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1002122022220 = 22511101224320107
BaseRepresentation
bin11101001010100110010…
…00001000110101001100
310112210122121101022201121
432211103020020311030
5112404321214202340
62044211332450324
7132254342433514
oct16452310106514
93483577338647
101002122022220
11356aa7835670
121422747799a4
1373665ac73a7
14367081c6844
151b102bcd94a
hexe953208d4c

1002122022220 has 96 divisors (see below), whose sum is σ = 2319649871616. Its totient is φ = 360621216000.

The previous prime is 1002122022211. The next prime is 1002122022241. The reversal of 1002122022220 is 222202212001.

It is a junction number, because it is equal to n+sod(n) for n = 1002122022194 and 1002122022203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49829407 + ... + 49849513.

It is an arithmetic number, because the mean of its divisors is an integer number (24163019496).

Almost surely, 21002122022220 is an apocalyptic number.

1002122022220 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 1002122022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159824935808).

1002122022220 is an abundant number, since it is smaller than the sum of its proper divisors (1317527849396).

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

1002122022220 is a wasteful number, since it uses less digits than its factorization.

1002122022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22471 (or 22469 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1002122022220 its reverse (222202212001), we get a palindrome (1224324234221).

The spelling of 1002122022220 in words is "one trillion, two billion, one hundred twenty-two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 2243 4444 4486 5555 8972 11110 11215 20107 22220 22430 24673 40214 44860 49346 80428 98692 100535 123365 201070 221177 226543 246730 402140 442354 453086 493460 884708 906172 1105885 1132715 2030807 2211770 2265430 2491973 4061614 4423540 4530860 4983946 8123228 9967892 10154035 12459865 20308070 22338877 24919730 40616140 44677754 45100001 49839460 89355508 90200002 111694385 180400004 223388770 225500005 446777540 451000010 496100011 902000020 992200022 1984400044 2480500055 4555100101 4961000110 9110200202 9922000220 18220400404 22775500505 45551001010 50106101111 91102002020 100212202222 200424404444 250530505555 501061011110 1002122022220