Search a number
-
+
1054102230520 = 235174917194391
BaseRepresentation
bin11110101011011010110…
…00111001010111111000
310201202211012022111110121
433111231120321113320
5114232300132334040
62124125313023024
7136104431060353
oct17255530712770
93652735274417
101054102230520
113770512574a9
12150360854a74
137852aba1ab1
14390398dd29a
151c646326c4a
hexf56d6395f8

1054102230520 has 128 divisors (see below), whose sum is σ = 2520431769600. Its totient is φ = 395389388800.

The previous prime is 1054102230481. The next prime is 1054102230539. The reversal of 1054102230520 is 250322014501.

It is a super-2 number, since 2×10541022305202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240057525 + ... + 240061915.

It is an arithmetic number, because the mean of its divisors is an integer number (19690873200).

Almost surely, 21054102230520 is an apocalyptic number.

1054102230520 is a gapful number since it is divisible by the number (10) 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 1054102230520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260215884800).

1054102230520 is an abundant number, since it is smaller than the sum of its proper divisors (1466329539080).

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

1054102230520 is a wasteful number, since it uses less digits than its factorization.

1054102230520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629 (or 5625 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 1054102230520 in words is "one trillion, fifty-four billion, one hundred two million, two hundred thirty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 491 680 719 982 1438 1964 2455 2876 3595 3928 4391 4910 5752 7190 8347 8782 9820 12223 14380 16694 17564 19640 21955 24446 28760 33388 35128 41735 43910 48892 61115 66776 74647 83470 87820 97784 122230 149294 166940 175640 244460 298588 333880 353029 373235 488920 597176 706058 746470 1412116 1492940 1765145 2155981 2824232 2985880 3157129 3530290 4311962 6001493 6314258 7060580 8623924 10779905 12002986 12628516 14121160 15785645 17247848 21559810 24005972 25257032 30007465 31571290 36651677 43119620 48011944 53671193 60014930 63142580 73303354 86239240 107342386 120029860 126285160 146606708 183258385 214684772 240059720 268355965 293213416 366516770 429369544 536711930 733033540 1073423860 1466067080 1550150339 2146847720 3100300678 6200601356 7750751695 12401202712 15501503390 26352555763 31003006780 52705111526 62006013560 105410223052 131762778815 210820446104 263525557630 527051115260 1054102230520