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10223201100 = 22352723920369
BaseRepresentation
bin10011000010101100…
…11010101101001100
3222101110202102110210
421201112122231030
5131414114413400
64410234402420
7511224530010
oct114126325514
928343672423
1010223201100
114376804332
121b93890410
13c6c008c28
146cda64540
153ec79b950
hex26159ab4c

10223201100 has 144 divisors (see below), whose sum is σ = 33947827200. Its totient is φ = 2326840320.

The previous prime is 10223201071. The next prime is 10223201119. The reversal of 10223201100 is 110232201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491716 + ... + 512084.

It is an arithmetic number, because the mean of its divisors is an integer number (235748800).

Almost surely, 210223201100 is an apocalyptic number.

10223201100 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 10223201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16973913600).

10223201100 is an abundant number, since it is smaller than the sum of its proper divisors (23724626100).

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

10223201100 is a wasteful number, since it uses less digits than its factorization.

10223201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20632 (or 20625 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10223201100 its reverse (110232201), we get a palindrome (10333433301).

The spelling of 10223201100 in words is "ten billion, two hundred twenty-three million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 239 300 350 420 478 525 700 717 956 1050 1195 1434 1673 2100 2390 2868 3346 3585 4780 5019 5975 6692 7170 8365 10038 11950 14340 16730 17925 20076 20369 23900 25095 33460 35850 40738 41825 50190 61107 71700 81476 83650 100380 101845 122214 125475 142583 167300 203690 244428 250950 285166 305535 407380 427749 501900 509225 570332 611070 712915 855498 1018450 1222140 1425830 1527675 1710996 2036900 2138745 2851660 3055350 3564575 4277490 4868191 6110700 7129150 8554980 9736382 10693725 14258300 14604573 19472764 21387450 24340955 29209146 34077337 42774900 48681910 58418292 68154674 73022865 97363820 102232011 121704775 136309348 146045730 170386685 204464022 243409550 292091460 340773370 365114325 408928044 486819100 511160055 681546740 730228650 851933425 1022320110 1460457300 1703866850 2044640220 2555800275 3407733700 5111600550 10223201100