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1022122102068 = 2232241117810293
BaseRepresentation
bin11101101111110110011…
…10011000110100110100
310121201021110001122111200
432313323032120310310
5113221301224231233
62101320103532500
7133563065342304
oct16677316306464
93551243048450
101022122102068
11364530309681
1214611675a130
13755024cc472
14376844cd604
151b8c3963313
hexedfb398d34

1022122102068 has 36 divisors (see below), whose sum is σ = 2594418294468. Its totient is φ = 339293640960.

The previous prime is 1022122102009. The next prime is 1022122102069. The reversal of 1022122102068 is 8602012212201.

1022122102068 is a `hidden beast` number, since 10 + 221 + 221 + 0 + 206 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 491398196004 + 530723906064 = 700998^2 + 728508^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022122102069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58896471 + ... + 58913822.

Almost surely, 21022122102068 is an apocalyptic number.

1022122102068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1022122102068 is an abundant number, since it is smaller than the sum of its proper divisors (1572296192400).

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

1022122102068 is a wasteful number, since it uses less digits than its factorization.

1022122102068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117810544 (or 117810539 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 1022122102068 its reverse (8602012212201), we get a palindrome (9624134314269).

The spelling of 1022122102068 in words is "one trillion, twenty-two billion, one hundred twenty-two million, one hundred two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 241 482 723 964 1446 2169 2892 4338 8676 117810293 235620586 353430879 471241172 706861758 1060292637 1413723516 2120585274 4241170548 28392280613 56784561226 85176841839 113569122452 170353683678 255530525517 340707367356 511061051034 1022122102068