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10220100102220 = 22519193467298399
BaseRepresentation
bin1001010010111000110101…
…1011111010100001001100
31100012000212100101221000011
42110232031123322201030
52314421231111232340
633423014342043004
72103243415344361
oct224561533724114
940160770357004
1010220100102220
113290358085548
121190882a19464
1359199c8004b8
14274926912468
1512acacd080ea
hex94b8d6fa84c

10220100102220 has 96 divisors (see below), whose sum is σ = 22757559552000. Its totient is φ = 3844550283264.

The previous prime is 10220100102181. The next prime is 10220100102221. The reversal of 10220100102220 is 2220100102201.

It is a happy number.

10220100102220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10220100102220.

It is not an unprimeable number, because it can be changed into a prime (10220100102221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34100581 + ... + 34398979.

It is an arithmetic number, because the mean of its divisors is an integer number (237057912000).

Almost surely, 210220100102220 is an apocalyptic number.

10220100102220 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 10220100102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11378779776000).

10220100102220 is an abundant number, since it is smaller than the sum of its proper divisors (12537459449780).

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

10220100102220 is a wasteful number, since it uses less digits than its factorization.

10220100102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299087 (or 299085 counting only the distinct ones).

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

Adding to 10220100102220 its reverse (2220100102201), we get a palindrome (12440200204421).

The spelling of 10220100102220 in words is "ten trillion, two hundred twenty billion, one hundred million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 193 380 386 467 772 934 965 1868 1930 2335 3667 3860 4670 7334 8873 9340 14668 17746 18335 35492 36670 44365 73340 88730 90131 177460 180262 298399 360524 450655 596798 901310 1193596 1491995 1712489 1802620 2983990 3424978 5669581 5967980 6849956 8562445 11339162 17124890 22678324 28347905 34249780 56695810 57591007 113391620 115182014 139352333 230364028 278704666 287955035 557409332 575910070 696761665 1094229133 1151820140 1393523330 2188458266 2647694327 2787046660 4376916532 5295388654 5471145665 10590777308 10942291330 13238471635 21884582660 26476943270 26895000269 52953886540 53790000538 107580001076 134475001345 268950002690 511005005111 537900005380 1022010010222 2044020020444 2555025025555 5110050051110 10220100102220