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1332103310010 = 233511835403851
BaseRepresentation
bin10011011000100111100…
…010110110101010111010
311201100101120101120112000
4103120213202312222322
5133311121421410020
62455543153001430
7165145522211364
oct23304742665272
94640346346460
101332103310010
11473a3a655160
12196206853276
1398803168b75
144868d0a1d34
15249b751c090
hex136278b6aba

1332103310010 has 128 divisors (see below), whose sum is σ = 3921899627520. Its totient is φ = 319043304000.

The previous prime is 1332103309987. The next prime is 1332103310017. The reversal of 1332103310010 is 100133012331.

It is a happy number.

1332103310010 is a `hidden beast` number, since 1 + 3 + 321 + 0 + 331 + 0 + 0 + 10 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1332103310017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2455416 + ... + 2948435.

It is an arithmetic number, because the mean of its divisors is an integer number (30639840840).

Almost surely, 21332103310010 is an apocalyptic number.

1332103310010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1332103310010 is an abundant number, since it is smaller than the sum of its proper divisors (2589796317510).

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

1332103310010 is a wasteful number, since it uses less digits than its factorization.

1332103310010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5403961 (or 5403955 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1332103310010 its reverse (100133012331), we get a palindrome (1432236322341).

The spelling of 1332103310010 in words is "one trillion, three hundred thirty-two billion, one hundred three million, three hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 83 90 99 110 135 165 166 198 249 270 297 330 415 495 498 594 747 830 913 990 1245 1485 1494 1826 2241 2490 2739 2970 3735 4482 4565 5478 7470 8217 9130 11205 13695 16434 22410 24651 27390 41085 49302 82170 123255 246510 5403851 10807702 16211553 27019255 32423106 48634659 54038510 59442361 81057765 97269318 118884722 145903977 162115530 178327083 243173295 291807954 297211805 356654166 448519633 486346590 534981249 594423610 729519885 891635415 897039266 1069962498 1345558899 1459039770 1604943747 1783270830 2242598165 2674906245 2691117798 3209887494 4036676697 4485196330 4933715963 5349812490 6727794495 8024718735 8073353394 9867431926 12110030091 13455588990 14801147889 16049437470 20183383485 24220060182 24668579815 29602295778 40366766970 44403443667 49337159630 60550150455 74005739445 88806887334 121100300910 133210331001 148011478890 222017218335 266420662002 444034436670 666051655005 1332103310010