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1002000122220 = 2235171129870109
BaseRepresentation
bin11101001010010111101…
…11001000000101101100
310112210100010000011100210
432211023313020011230
5112404044012402340
62044151300022420
7132251332340106
oct16451367100554
93483303004323
101002000122220
11356a44a46369
1214223b991a10
1373646786706
14366d5d34576
151b0e7150180
hexe94bdc816c

1002000122220 has 96 divisors (see below), whose sum is σ = 2973270283200. Its totient is φ = 251259346944.

The previous prime is 1002000122191. The next prime is 1002000122231. The reversal of 1002000122220 is 222210002001.

1002000122220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 1002000122196 and 1002000122205.

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, 716526 + ... + 1586634.

It is an arithmetic number, because the mean of its divisors is an integer number (30971565450).

Almost surely, 21002000122220 is an apocalyptic number.

1002000122220 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 1002000122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486635141600).

1002000122220 is an abundant number, since it is smaller than the sum of its proper divisors (1971270160980).

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

1002000122220 is a wasteful number, since it uses less digits than its factorization.

1002000122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871267 (or 871265 counting only the distinct ones).

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

Adding to 1002000122220 its reverse (222210002001), we get a palindrome (1224210124221).

The spelling of 1002000122220 in words is "one trillion, two billion, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1129 2258 3387 4516 5645 6774 11290 13548 16935 19193 22580 33870 38386 57579 67740 76772 95965 115158 191930 230316 287895 383860 575790 870109 1151580 1740218 2610327 3480436 4350545 5220654 8701090 10441308 13051635 14791853 17402180 26103270 29583706 44375559 52206540 59167412 73959265 88751118 147918530 177502236 221877795 295837060 443755590 887511180 982353061 1964706122 2947059183 3929412244 4911765305 5894118366 9823530610 11788236732 14735295915 16700002037 19647061220 29470591830 33400004074 50100006111 58941183660 66800008148 83500010185 100200012222 167000020370 200400024444 250500030555 334000040740 501000061110 1002000122220