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101222102220 = 223573199116131
BaseRepresentation
bin101111001000101001…
…1101011010011001100
3100200021100020120022220
41132101103223103030
53124300324232340
6114300100535340
710212243446511
oct1362123532314
9320240216286
10101222102220
1139a23268638
121774b0b1550
139711a72155
144c834a5308
15297668ded0
hex17914eb4cc

101222102220 has 96 divisors (see below), whose sum is σ = 288750604800. Its totient is φ = 26488788480.

The previous prime is 101222102183. The next prime is 101222102227. The reversal of 101222102220 is 22201222101.

It is a super-2 number, since 2×1012221022202 (a number of 23 digits) contains 22 as substring.

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 101222102220.

It is not an unprimeable number, because it can be changed into a prime (101222102227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813555 + ... + 929685.

It is an arithmetic number, because the mean of its divisors is an integer number (3007818800).

Almost surely, 2101222102220 is an apocalyptic number.

101222102220 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 101222102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144375302400).

101222102220 is an abundant number, since it is smaller than the sum of its proper divisors (187528502580).

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

101222102220 is a wasteful number, since it uses less digits than its factorization.

101222102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116415 (or 116413 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101222102220 its reverse (22201222101), we get a palindrome (123423324321).

The spelling of 101222102220 in words is "one hundred one billion, two hundred twenty-two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 199 219 292 365 398 438 597 730 796 876 995 1095 1194 1460 1990 2190 2388 2985 3980 4380 5970 11940 14527 29054 43581 58108 72635 87162 116131 145270 174324 217905 232262 290540 348393 435810 464524 580655 696786 871620 1161310 1393572 1741965 2322620 3483930 6967860 8477563 16955126 23110069 25432689 33910252 42387815 46220138 50865378 69330207 84775630 92440276 101730756 115550345 127163445 138660414 169551260 231100690 254326890 277320828 346651035 462201380 508653780 693302070 1386604140 1687035037 3374070074 5061105111 6748140148 8435175185 10122210222 16870350370 20244420444 25305525555 33740700740 50611051110 101222102220