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10232213100 = 2235237921821
BaseRepresentation
bin10011000011110001…
…10010111001101100
3222102002201021121120
421201320302321230
5131423421304400
64411155500540
7511364243034
oct114170627154
928362637546
1010232213100
1143808aa16a
121b968b7750
13c70b42b85
146d0d2c8c4
153ed47bca0
hex261e32e6c

10232213100 has 72 divisors (see below), whose sum is σ = 30405376848. Its totient is φ = 2654841600.

The previous prime is 10232213099. The next prime is 10232213149. The reversal of 10232213100 is 131223201.

10232213100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102322131002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10232213100.

It is an unprimeable number.

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, 449811 + ... + 472010.

Almost surely, 210232213100 is an apocalyptic number.

10232213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10232213100 is an abundant number, since it is smaller than the sum of its proper divisors (20173163748).

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

10232213100 is a wasteful number, since it uses less digits than its factorization.

10232213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921875 (or 921868 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10232213100 its reverse (131223201), we get a palindrome (10363436301).

The spelling of 10232213100 in words is "ten billion, two hundred thirty-two million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 921821 1843642 2765463 3687284 4609105 5530926 9218210 11061852 13827315 18436420 23045525 27654630 34107377 46091050 55309260 68214754 69136575 92182100 102322131 136429508 138273150 170536885 204644262 276546300 341073770 409288524 511610655 682147540 852684425 1023221310 1705368850 2046442620 2558053275 3410737700 5116106550 10232213100