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1312102434412 = 22711210115672447
BaseRepresentation
bin10011000101111111011…
…001100100011001101100
311122102202200012211011201
4103011333121210121230
5132444141210400122
62442434352455244
7163540056446620
oct23057731443154
94572680184151
101312102434412
11466506688300
1219236454a524
1396966545833
1447712a2d180
15241e667ba27
hex1317f66466c

1312102434412 has 144 divisors (see below), whose sum is σ = 2916065746944. Its totient is φ = 505617552000.

The previous prime is 1312102434403. The next prime is 1312102434439. The reversal of 1312102434412 is 2144342012131.

It is a happy number.

It is a super-2 number, since 2×13121024344122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536207373 + ... + 536209819.

It is an arithmetic number, because the mean of its divisors is an integer number (20250456576).

Almost surely, 21312102434412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312102434412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458032873472).

1312102434412 is an abundant number, since it is smaller than the sum of its proper divisors (1603963312532).

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

1312102434412 is a wasteful number, since it uses less digits than its factorization.

1312102434412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1312102434412 its reverse (2144342012131), we get a palindrome (3456444446543).

The spelling of 1312102434412 in words is "one trillion, three hundred twelve billion, one hundred two million, four hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 121 154 202 242 308 404 484 707 847 1111 1414 1567 1694 2222 2447 2828 3134 3388 4444 4894 6268 7777 9788 10969 12221 15554 17129 17237 21938 24442 26917 31108 34258 34474 43876 48884 53834 68516 68948 85547 107668 120659 158267 171094 188419 189607 241318 247147 296087 316534 342188 376838 379214 482636 494294 592174 633068 753676 758428 988588 1107869 1184348 1327249 1730029 1740937 2072609 2215738 2654498 2718617 3460058 3481874 3834449 4145218 4431476 5308996 5437234 6920116 6963748 7668898 8290436 10874468 12186559 15337796 19030319 19150307 24373118 26841143 29904787 38060638 38300614 42178939 48746236 53682286 59809574 76121276 76601228 84357878 107364572 119619148 134052149 168715756 209333509 268104298 295252573 387279349 418667018 463968329 536208596 590505146 774558698 837334036 927936658 1181010292 1549117396 1855873316 2710955443 3247778303 4260072839 5421910886 6495556606 8520145678 10843821772 12991113212 17040291356 29820509873 46860801229 59641019746 93721602458 119282039492 187443204916 328025608603 656051217206 1312102434412