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1022102021112 = 233325713075709
BaseRepresentation
bin11101101111110100000…
…01110010001111111000
310121201020001021102121120
432313322001302033320
5113221231104133422
62101314105305240
7133562432555244
oct16677201621770
93551201242546
101022102021112
1136451aa43547
1214610ba95220
13754cb2bb243
1437681983424
151b8c1ce845c
hexedfa0723f8

1022102021112 has 32 divisors (see below), whose sum is σ = 2556039790800. Its totient is φ = 340596041984.

The previous prime is 1022102021099. The next prime is 1022102021119. The reversal of 1022102021112 is 2111202012201.

It is a super-2 number, since 2×10221020211122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022102021091 and 1022102021100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022102021119) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6459687 + ... + 6616022.

Almost surely, 21022102021112 is an apocalyptic number.

1022102021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022102021112 is an abundant number, since it is smaller than the sum of its proper divisors (1533937769688).

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

1022102021112 is a wasteful number, since it uses less digits than its factorization.

1022102021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13078975 (or 13078971 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1022102021112 its reverse (2111202012201), we get a palindrome (3133304033313).

The spelling of 1022102021112 in words is "one trillion, twenty-two billion, one hundred two million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 3257 6514 9771 13028 19542 26056 39084 78168 13075709 26151418 39227127 52302836 78454254 104605672 156908508 313817016 42587584213 85175168426 127762752639 170350336852 255525505278 340700673704 511051010556 1022102021112