Search a number
-
+
1110301023100 = 225297569201167
BaseRepresentation
bin10000001010000011000…
…110010001101101111100
310221010212210020221220211
4100022003012101231330
5121142344030214400
62210022032122204
7143134202656603
oct20120306215574
93833783227824
101110301023100
1139896aa89125
1215b225696364
1380915c61109
143ba4b5c8a3a
151dd34ec0dba
hex10283191b7c

1110301023100 has 72 divisors (see below), whose sum is σ = 2438482052160. Its totient is φ = 438767185920.

The previous prime is 1110301023077. The next prime is 1110301023101. The reversal of 1110301023100 is 13201030111.

It is a super-2 number, since 2×11103010231002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110301023101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5418717 + ... + 5619883.

It is an arithmetic number, because the mean of its divisors is an integer number (33867806280).

Almost surely, 21110301023100 is an apocalyptic number.

1110301023100 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 1110301023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219241026080).

1110301023100 is an abundant number, since it is smaller than the sum of its proper divisors (1328181029060).

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

1110301023100 is a wasteful number, since it uses less digits than its factorization.

1110301023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201847 (or 201840 counting only the distinct ones).

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

Adding to 1110301023100 its reverse (13201030111), we get a palindrome (1123502053211).

The spelling of 1110301023100 in words is "one trillion, one hundred ten billion, three hundred one million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 569 970 1138 1940 2276 2425 2845 4850 5690 9700 11380 14225 28450 55193 56900 110386 201167 220772 275965 402334 551930 804668 1005835 1103860 1379825 2011670 2759650 4023340 5029175 5519300 10058350 19513199 20116700 39026398 78052796 97565995 114464023 195131990 228928046 390263980 457856092 487829975 572320115 975659950 1144640230 1951319900 2289280460 2861600575 5723201150 11103010231 11446402300 22206020462 44412040924 55515051155 111030102310 222060204620 277575255775 555150511550 1110301023100