Search a number
-
+
1401003222012 = 22321714915363899
BaseRepresentation
bin10100011000110010010…
…011001010001111111100
311221221020022201202100200
4110120302103022033330
5140423223311101022
62551340105123500
7203135110620402
oct24306223121774
94857208652320
101401003222012
114a0186881899
121a7635189590
13a2163701774
144bb47955472
152669b27abac
hex146324ca3fc

1401003222012 has 72 divisors (see below), whose sum is σ = 3774910230000. Its totient is φ = 436580525568.

The previous prime is 1401003222001. The next prime is 1401003222019. The reversal of 1401003222012 is 2102223001041.

It is a happy number.

1401003222012 is a `hidden beast` number, since 1 + 40 + 100 + 322 + 201 + 2 = 666.

It is a super-3 number, since 3×14010032220123 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401003222019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7590762 + ... + 7773137.

It is an arithmetic number, because the mean of its divisors is an integer number (52429308750).

Almost surely, 21401003222012 is an apocalyptic number.

1401003222012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1401003222012 is an abundant number, since it is smaller than the sum of its proper divisors (2373907007988).

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

1401003222012 is a wasteful number, since it uses less digits than its factorization.

1401003222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15364075 (or 15364070 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1401003222012 its reverse (2102223001041), we get a palindrome (3503226223053).

The spelling of 1401003222012 in words is "one trillion, four hundred one billion, three million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 149 153 204 298 306 447 596 612 894 1341 1788 2533 2682 5066 5364 7599 10132 15198 22797 30396 45594 91188 15363899 30727798 46091697 61455596 92183394 138275091 184366788 261186283 276550182 522372566 553100364 783558849 1044745132 1567117698 2289220951 2350676547 3134235396 4578441902 4701353094 6867662853 9156883804 9402706188 13735325706 20602988559 27470651412 38916756167 41205977118 77833512334 82411954236 116750268501 155667024668 233500537002 350250805503 467001074004 700501611006 1401003222012