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1002144322212 = 223111012751991
BaseRepresentation
bin11101001010101000111…
…01001101001010100100
310112210201011100021120020
432211110131031022210
5112404342421302322
62044213450435140
7132255033122205
oct16452435151244
93483634307506
101002144322212
11357009386a10
12142280132ab0
137366a604657
143670b14d5ac
151b104b3605c
hexe95474d2a4

1002144322212 has 144 divisors (see below), whose sum is σ = 2582453379072. Its totient is φ = 299970000000.

The previous prime is 1002144322211. The next prime is 1002144322217. The reversal of 1002144322212 is 2122234412001.

It is not an unprimeable number, because it can be changed into a prime (1002144322211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1011245037 + ... + 1011246027.

Almost surely, 21002144322212 is an apocalyptic number.

1002144322212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002144322212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291226689536).

1002144322212 is an abundant number, since it is smaller than the sum of its proper divisors (1580309056860).

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

1002144322212 is a wasteful number, since it uses less digits than its factorization.

1002144322212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1002144322212 its reverse (2122234412001), we get a palindrome (3124378734213).

The spelling of 1002144322212 in words is "one trillion, two billion, one hundred forty-four million, three hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 751 991 1111 1212 1502 1982 2222 2253 2973 3004 3333 3964 4444 4506 5946 6666 8261 9012 10201 10901 11892 13332 16522 20402 21802 24783 30603 32703 33044 40804 43604 49566 61206 65406 75851 99132 100091 112211 122412 130812 151702 200182 224422 227553 300273 303404 336633 400364 448844 455106 600546 673266 744241 834361 910212 1101001 1201092 1346532 1488482 1668722 2202002 2232723 2503083 2976964 3303003 3337444 4404004 4465446 5006166 6606006 7660951 8186651 8930892 10012332 10109191 13212012 15321902 16373302 20218382 22982853 24559953 30327573 30643804 32746604 40436764 45965706 49119906 60655146 75168341 84270461 91931412 98239812 111201101 121310292 150336682 168540922 222402202 225505023 252811383 300673364 333603303 337081844 444804404 451010046 505622766 667206606 826851751 902020092 1011245532 1334413212 1653703502 2480555253 3307407004 4961110506 7592002441 9922221012 15184004882 22776007323 30368009764 45552014646 83512026851 91104029292 167024053702 250536080553 334048107404 501072161106 1002144322212