 1398 1586 1891 2097 2379 2418 3029 3627 3782 4194 4758 5673 6058 7137 7223 7254 9087 11346 14213 14274 14446 17019 18174 21669 24583 27261 28426 34038 42639 43338 49166 54522 65007 73749 85278 93899 127917 130014 147498 184769 187798 221247 255834 281697 369538 440603 442494 554307 563394 845091 881206 1108614 1321809 1662921 1690182 2643618 3325842 3965427 5727839 7930854 11455678 17183517 34367034 51550551 103101102