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23032103331040 = 2551018771625147
BaseRepresentation
bin1010011110010100101000…
…10101100110010011100000
310000112211212212210222020121
411033022110111212103200
511004324221423043130
6120552445135250024
74565004664054216
oct517122425462340
9100484785728217
1023032103331040
11737a950980561
1226bb938979914
13cb0bc1b91abb
14598a8ca74cb6
1529e1b7bc7d7a
hex14f2945664e0

23032103331040 has 96 divisors (see below), whose sum is σ = 55014783120864. Its totient is φ = 9111218534400.

The previous prime is 23032103331031. The next prime is 23032103331077. The reversal of 23032103331040 is 4013330123032.

23032103331040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 23032103330996 and 23032103331014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13359747 + ... + 14984893.

It is an arithmetic number, because the mean of its divisors is an integer number (573070657509).

Almost surely, 223032103331040 is an apocalyptic number.

23032103331040 is a gapful number since it is divisible by the number (20) 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 23032103331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27507391560432).

23032103331040 is an abundant number, since it is smaller than the sum of its proper divisors (31982679789824).

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

23032103331040 is a wasteful number, since it uses less digits than its factorization.

23032103331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626140 (or 1626132 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 23032103331040 its reverse (4013330123032), we get a palindrome (27045433454072).

The spelling of 23032103331040 in words is "twenty-three trillion, thirty-two billion, one hundred three million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 877 1010 1616 1754 2020 3232 3508 4040 4385 7016 8080 8770 14032 16160 17540 28064 35080 70160 88577 140320 177154 354308 442885 708616 885770 1417232 1625147 1771540 2834464 3250294 3543080 6500588 7086160 8125735 13001176 14172320 16251470 26002352 32502940 52004704 65005880 130011760 164139847 260023520 328279694 656559388 820699235 1313118776 1425253919 1641398470 2626237552 2850507838 3282796940 5252475104 5701015676 6565593880 7126269595 11402031352 13131187760 14252539190 22804062704 26262375520 28505078380 45608125408 57010156760 114020313520 143950645819 228040627040 287901291638 575802583276 719753229095 1151605166552 1439506458190 2303210333104 2879012916380 4606420666208 5758025832760 11516051665520 23032103331040