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101330532 = 22324367977
BaseRepresentation
bin1100000101000…
…10111001100100
321001200010100200
412002202321210
5201420034112
614015510500
72340203202
oct602427144
9231603320
10101330532
1152220146
1229b28430
1317cbb2c4
14d65a072
158d68cdc
hex60a2e64

101330532 has 72 divisors (see below), whose sum is σ = 266282016. Its totient is φ = 32465664.

The previous prime is 101330519. The next prime is 101330549. The reversal of 101330532 is 235033101.

101330532 is a `hidden beast` number, since 1 + 0 + 133 + 0 + 532 = 666.

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 23 ways as a sum of consecutive naturals, for example, 103228 + ... + 104204.

Almost surely, 2101330532 is an apocalyptic number.

101330532 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 101330532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133141008).

101330532 is an abundant number, since it is smaller than the sum of its proper divisors (164951484).

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

101330532 is a wasteful number, since it uses less digits than its factorization.

101330532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 101330532 is about 10066.3067706086. The cubic root of 101330532 is about 466.2084143299.

Adding to 101330532 its reverse (235033101), we get a palindrome (336363633).

The spelling of 101330532 in words is "one hundred one million, three hundred thirty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 67 86 129 134 172 201 258 268 387 402 516 603 774 804 977 1206 1548 1954 2412 2881 2931 3908 5762 5862 8643 8793 11524 11724 17286 17586 25929 34572 35172 42011 51858 65459 84022 103716 126033 130918 168044 196377 252066 261836 378099 392754 504132 589131 756198 785508 1178262 1512396 2356524 2814737 5629474 8444211 11258948 16888422 25332633 33776844 50665266 101330532