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10132311100 = 22521722291531
BaseRepresentation
bin10010110111110111…
…01100110000111100
3222011010201201211111
421123323230300330
5131222332423400
64353230331404
7506042136412
oct113373546074
928133651744
1010132311100
11432a47532a
121b69359b64
13c56234b72
146c19652b2
153e47e63ba
hex25beecc3c

10132311100 has 108 divisors (see below), whose sum is σ = 23473870840. Its totient is φ = 3795379200.

The previous prime is 10132311067. The next prime is 10132311103. The reversal of 10132311100 is 111323101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132311103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6617335 + ... + 6618865.

Almost surely, 210132311100 is an apocalyptic number.

10132311100 is a gapful number since it is divisible by the number (10) 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 10132311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11736935420).

10132311100 is an abundant number, since it is smaller than the sum of its proper divisors (13341559740).

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

10132311100 is a wasteful number, since it uses less digits than its factorization.

10132311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10132311100 its reverse (111323101), we get a palindrome (10243634201).

The spelling of 10132311100 in words is "ten billion, one hundred thirty-two million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 229 289 340 425 458 578 850 916 1145 1156 1445 1531 1700 2290 2890 3062 3893 4580 5725 5780 6124 7225 7655 7786 11450 14450 15310 15572 19465 22900 26027 28900 30620 38275 38930 52054 66181 76550 77860 97325 104108 130135 132362 153100 194650 260270 264724 330905 350599 389300 442459 520540 650675 661810 701198 884918 1301350 1323620 1402396 1654525 1752995 1769836 2212295 2602700 3309050 3505990 4424590 5960183 6618100 7011980 8764975 8849180 11061475 11920366 17529950 22122950 23840732 29800915 35059900 44245900 59601830 101323111 119203660 149004575 202646222 298009150 405292444 506615555 596018300 1013231110 2026462220 2533077775 5066155550 10132311100