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1022202022120 = 23567829376757
BaseRepresentation
bin11101101111111111111…
…11010000100011101000
310121201111000110000012121
432313333333100203220
5113221432204201440
62101332040521024
7133565055553336
oct16677777204350
93551430400177
101022202022120
11364571435804
12146139480174
1375515c32336
1437690d74b56
151b8ca99d34a
hexedfffd08e8

1022202022120 has 32 divisors (see below), whose sum is σ = 2299994562600. Its totient is φ = 408873695488.

The previous prime is 1022202022111. The next prime is 1022202022129. The reversal of 1022202022120 is 212202022201.

It is an interprime number because it is at equal distance from previous prime (1022202022111) and next prime (1022202022129).

It can be written as a sum of positive squares in 4 ways, for example, as 988556924644 + 33645097476 = 994262^2 + 183426^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1022202022094 and 1022202022103.

It is not an unprimeable number, because it can be changed into a prime (1022202022129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2524782 + ... + 2901538.

Almost surely, 21022202022120 is an apocalyptic number.

1022202022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022202022120 is an abundant number, since it is smaller than the sum of its proper divisors (1277792540480).

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

1022202022120 is a wasteful number, since it uses less digits than its factorization.

1022202022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444597 (or 444593 counting only the distinct ones).

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

Adding to 1022202022120 its reverse (212202022201), we get a palindrome (1234404044321).

The spelling of 1022202022120 in words is "one trillion, twenty-two billion, two hundred two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67829 135658 271316 339145 376757 542632 678290 753514 1356580 1507028 1883785 2713160 3014056 3767570 7535140 15070280 25555050553 51110101106 102220202212 127775252765 204440404424 255550505530 511101011060 1022202022120