Search a number
-
+
1224101051052 = 2231121961372383
BaseRepresentation
bin10001110100000010000…
…110111011101010101100
311100000121201002100122220
4101310002012323222230
5130023424332113202
62334202205435340
7154303236154005
oct21640206735254
94300551070586
101224101051052
11432158149500
121792a4b6bb50
138b580805069
144336534a1ac
1521c959dcabc
hex11d021bbaac

1224101051052 has 144 divisors (see below), whose sum is σ = 3310172436480. Its totient is φ = 350838449280.

The previous prime is 1224101051051. The next prime is 1224101051053. The reversal of 1224101051052 is 2501501014221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1224101051051) and next prime (1224101051053).

It is a super-2 number, since 2×12241010510522 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1224101051051) 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, 16875253 + ... + 16947635.

Almost surely, 21224101051052 is an apocalyptic number.

1224101051052 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 1224101051052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655086218240).

1224101051052 is an abundant number, since it is smaller than the sum of its proper divisors (2086071385428).

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

1224101051052 is a wasteful number, since it uses less digits than its factorization.

1224101051052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73044 (or 73031 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 1224101051052 its reverse (2501501014221), we get a palindrome (3725602065273).

The spelling of 1224101051052 in words is "one trillion, two hundred twenty-four billion, one hundred one million, fifty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 121 132 209 228 242 363 418 484 613 627 726 836 1226 1254 1452 1839 2299 2452 2508 3678 4598 6743 6897 7356 9196 11647 13486 13794 20229 23294 26972 27588 34941 40458 46588 69882 72383 74173 80916 128117 139764 144766 148346 217149 222519 256234 289532 296692 384351 434298 445038 512468 768702 796213 868596 890076 1375277 1409287 1537404 1592426 2388639 2750554 2818574 3184852 4125831 4227861 4777278 5501108 5637148 8251662 8455722 8758343 9554556 15128047 16503324 16911444 17516686 26275029 30256094 35033372 44370779 45384141 52550058 60512188 88741558 90768282 105100116 133112337 166408517 177483116 181536564 266224674 332817034 488078569 499225551 532449348 665634068 843044801 976157138 998451102 1464235707 1686089602 1952314276 1996902204 2529134403 2928471414 3372179204 5058268806 5368864259 5856942828 9273492811 10116537612 10737728518 16106592777 18546985622 21475457036 27820478433 32213185554 37093971244 55640956866 64426371108 102008420921 111281913732 204016841842 306025262763 408033683684 612050525526 1224101051052