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10231133201120 = 2551318472663137
BaseRepresentation
bin1001010011100001111100…
…0011110110001011100000
31100020002100021010102101202
42110320133003312023200
52320111330044413440
633432041231420332
72104114006213436
oct224703703661340
940202307112352
1010231133201120
113294aa9a6aaa7
121192a419846a8
13592a3a5464a0
14275291d5ad56
1512b206734615
hex94e1f0f62e0

10231133201120 has 96 divisors (see below), whose sum is σ = 26044466995008. Its totient is φ = 3775602475008.

The previous prime is 10231133201111. The next prime is 10231133201123. The reversal of 10231133201120 is 2110233113201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10231133201092 and 10231133201101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231133201123) 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, 2510192 + ... + 5173328.

It is an arithmetic number, because the mean of its divisors is an integer number (271296531198).

Almost surely, 210231133201120 is an apocalyptic number.

10231133201120 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 10231133201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13022233497504).

10231133201120 is an abundant number, since it is smaller than the sum of its proper divisors (15813333793888).

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

10231133201120 is a wasteful number, since it uses less digits than its factorization.

10231133201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665012 (or 2665004 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10231133201120 its reverse (2110233113201), we get a palindrome (12341366314321).

The spelling of 10231133201120 in words is "ten trillion, two hundred thirty-one billion, one hundred thirty-three million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1847 2080 3694 7388 9235 14776 18470 24011 29552 36940 48022 59104 73880 96044 120055 147760 192088 240110 295520 384176 480220 768352 960440 1920880 2663137 3841760 5326274 10652548 13315685 21305096 26631370 34620781 42610192 53262740 69241562 85220384 106525480 138483124 173103905 213050960 276966248 346207810 426101920 553932496 692415620 1107864992 1384831240 2769662480 4918814039 5539324960 9837628078 19675256156 24594070195 39350512312 49188140390 63944582507 78701024624 98376280780 127889165014 157402049248 196752561560 255778330028 319722912535 393505123120 511556660056 639445825070 787010246240 1023113320112 1278891650140 2046226640224 2557783300280 5115566600560 10231133201120