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100231201332 = 223310115715849
BaseRepresentation
bin101110101011000111…
…1101100001000110100
3100120201021200120212000
41131112033230020310
53120233141420312
6114013502255300
710145552103603
oct1352617541064
9316637616760
10100231201332
113956499a089
1217513287530
1395b469c772
144bcba45a3a
1529196a8adc
hex17563ec234

100231201332 has 96 divisors (see below), whose sum is σ = 262643472000. Its totient is φ = 33052896000.

The previous prime is 100231201271. The next prime is 100231201333. The reversal of 100231201332 is 233102132001.

100231201332 is a `hidden beast` number, since 100 + 2 + 31 + 201 + 332 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100231201333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17133544 + ... + 17139392.

It is an arithmetic number, because the mean of its divisors is an integer number (2735869500).

Almost surely, 2100231201332 is an apocalyptic number.

100231201332 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 100231201332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131321736000).

100231201332 is an abundant number, since it is smaller than the sum of its proper divisors (162412270668).

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

100231201332 is a wasteful number, since it uses less digits than its factorization.

100231201332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7534 (or 7526 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100231201332 its reverse (233102132001), we get a palindrome (333333333333).

The spelling of 100231201332 in words is "one hundred billion, two hundred thirty-one million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1571 1818 2727 3142 3636 4713 5454 5849 6284 9426 10908 11698 14139 17547 18852 23396 28278 35094 42417 52641 56556 70188 84834 105282 157923 158671 169668 210564 315846 317342 476013 590749 631692 634684 952026 1181498 1428039 1772247 1904052 2362996 2856078 3544494 4284117 5316741 5712156 7088988 8568234 9188779 10633482 15950223 17136468 18377558 21266964 27566337 31900446 36755116 55132674 63800892 82699011 110265348 165398022 248097033 330796044 496194066 928066679 992388132 1856133358 2784200037 3712266716 5568400074 8352600111 11136800148 16705200222 25057800333 33410400444 50115600666 100231201332