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10222221100 = 22527136431747
BaseRepresentation
bin10011000010100101…
…01011011100101100
3222101101220122011111
421201102223130230
5131413342033400
64410201401404
7511213305610
oct114122533454
928341818144
1010222221100
1143761a5013
121b93499264
13c6ba54b50
146cd88b340
153ec6563ba
hex2614ab72c

10222221100 has 144 divisors (see below), whose sum is σ = 27359304448. Its totient is φ = 3228284160.

The previous prime is 10222221067. The next prime is 10222221109. The reversal of 10222221100 is 112222201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10222221109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5850427 + ... + 5852173.

Almost surely, 210222221100 is an apocalyptic number.

10222221100 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 10222221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13679652224).

10222221100 is an abundant number, since it is smaller than the sum of its proper divisors (17137083348).

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

10222221100 is a wasteful number, since it uses less digits than its factorization.

10222221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10222221100 its reverse (112222201), we get a palindrome (10334443301).

The spelling of 10222221100 in words is "ten billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 643 650 700 910 1286 1300 1747 1820 2275 2572 3215 3494 4501 4550 6430 6988 8359 8735 9002 9100 12229 12860 16075 16718 17470 18004 22505 22711 24458 32150 33436 34940 41795 43675 45010 45422 48916 58513 61145 64300 83590 87350 90020 90844 112525 113555 117026 122290 158977 167180 174700 208975 225050 227110 234052 244580 292565 305725 317954 417950 450100 454220 567775 585130 611450 635908 794885 835900 1123321 1135550 1170260 1222900 1462825 1589770 2246642 2271100 2925650 3179540 3974425 4493284 5616605 5851300 7863247 7948850 11233210 14603173 15726494 15897700 22466420 28083025 29206346 31452988 39316235 56166050 58412692 73015865 78632470 102222211 112332100 146031730 157264940 196581175 204444422 292063460 365079325 393162350 408888844 511111055 730158650 786324700 1022222110 1460317300 2044444220 2555555275 5111110550 10222221100