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1022200202112 = 2733113985487
BaseRepresentation
bin11101101111111111110…
…00010100001110000000
310121201110220000112121220
432313333320110032000
5113221431222431422
62101331533515040
7133565034233235
oct16677770241600
93551426015556
101022200202112
11364570402371
12146138942a80
1375515745acb
1437690a1d78c
151b8ca73de5c
hexedffe14380

1022200202112 has 64 divisors (see below), whose sum is σ = 2715338246400. Its totient is φ = 340718472704.

The previous prime is 1022200202057. The next prime is 1022200202117. The reversal of 1022200202112 is 2112020022201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1022200202091 and 1022200202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022200202117) 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, 11914633 + ... + 12000119.

It is an arithmetic number, because the mean of its divisors is an integer number (42427160100).

Almost surely, 21022200202112 is an apocalyptic number.

1022200202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022200202112 is an abundant number, since it is smaller than the sum of its proper divisors (1693138044288).

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

1022200202112 is an equidigital number, since it uses as much as digits as its factorization.

1022200202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116643 (or 116631 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1022200202112 its reverse (2112020022201), we get a palindrome (3134220224313).

The spelling of 1022200202112 in words is "one trillion, twenty-two billion, two hundred million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 31139 62278 85487 93417 124556 170974 186834 249112 256461 341948 373668 498224 512922 683896 747336 996448 1025844 1367792 1494672 1992896 2051688 2735584 2989344 3985792 4103376 5471168 5978688 8206752 10942336 11957376 16413504 32827008 2661979693 5323959386 7985939079 10647918772 15971878158 21295837544 31943756316 42591675088 63887512632 85183350176 127775025264 170366700352 255550050528 340733400704 511100101056 1022200202112