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202112100220 = 225411272418053
BaseRepresentation
bin1011110000111011010…
…0011110011101111100
3201022200112120111022111
42330032310132131330
511302411144201340
6232503215423404
720413345335412
oct2741664363574
9638615514274
10202112100220
1178796014378
1233206b24b64
131609ca85814
149ad47db2b2
1553cdacbaea
hex2f0ed1e77c

202112100220 has 96 divisors (see below), whose sum is σ = 440083961856. Its totient is φ = 77917593600.

The previous prime is 202112100163. The next prime is 202112100227. The reversal of 202112100220 is 22001211202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 202112100220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112100227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25093714 + ... + 25101766.

It is an arithmetic number, because the mean of its divisors is an integer number (4584207936).

Almost surely, 2202112100220 is an apocalyptic number.

202112100220 is a gapful number since it is divisible by the number (20) 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 202112100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220041980928).

202112100220 is an abundant number, since it is smaller than the sum of its proper divisors (237971861636).

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

202112100220 is a wasteful number, since it uses less digits than its factorization.

202112100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8471 (or 8469 counting only the distinct ones).

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

Adding to 202112100220 its reverse (22001211202), we get a palindrome (224113311422).

The spelling of 202112100220 in words is "two hundred two billion, one hundred twelve million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 127 164 205 241 254 410 482 508 635 820 964 1205 1270 2410 2540 4820 5207 8053 9881 10414 16106 19762 20828 26035 30607 32212 39524 40265 49405 52070 61214 80530 98810 104140 122428 153035 161060 197620 306070 330173 612140 660346 1022731 1254887 1320692 1650865 1940773 2045462 2509774 3301730 3881546 4090924 5019548 5113655 6274435 6603460 7763092 9703865 10227310 12548870 19407730 20454620 25097740 38815460 41931971 79571693 83863942 159143386 167727884 209659855 246478171 318286772 397858465 419319710 492956342 795716930 838639420 985912684 1232390855 1591433860 2464781710 4929563420 10105605011 20211210022 40422420044 50528025055 101056050110 202112100220