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103211172 = 22341572029
BaseRepresentation
bin1100010011011…
…10000010100100
321012012200010000
412021232002210
5202410224142
614124101300
72362165131
oct611560244
9235180100
10103211172
1153295099
122a694830
13184c92cc
14d9c9588
1590db14c
hex626e0a4

103211172 has 60 divisors (see below), whose sum is σ = 271666780. Its totient is φ = 34167744.

The previous prime is 103211153. The next prime is 103211197. The reversal of 103211172 is 271112301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 75585636 + 27625536 = 8694^2 + 5256^2 .

It is a super-2 number, since 2×1032111722 = 21305092051227168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49854 + ... + 51882.

Almost surely, 2103211172 is an apocalyptic number.

103211172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103211172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135833390).

103211172 is an abundant number, since it is smaller than the sum of its proper divisors (168455608).

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

103211172 is a wasteful number, since it uses less digits than its factorization.

103211172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 103211172 is about 10159.2899358174. The cubic root of 103211172 is about 469.0749452505.

Adding to 103211172 its reverse (271112301), we get a palindrome (374323473).

The spelling of 103211172 in words is "one hundred three million, two hundred eleven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 314 324 471 628 942 1413 1884 2029 2826 4058 4239 5652 6087 8116 8478 12174 12717 16956 18261 24348 25434 36522 50868 54783 73044 109566 164349 219132 318553 328698 637106 657396 955659 1274212 1911318 2866977 3822636 5733954 8600931 11467908 17201862 25802793 34403724 51605586 103211172