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100030223232 = 2732259333487
BaseRepresentation
bin101110100101001000…
…1000001001110000000
3100120012021111211201200
41131022101001032000
53114330214120412
6113541522501200
710140561603612
oct1351221011600
9316167454650
10100030223232
11394714a9285
1217477b04800
139581b62204
144bad08adb2
152906c099dc
hex174a441380

100030223232 has 96 divisors (see below), whose sum is σ = 287966995680. Its totient is φ = 33329553408.

The previous prime is 100030223207. The next prime is 100030223233. The reversal of 100030223232 is 232322030001.

It is a happy number.

100030223232 is a `hidden beast` number, since 100 + 0 + 302 + 232 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (100030223233) 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 11 ways as a sum of consecutive naturals, for example, 2970393 + ... + 3003879.

It is an arithmetic number, because the mean of its divisors is an integer number (2999656205).

Almost surely, 2100030223232 is an apocalyptic number.

100030223232 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 100030223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143983497840).

100030223232 is an abundant number, since it is smaller than the sum of its proper divisors (187936772448).

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

100030223232 is a wasteful number, since it uses less digits than its factorization.

100030223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36100 (or 36085 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100030223232 its reverse (232322030001), we get a palindrome (332352253233).

The spelling of 100030223232 in words is "one hundred billion, thirty million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2593 5186 7779 10372 15558 20744 23337 31116 33487 41488 46674 62232 66974 82976 93348 100461 124464 133948 165952 186696 200922 248928 267896 301383 331904 373392 401844 497856 535792 602766 746784 803688 995712 1071584 1205532 1493568 1607376 2143168 2411064 2987136 3214752 4286336 4822128 6429504 9644256 12859008 19288512 38577024 86831791 173663582 260495373 347327164 520990746 694654328 781486119 1041981492 1389308656 1562972238 2083962984 2778617312 3125944476 4167925968 5557234624 6251888952 8335851936 11114469248 12503777904 16671703872 25007555808 33343407744 50015111616 100030223232