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1002002122220 = 2251126931691257
BaseRepresentation
bin11101001010010111111…
…10110000010111101100
310112210100020202202211212
432211023332300113230
5112404100020402340
62044151410533552
7132251355340031
oct16451376602754
93483306682755
101002002122220
11356a46091a60
121422405972b8
1373647006b48
14366d62d5388
151b0e73e7a65
hexe94bfb05ec

1002002122220 has 48 divisors (see below), whose sum is σ = 2296349522208. Its totient is φ = 364228892160.

The previous prime is 1002002122171. The next prime is 1002002122241. The reversal of 1002002122220 is 222212002001.

It is a junction number, because it is equal to n+sod(n) for n = 1002002122195 and 1002002122204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253169 + ... + 1438088.

It is an arithmetic number, because the mean of its divisors is an integer number (47840615046).

Almost surely, 21002002122220 is an apocalyptic number.

1002002122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002002122220 is an abundant number, since it is smaller than the sum of its proper divisors (1294347399988).

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

1002002122220 is a wasteful number, since it uses less digits than its factorization.

1002002122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693970 (or 1693968 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1002002122220 its reverse (222212002001), we get a palindrome (1224214124221).

The spelling of 1002002122220 in words is "one trillion, two billion, two million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2693 5386 10772 13465 26930 29623 53860 59246 118492 148115 296230 592460 1691257 3382514 6765028 8456285 16912570 18603827 33825140 37207654 74415308 93019135 186038270 372076540 4554555101 9109110202 18218220404 22772775505 45545551010 50100106111 91091102020 100200212222 200400424444 250500530555 501001061110 1002002122220