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110012000011011 = 32729225116015167
BaseRepresentation
bin11001000000111000101010…
…001011101000001100000011
3112102112001012102200111120100
4121000320222023220030003
5103404414034000323021
61025550452021413443
732113050626110440
oct3100705213501403
9472461172614510
10110012000011011
1132064910aaa06a
121040909026a283
13495011943aca7
141d248759629c7
15cab9e7e86626
hex640e2a2e8303

110012000011011 has 144 divisors (see below), whose sum is σ = 188989228366848. Its totient is φ = 60405004800000.

The previous prime is 110012000011007. The next prime is 110012000011027. The reversal of 110012000011011 is 110110000210011.

It is not a de Polignac number, because 110012000011011 - 22 = 110012000011007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110012000010984 and 110012000011002.

It is not an unprimeable number, because it can be changed into a prime (110012000011091) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21291268950 + ... + 21291274116.

It is an arithmetic number, because the mean of its divisors is an integer number (1312425196992).

Almost surely, 2110012000011011 is an apocalyptic number.

110012000011011 is a deficient number, since it is larger than the sum of its proper divisors (78977228355837).

110012000011011 is a wasteful number, since it uses less digits than its factorization.

110012000011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7090 (or 7058 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110012000011011 its reverse (110110000210011), we get a palindrome (220122000221022).

The spelling of 110012000011011 in words is "one hundred ten trillion, twelve billion, eleven thousand, eleven".

Divisors: 1 3 7 9 21 29 63 87 203 251 261 609 753 841 1601 1757 1827 2259 2523 4803 5167 5271 5887 7279 7569 11207 14409 15501 15813 17661 21837 33621 36169 46429 46503 50953 52983 65511 100863 108507 139287 149843 152859 211091 325003 325521 401851 417861 449529 458577 633273 975009 1048901 1205553 1296917 1346441 1348587 1477637 1899819 2812957 2925027 3146703 3616659 3890751 4039323 4345447 4432911 8272367 8438871 9078419 9425087 9440109 11653679 11672253 12117969 13036341 13298733 24817101 25316613 27235257 28275261 30418129 34961037 37610593 39109023 57906569 74451303 81575753 81705771 84825783 91254387 104883111 112831779 173719707 239898643 244727259 263274151 273763161 337956691 338495337 521159121 719695929 734181777 789822453 1013870073 1090707197 1679290501 2076364117 2159087787 2365696837 2369467359 3041610219 3272121591 5037871503 6229092351 6957060647 7097090511 7634950379 9816364773 14534548819 15113614509 18687277053 20871181941 21291271533 22904851137 43603646457 48699424529 60214559393 62613545823 68714553411 130810939371 146098273587 180643678179 421501915751 438294820761 541931034537 1264505747253 1746222222397 3793517241759 5238666667191 12223555556779 15716000001573 36670666670337 110012000011011