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110131320121020 = 22355112060069587
BaseRepresentation
bin11001000010100111110010…
…001101101110011010111100
3112102221110012001112010100000
4121002213302031232122330
5103413342420422333040
61030121344025434300
732124503531236332
oct3102476215563274
9472843161463300
10110131320121020
11321004810aa830
121042823033b990
13495b453807493
141d2a554887b52
15caeb7d3dd130
hex6429f236e6bc

110131320121020 has 144 divisors (see below), whose sum is σ = 377932126336128. Its totient is φ = 26698501834560.

The previous prime is 110131320120907. The next prime is 110131320121063. The reversal of 110131320121020 is 20121023131011.

110131320121020 is a `hidden beast` number, since 1 + 1 + 0 + 131 + 320 + 1 + 210 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 110131320120984 and 110131320121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1029981334 + ... + 1030088253.

It is an arithmetic number, because the mean of its divisors is an integer number (2624528655112).

Almost surely, 2110131320121020 is an apocalyptic number.

110131320121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110131320121020 is an abundant number, since it is smaller than the sum of its proper divisors (267800806215108).

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

110131320121020 is a wasteful number, since it uses less digits than its factorization.

110131320121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060069622 (or 2060069608 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 110131320121020 its reverse (20121023131011), we get a palindrome (130252343252031).

The spelling of 110131320121020 in words is "one hundred ten trillion, one hundred thirty-one billion, three hundred twenty million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1620 1782 1980 2430 2673 2970 3564 4455 4860 5346 5940 8910 10692 13365 17820 26730 53460 2060069587 4120139174 6180208761 8240278348 10300347935 12360417522 18540626283 20600695870 22660765457 24720835044 30901043805 37081252566 41201391740 45321530914 55621878849 61802087610 67982296371 74162505132 90643061828 92703131415 111243757698 113303827285 123604175220 135964592742 166865636547 185406262830 203946889113 222487515396 226607654570 271929185484 278109394245 333731273094 339911481855 370812525660 407893778226 453215309140 500596909641 556218788490 611840667339 667462546188 679822963710 815787556452 834328182735 1001193819282 1019734445565 1112437576980 1223681334678 1359645927420 1668656365470 1835522002017 2002387638564 2039468891130 2447362669356 2502984548205 3059203336695 3337312730940 3671044004034 4078937782260 5005969096410 5506566006051 6118406673390 7342088008068 9177610010085 10011938192820 11013132012102 12236813346780 18355220020170 22026264024204 27532830030255 36710440040340 55065660060510 110131320121020