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101010010222220 = 225113537091834513
BaseRepresentation
bin10110111101111000111001…
…110001110010111010001100
3111020122110111021201221010212
4112331320321301302322030
5101214422000104102340
6554455205203021552
730163506134316521
oct2675707161627214
9436573437657125
10101010010222220
112a2041174991a0
12b3b450006a8b8
13444928426a9a8
141ad2ca68bd148
15ba277ec62a65
hex5bde39c72e8c

101010010222220 has 96 divisors (see below), whose sum is σ = 232387721375040. Its totient is φ = 36575179407360.

The previous prime is 101010010222109. The next prime is 101010010222321. The reversal of 101010010222220 is 22222010010101.

It is a junction number, because it is equal to n+sod(n) for n = 101010010222195 and 101010010222204.

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, 54143684 + ... + 55978196.

It is an arithmetic number, because the mean of its divisors is an integer number (2420705430990).

Almost surely, 2101010010222220 is an apocalyptic number.

101010010222220 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 101010010222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116193860687520).

101010010222220 is an abundant number, since it is smaller than the sum of its proper divisors (131377711152820).

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

101010010222220 is a wasteful number, since it uses less digits than its factorization.

101010010222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835595 (or 1835593 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101010010222220 its reverse (22222010010101), we get a palindrome (123232020232321).

The spelling of 101010010222220 in words is "one hundred one trillion, ten billion, ten million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 353 706 709 1412 1418 1765 2836 3530 3545 3883 7060 7090 7766 7799 14180 15532 15598 19415 31196 38830 38995 77660 77990 155980 250277 500554 1001108 1251385 1834513 2502770 2753047 3669026 5005540 5506094 7338052 9172565 11012188 13765235 18345130 20179643 27530470 36690260 40359286 55060940 80718572 100898215 201796430 403592860 647583089 1295166178 1300669717 2590332356 2601339434 3237915445 5202678868 6475830890 6503348585 7123413979 12951661780 13006697170 14246827958 14307366887 26013394340 28493655916 28614733774 35617069895 57229467548 71234139790 71536834435 142468279580 143073668870 286147337740 459136410101 918272820202 1836545640404 2295682050505 4591364101010 5050500511111 9182728202020 10101001022222 20202002044444 25252502555555 50505005111110 101010010222220