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10012211102220 = 22353729031553567
BaseRepresentation
bin1001000110110010011001…
…0010010100001000001100
31022110011021012120111222120
42101230212102110020030
52303020002020232340
633143313555212540
72052233632115355
oct221544622241014
938404235514876
1010012211102220
113210178170938
1211585252a7150
135781bbc637b2
14268844bbcd2c
15125691eb24d0
hex91b2649420c

10012211102220 has 96 divisors (see below), whose sum is σ = 28801808437248. Its totient is φ = 2596866354432.

The previous prime is 10012211102147. The next prime is 10012211102303. The reversal of 10012211102220 is 2220111221001.

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 10012211102220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5667877 + ... + 7221443.

It is an arithmetic number, because the mean of its divisors is an integer number (300018837888).

Almost surely, 210012211102220 is an apocalyptic number.

10012211102220 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 10012211102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400904218624).

10012211102220 is an abundant number, since it is smaller than the sum of its proper divisors (18789597335028).

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

10012211102220 is a wasteful number, since it uses less digits than its factorization.

10012211102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556519 (or 1556517 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10012211102220 its reverse (2220111221001), we get a palindrome (12232322323221).

The spelling of 10012211102220 in words is "ten trillion, twelve billion, two hundred eleven million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 2903 5806 8709 11612 14515 17418 29030 34836 43545 58060 87090 107411 174180 214822 322233 429644 537055 644466 1074110 1288932 1553567 1611165 2148220 3107134 3222330 4660701 6214268 6444660 7767835 9321402 15535670 18642804 23303505 31071340 46607010 57481979 93214020 114963958 172445937 229927916 287409895 344891874 574819790 689783748 862229685 1149639580 1724459370 3448918740 4510005001 9020010002 13530015003 18040020004 22550025005 27060030006 45100050010 54120060012 67650075015 90200100020 135300150030 166870185037 270600300060 333740370074 500610555111 667480740148 834350925185 1001221110222 1668701850370 2002442220444 2503052775555 3337403700740 5006105551110 10012211102220