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1002221201112 = 233449547716981
BaseRepresentation
bin11101001010110010000…
…10011110011011011000
310112210220112000010120220
432211121002132123120
5112410022111413422
62044225234320040
7132256655436015
oct16453102363330
93483815003526
101002221201112
1135704881619a
121422a1a29020
1373680511221
143671744270c
151b10b76ee5c
hexe95909e6d8

1002221201112 has 64 divisors (see below), whose sum is σ = 2511739692000. Its totient is φ = 333249208320.

The previous prime is 1002221201101. The next prime is 1002221201129. The reversal of 1002221201112 is 2111021222001.

1002221201112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1002221201091 and 1002221201100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59011662 + ... + 59028642.

Almost surely, 21002221201112 is an apocalyptic number.

1002221201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002221201112 is an abundant number, since it is smaller than the sum of its proper divisors (1509518490888).

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

1002221201112 is a wasteful number, since it uses less digits than its factorization.

1002221201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22916 (or 22912 counting only the distinct ones).

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

Adding to 1002221201112 its reverse (2111021222001), we get a palindrome (3113242423113).

The spelling of 1002221201112 in words is "one trillion, two billion, two hundred twenty-one million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 449 898 1347 1796 2694 3592 5388 5477 10776 10954 16431 16981 21908 32862 33962 43816 50943 65724 67924 101886 131448 135848 203772 407544 2459173 4918346 7377519 7624469 9836692 14755038 15248938 19673384 22873407 29510076 30497876 45746814 59020152 60995752 91493628 93004937 182987256 186009874 279014811 372019748 558029622 744039496 1116059244 2232118488 41759216713 83518433426 125277650139 167036866852 250555300278 334073733704 501110600556 1002221201112