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10012012012020 = 22351723118625613
BaseRepresentation
bin1001000110110001101001…
…1010110110000111110100
31022110010202022221200120110
42101230122122312013310
52303014100033341040
633143242124103020
72052225663640434
oct221543232660764
938403668850513
1010012012012020
11321008584a487
12115848a694a70
13578189937645
142688265962c4
1512567e787980
hex91b1a6b61f4

10012012012020 has 144 divisors (see below), whose sum is σ = 30740309365248. Its totient is φ = 2431759902720.

The previous prime is 10012012012019. The next prime is 10012012012033. The reversal of 10012012012020 is 2021021021001.

10012012012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10012012011987 and 10012012012005.

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, 8775267 + ... + 9850346.

It is an arithmetic number, because the mean of its divisors is an integer number (213474370592).

Almost surely, 210012012012020 is an apocalyptic number.

10012012012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012012012020 is an abundant number, since it is smaller than the sum of its proper divisors (20728297353228).

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

10012012012020 is a wasteful number, since it uses less digits than its factorization.

10012012012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18625690 (or 18625671 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10012012012020 its reverse (2021021021001), we get a palindrome (12033033033021).

The spelling of 10012012012020 in words is "ten trillion, twelve billion, twelve million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 289 310 340 372 465 510 527 578 620 867 930 1020 1054 1156 1445 1581 1734 1860 2108 2635 2890 3162 3468 4335 5270 5780 6324 7905 8670 8959 10540 15810 17340 17918 26877 31620 35836 44795 53754 89590 107508 134385 179180 268770 537540 18625613 37251226 55876839 74502452 93128065 111753678 186256130 223507356 279384195 316635421 372512260 558768390 577394003 633270842 949906263 1117536780 1154788006 1266541684 1583177105 1732182009 1899812526 2309576012 2886970015 3166354210 3464364018 3799625052 4749531315 5382802157 5773940030 6332708420 6928728036 8660910045 9499062630 9815698051 10765604314 11547880060 16148406471 17321820090 18998125260 19631396102 21531208628 26914010785 29447094153 32296812942 34643640180 39262792204 49078490255 53828021570 58894188306 64593625884 80742032355 98156980510 107656043140 117788376612 147235470765 161484064710 166866866867 196313961020 294470941530 322968129420 333733733734 500600600601 588941883060 667467467468 834334334335 1001201201202 1668668668670 2002402402404 2503003003005 3337337337340 5006006006010 10012012012020