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1023032411324 = 22721110331114813
BaseRepresentation
bin11101110001100010111…
…10111100010010111100
310121210121212222011001022
432320301132330102330
5113230132244130244
62101550303003312
7133624461006200
oct16706136742274
93553555864038
101023032411324
11364958142480
1214632b599538
1375618c953b1
143772d370b00
151b9288296ee
hexee317bc4bc

1023032411324 has 144 divisors (see below), whose sum is σ = 2301518209536. Its totient is φ = 393418569600.

The previous prime is 1023032411279. The next prime is 1023032411383. The reversal of 1023032411324 is 4231142303201.

It is a junction number, because it is equal to n+sod(n) for n = 1023032411293 and 1023032411302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69055742 + ... + 69070554.

It is an arithmetic number, because the mean of its divisors is an integer number (15982765344).

Almost surely, 21023032411324 is an apocalyptic number.

1023032411324 is a gapful number since it is divisible by the number (14) 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 1023032411324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150759104768).

1023032411324 is an abundant number, since it is smaller than the sum of its proper divisors (1278485798212).

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

1023032411324 is a wasteful number, since it uses less digits than its factorization.

1023032411324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15256 (or 15247 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1023032411324 its reverse (4231142303201), we get a palindrome (5254174714525).

The spelling of 1023032411324 in words is "one trillion, twenty-three billion, thirty-two million, four hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 103 154 196 206 308 311 412 539 622 721 1078 1133 1244 1442 2156 2177 2266 2884 3421 4354 4532 5047 6842 7931 8708 10094 13684 14813 15239 15862 20188 23947 29626 30478 31724 32033 47894 55517 59252 60956 64066 95788 103691 111034 128132 162943 167629 207382 222068 224231 325886 335258 352363 414764 448462 651772 670516 704726 725837 896924 1140601 1409452 1451674 1525739 1569617 2281202 2466541 2903348 3051478 3139234 4562404 4606843 4933082 6102956 6278468 7984207 9213686 9866164 10680173 15968414 16783129 17265787 18427372 21360346 31936828 32247901 33566258 34531574 42720692 50675273 64495802 67132516 69063148 74761211 101350546 117481903 128991604 149522422 202701092 225735307 234963806 299044844 354726911 451470614 469927612 474504829 709453822 822373321 902941228 949009658 1418907644 1644746642 1898019316 2483088377 3289493284 3321533803 4966176754 5219553119 6643067606 9932353508 10439106238 13286135212 20878212476 23250736621 36536871833 46501473242 73073743666 93002946484 146147487332 255758102831 511516205662 1023032411324