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1032313200150 = 235253179725423
BaseRepresentation
bin11110000010110101010…
…10010101111000010110
310122200120200102001220210
433001122222111320112
5113403134134401100
62110123234310250
7134403453264441
oct17013252257026
93580520361823
101032313200150
1136888a986491
1214809b728386
137646797810b
1437d6db98658
151bcbd4bcc50
hexf05aa95e16

1032313200150 has 96 divisors (see below), whose sum is σ = 2623017116160. Its totient is φ = 268580241280.

The previous prime is 1032313200143. The next prime is 1032313200151. The reversal of 1032313200150 is 510023132301.

1032313200150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032313200151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1060339 + ... + 1785761.

It is an arithmetic number, because the mean of its divisors is an integer number (27323094960).

Almost surely, 21032313200150 is an apocalyptic number.

1032313200150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032313200150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311508558080).

1032313200150 is an abundant number, since it is smaller than the sum of its proper divisors (1590703916010).

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

1032313200150 is a wasteful number, since it uses less digits than its factorization.

1032313200150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725670 (or 725665 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 1032313200150 its reverse (510023132301), we get a palindrome (1542336332451).

The spelling of 1032313200150 in words is "one trillion, thirty-two billion, three hundred thirteen million, two hundred thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 75 106 150 159 179 265 318 358 530 537 795 895 1074 1325 1590 1790 2650 2685 3975 4475 5370 7950 8950 9487 13425 18974 26850 28461 47435 56922 94870 142305 237175 284610 474350 711525 725423 1423050 1450846 2176269 3627115 4352538 7254230 10881345 18135575 21762690 36271150 38447419 54406725 76894838 108813450 115342257 129850717 192237095 230684514 259701434 384474190 389552151 576711285 649253585 779104302 961185475 1153422570 1298507170 1922370950 1947760755 2883556425 3246267925 3895521510 5767112850 6492535850 6882088001 9738803775 13764176002 19477607550 20646264003 34410440005 41292528006 68820880010 103231320015 172052200025 206462640030 344104400050 516156600075 1032313200150