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10232223100 = 22521119348197
BaseRepresentation
bin10011000011110001…
…10101010101111100
3222102002201210022221
421201320311111330
5131423422114400
64411200015124
7511364314141
oct114170652574
928362653287
1010232223100
114380906730
121b969014a4
13c70b475a8
146d0d323c8
153ed47ec1a
hex261e3557c

10232223100 has 72 divisors (see below), whose sum is σ = 24348472848. Its totient is φ = 3701452800.

The previous prime is 10232223077. The next prime is 10232223107. The reversal of 10232223100 is 132223201.

It is a super-2 number, since 2×102322231002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232223107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188202 + ... + 236398.

It is an arithmetic number, because the mean of its divisors is an integer number (338173234).

Almost surely, 210232223100 is an apocalyptic number.

10232223100 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 10232223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12174236424).

10232223100 is an abundant number, since it is smaller than the sum of its proper divisors (14116249748).

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

10232223100 is a wasteful number, since it uses less digits than its factorization.

10232223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48415 (or 48408 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10232223100 its reverse (132223201), we get a palindrome (10364446301).

It can be divided in two parts, 10232 and 223100, that added together give a palindrome (233332).

The spelling of 10232223100 in words is "ten billion, two hundred thirty-two million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 193 220 275 386 550 772 965 1100 1930 2123 3860 4246 4825 8492 9650 10615 19300 21230 42460 48197 53075 96394 106150 192788 212300 240985 481970 530167 963940 1060334 1204925 2120668 2409850 2650835 4819700 5301670 9302021 10603340 13254175 18604042 26508350 37208084 46510105 53016700 93020210 102322231 186040420 204644462 232550525 409288924 465101050 511611155 930202100 1023222310 2046444620 2558055775 5116111550 10232223100