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110002012020 = 2232519179179689
BaseRepresentation
bin110011001110010100…
…0010111111101110100
3101111221020012012100100
41212130220113331310
53300241003341040
6122311220514100
710642644450255
oct1463450277564
9344836165310
10110002012020
11427192a483a
121939b54b930
13a4b0a52954
145477588b2c
152cdc393b30
hex199ca17f74

110002012020 has 144 divisors (see below), whose sum is σ = 353198664000. Its totient is φ = 27634576896.

The previous prime is 110002011989. The next prime is 110002012111. The reversal of 110002012020 is 20210200011.

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 = 110002011993 and 110002012011.

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, 522336 + ... + 702024.

It is an arithmetic number, because the mean of its divisors is an integer number (2452768500).

Almost surely, 2110002012020 is an apocalyptic number.

110002012020 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 110002012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176599332000).

110002012020 is an abundant number, since it is smaller than the sum of its proper divisors (243196651980).

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

110002012020 is a wasteful number, since it uses less digits than its factorization.

110002012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179902 (or 179897 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 110002012020 its reverse (20210200011), we get a palindrome (130212212031).

The spelling of 110002012020 in words is "one hundred ten billion, two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 179 180 190 228 285 342 358 380 537 570 684 716 855 895 1074 1140 1611 1710 1790 2148 2685 3222 3401 3420 3580 5370 6444 6802 8055 10203 10740 13604 16110 17005 20406 30609 32220 34010 40812 51015 61218 68020 102030 122436 153045 179689 204060 306090 359378 539067 612180 718756 898445 1078134 1617201 1796890 2156268 2695335 3234402 3414091 3593780 5390670 6468804 6828182 8086005 10242273 10781340 13656364 16172010 17070455 20484546 30726819 32164331 32344020 34140910 40969092 51211365 61453638 64328662 68281820 96492993 102422730 122907276 128657324 153634095 160821655 192985986 204845460 289478979 307268190 321643310 385971972 482464965 578957958 611122289 614536380 643286620 964929930 1157915916 1222244578 1447394895 1833366867 1929859860 2444489156 2894789790 3055611445 3666733734 5500100601 5789579580 6111222890 7333467468 9166834335 11000201202 12222445780 18333668670 22000402404 27500503005 36667337340 55001006010 110002012020