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101222000220 = 223511197778511
BaseRepresentation
bin101111001000101001…
…1010010011001011100
3100200021100001101102010
41132101103102121130
53124300313001340
6114300054431220
710212242543235
oct1362123223134
9320240041363
10101222000220
1139a231a8a40
121774b062510
139711a378b3
144c8347a08c
15297666db80
hex17914d265c

101222000220 has 96 divisors (see below), whose sum is σ = 310757078016. Its totient is φ = 24414073600.

The previous prime is 101222000207. The next prime is 101222000227. The reversal of 101222000220 is 22000222101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101222000196 and 101222000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222000227) 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, 259236 + ... + 519275.

It is an arithmetic number, because the mean of its divisors is an integer number (3237052896).

Almost surely, 2101222000220 is an apocalyptic number.

101222000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222000220 is an abundant number, since it is smaller than the sum of its proper divisors (209535077796).

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

101222000220 is a wasteful number, since it uses less digits than its factorization.

101222000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778731 (or 778729 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 101222000220 its reverse (22000222101), we get a palindrome (123222222321).

The spelling of 101222000220 in words is "one hundred one billion, two hundred twenty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 197 220 330 394 591 660 788 985 1182 1970 2167 2364 2955 3940 4334 5910 6501 8668 10835 11820 13002 21670 26004 32505 43340 65010 130020 778511 1557022 2335533 3114044 3892555 4671066 7785110 8563621 9342132 11677665 15570220 17127242 23355330 25690863 34254484 42818105 46710660 51381726 85636210 102763452 128454315 153366667 171272420 256908630 306733334 460100001 513817260 613466668 766833335 920200002 1533666670 1687033337 1840400004 2300500005 3067333340 3374066674 4601000010 5061100011 6748133348 8435166685 9202000020 10122200022 16870333370 20244400044 25305500055 33740666740 50611000110 101222000220