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1021033444432 = 242943397128903
BaseRepresentation
bin11101101101110100101…
…01011111010001010000
310121121110120120002222111
432312322111133101100
5113212034030210212
62101020054115104
7133524106036321
oct16667225372120
93547416502874
101021033444432
11364021841021
12145a7204ba94
137538aac0351
14375bdaa4448
151b85d0bcea7
hexedba55f450

1021033444432 has 80 divisors (see below), whose sum is σ = 2099351168640. Its totient is φ = 480233166336.

The previous prime is 1021033444429. The next prime is 1021033444439. The reversal of 1021033444432 is 2344443301201.

It is a junction number, because it is equal to n+sod(n) for n = 1021033444394 and 1021033444403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021033444439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7856493 + ... + 7985395.

It is an arithmetic number, because the mean of its divisors is an integer number (26241889608).

Almost surely, 21021033444432 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 1021033444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049675584320).

1021033444432 is an abundant number, since it is smaller than the sum of its proper divisors (1078317724208).

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

1021033444432 is a wasteful number, since it uses less digits than its factorization.

1021033444432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129380 (or 129374 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 1021033444432 its reverse (2344443301201), we get a palindrome (3365476745633).

The spelling of 1021033444432 in words is "one trillion, twenty-one billion, thirty-three million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 43 58 86 116 172 232 344 397 464 688 794 1247 1588 2494 3176 4988 6352 9976 11513 17071 19952 23026 34142 46052 68284 92104 128903 136568 184208 257806 273136 495059 515612 990118 1031224 1980236 2062448 3738187 3960472 5542829 7476374 7920944 11085658 14952748 22171316 29905496 44342632 51174491 59810992 88685264 102348982 160742041 204697964 321484082 409395928 642968164 818791856 1285936328 1484060239 2200503113 2571872656 2968120478 4401006226 5936240956 8802012452 11872481912 17604024904 23744963824 35208049808 63814590277 127629180554 255258361108 510516722216 1021033444432