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101113223232 = 2637210747579
BaseRepresentation
bin101111000101011010…
…0010101100001000000
3100122222202100221102210
41132022310111201000
53124034441120412
6114241211142120
710206452134200
oct1361264254100
9318882327383
10101113223232
11399778621aa
121771a744940
1396c5340108
144c72c42400
15296bd3383c
hex178ad15840

101113223232 has 84 divisors (see below), whose sum is σ = 311206926480. Its totient is φ = 28889489664.

The previous prime is 101113223219. The next prime is 101113223251. The reversal of 101113223232 is 232322311101.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101113223199 and 101113223208.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5364382 + ... + 5383197.

Almost surely, 2101113223232 is an apocalyptic number.

101113223232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101113223232 is an abundant number, since it is smaller than the sum of its proper divisors (210093703248).

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

101113223232 is a wasteful number, since it uses less digits than its factorization.

101113223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10747608 (or 10747591 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101113223232 its reverse (232322311101), we get a palindrome (333435534333).

The spelling of 101113223232 in words is "one hundred one billion, one hundred thirteen million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 10747579 21495158 32242737 42990316 64485474 75233053 85980632 128970948 150466106 171961264 225699159 257941896 300932212 343922528 451398318 515883792 526631371 601864424 687845056 902796636 1031767584 1053262742 1203728848 1579894113 1805593272 2063535168 2106525484 2407457696 3159788226 3611186544 4213050968 4814915392 6319576452 7222373088 8426101936 12639152904 14444746176 16852203872 25278305808 33704407744 50556611616 101113223232