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101040232320 = 2732517541707
BaseRepresentation
bin101111000011001110…
…1111001011110000000
3100122210200000121201200
41132012131321132000
53123412244413240
6114230042501200
710204604542536
oct1360635713600
9318720017650
10101040232320
113993a639035
12176ba204800
1396b3195121
144c67282156
152965716930
hex1786779780

101040232320 has 96 divisors (see below), whose sum is σ = 348904572120. Its totient is φ = 26944060416.

The previous prime is 101040232313. The next prime is 101040232327. The reversal of 101040232320 is 23232040101.

101040232320 is a `hidden beast` number, since 10 + 104 + 0 + 232 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (101040232313) and next prime (101040232327).

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 junction number, because it is equal to n+sod(n) for n = 101040232293 and 101040232302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101040232327) 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 11 ways as a sum of consecutive naturals, for example, 8765094 + ... + 8776613.

Almost surely, 2101040232320 is an apocalyptic number.

101040232320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101040232320 is an abundant number, since it is smaller than the sum of its proper divisors (247864339800).

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

101040232320 is a wasteful number, since it uses less digits than its factorization.

101040232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17541732 (or 17541717 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 101040232320 its reverse (23232040101), we get a palindrome (124272272421).

The spelling of 101040232320 in words is "one hundred one billion, forty million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 17541707 35083414 52625121 70166828 87708535 105250242 140333656 157875363 175417070 210500484 263125605 280667312 315750726 350834140 421000968 526251210 561334624 631501452 701668280 789376815 842001936 1052502420 1122669248 1263002904 1403336560 1578753630 1684003872 2105004840 2245338496 2526005808 2806673120 3157507260 3368007744 4210009680 5052011616 5613346240 6315014520 6736015488 8420019360 10104023232 11226692480 12630029040 16840038720 20208046464 25260058080 33680077440 50520116160 101040232320