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110120020120 = 235113719073547
BaseRepresentation
bin110011010001110101…
…0100010100010011000
3101112020110020122000201
41212203222202202120
53301011211120440
6122331034111544
710645606504225
oct1464352424230
9345213218021
10110120020120
1142779975aa0
1219412b7b5b4
13a4cc330026
14548910694c
152ce790419a
hex19a3aa2898

110120020120 has 128 divisors (see below), whose sum is σ = 277823727360. Its totient is φ = 38929973760.

The previous prime is 110120020069. The next prime is 110120020159. The reversal of 110120020120 is 21020021011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110120020097 and 110120020106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31044187 + ... + 31047733.

It is an arithmetic number, because the mean of its divisors is an integer number (2170497870).

Almost surely, 2110120020120 is an apocalyptic number.

110120020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110120020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138911863680).

110120020120 is an abundant number, since it is smaller than the sum of its proper divisors (167703707240).

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

110120020120 is a wasteful number, since it uses less digits than its factorization.

110120020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5513 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110120020120 its reverse (21020021011), we get a palindrome (131140041131).

The spelling of 110120020120 in words is "one hundred ten billion, one hundred twenty million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1480 1628 1907 2035 3256 3547 3814 4070 7094 7628 8140 9535 14188 15256 16280 17735 19070 20977 28376 35470 38140 39017 41954 70559 70940 76280 78034 83908 104885 131239 141118 141880 156068 167816 195085 209770 262478 282236 312136 352795 390170 419540 524956 564472 656195 705590 776149 780340 839080 1049912 1312390 1411180 1443629 1552298 1560680 2624780 2822360 2887258 3104596 3880745 5249560 5774516 6209192 6764129 7218145 7761490 11549032 13528258 14436290 15522980 27056516 28872580 31045960 33820645 54113032 57745160 67641290 74405419 135282580 148810838 250272773 270565160 297621676 372027095 500545546 595243352 744054190 1001091092 1251363865 1488108380 2002182184 2502727730 2753000503 2976216760 5005455460 5506001006 10010910920 11012002012 13765002515 22024004024 27530005030 55060010060 110120020120