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110020110001020 = 2232556910211052111
BaseRepresentation
bin11001000001000000001101…
…100100110010001101111100
3112102112211010122001200101200
4121001000031210302031330
5103410032141130013040
61025554312450535500
732113455613641252
oct3101001544621574
9472484118050350
10110020110001020
11320682a297164a
121040a774297590
134950b0c6b1a4b
141d25004a9c5d2
15cabd1ee5b630
hex64100d93237c

110020110001020 has 144 divisors (see below), whose sum is σ = 334641939166080. Its totient is φ = 29258421580800.

The previous prime is 110020110001001. The next prime is 110020110001063. The reversal of 110020110001020 is 20100011020011.

It is a happy number.

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 = 110020110000993 and 110020110001011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104044765 + ... + 105096875.

It is an arithmetic number, because the mean of its divisors is an integer number (2323902355320).

Almost surely, 2110020110001020 is an apocalyptic number.

110020110001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110020110001020 is an abundant number, since it is smaller than the sum of its proper divisors (224621829165060).

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

110020110001020 is a wasteful number, since it uses less digits than its factorization.

110020110001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053716 (or 1053711 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110020110001020 its reverse (20100011020011), we get a palindrome (130120121021031).

The spelling of 110020110001020 in words is "one hundred ten trillion, twenty billion, one hundred ten million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 569 1021 1138 1707 2042 2276 2845 3063 3414 4084 5105 5121 5690 6126 6828 8535 9189 10210 10242 11380 12252 15315 17070 18378 20420 20484 25605 30630 34140 36756 45945 51210 61260 91890 102420 183780 580949 1052111 1161898 1742847 2104222 2323796 2904745 3156333 3485694 4208444 5228541 5260555 5809490 6312666 6971388 8714235 9468999 10457082 10521110 11618980 12625332 15781665 17428470 18937998 20914164 21042220 26142705 31563330 34856940 37875996 47344995 52285410 63126660 94689990 104570820 189379980 598651159 1074205331 1197302318 1795953477 2148410662 2394604636 2993255795 3222615993 3591906954 4296821324 5371026655 5387860431 5986511590 6445231986 7183813908 8979767385 9667847979 10742053310 10775720862 11973023180 12890463972 16113079965 17959534770 19335695958 21484106620 21551441724 26939302155 32226159930 35919069540 38671391916 48339239895 53878604310 64452319860 96678479790 107757208620 193356959580 611222833339 1222445666678 1833668500017 2444891333356 3056114166695 3667337000034 5501005500051 6112228333390 7334674000068 9168342500085 11002011000102 12224456666780 18336685000170 22004022000204 27505027500255 36673370000340 55010055000510 110020110001020