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10131420040110 = 23251927192179039
BaseRepresentation
bin1001001101101110011110…
…1100010100101110101110
31022212112222002020000021100
42103123213230110232232
52311443122012240420
633314150552343530
72063654014301265
oct223334754245656
938775862200240
1010131420040110
11325679053a316
1211776540a4ba6
135865092a7275
142705130455dc
1512881c7a9190
hex936e7b14bae

10131420040110 has 96 divisors (see below), whose sum is σ = 27738307584000. Its totient is φ = 2558574122688.

The previous prime is 10131420040081. The next prime is 10131420040117. The reversal of 10131420040110 is 1104002413101.

10131420040110 is a `hidden beast` number, since 1 + 0 + 1 + 314 + 200 + 40 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131420040117) 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, 3559971 + ... + 5739009.

It is an arithmetic number, because the mean of its divisors is an integer number (288940704000).

Almost surely, 210131420040110 is an apocalyptic number.

10131420040110 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 10131420040110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13869153792000).

10131420040110 is an abundant number, since it is smaller than the sum of its proper divisors (17606887543890).

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

10131420040110 is a wasteful number, since it uses less digits than its factorization.

10131420040110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181790 (or 2181787 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10131420040110 its reverse (1104002413101), we get a palindrome (11235422453211).

The spelling of 10131420040110 in words is "ten trillion, one hundred thirty-one billion, four hundred twenty million, forty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 2719 5438 8157 13595 16314 24471 27190 40785 48942 51661 81570 103322 122355 154983 244710 258305 309966 464949 516610 774915 929898 1549830 2179039 2324745 4358078 4649490 6537117 10895195 13074234 19611351 21790390 32685585 39222702 41401741 65371170 82803482 98056755 124205223 196113510 207008705 248410446 372615669 414017410 621026115 745231338 1242052230 1863078345 3726156690 5924807041 11849614082 17774421123 29624035205 35548842246 53323263369 59248070410 88872105615 106646526738 112571333779 177744211230 225142667558 266616316845 337714001337 533232633690 562856668895 675428002674 1013142004011 1125713337790 1688570006685 2026284008022 3377140013370 5065710020055 10131420040110