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1110100242020 = 2257211761135319
BaseRepresentation
bin10000001001110111001…
…000010110111001100100
310221010100210110020001112
4100021313020112321210
5121141441130221040
62205550100444152
7143126214240200
oct20116710267144
93833323406045
101110100242020
11398877712350
1215b18a3a9658
13808b3492443
143ba2ca81b00
151dd22560365
hex10277216e64

1110100242020 has 144 divisors (see below), whose sum is σ = 2962254395520. Its totient is φ = 345548044800.

The previous prime is 1110100241941. The next prime is 1110100242047. The reversal of 1110100242020 is 202420010111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1110100241986 and 1110100242004.

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, 8135921 + ... + 8271239.

It is an arithmetic number, because the mean of its divisors is an integer number (20571211080).

Almost surely, 21110100242020 is an apocalyptic number.

1110100242020 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 1110100242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481127197760).

1110100242020 is an abundant number, since it is smaller than the sum of its proper divisors (1852154153500).

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

1110100242020 is a wasteful number, since it uses less digits than its factorization.

1110100242020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136114 (or 136105 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1110100242020 its reverse (202420010111), we get a palindrome (1312520252131).

The spelling of 1110100242020 in words is "one trillion, one hundred ten billion, one hundred million, two hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 761 770 980 1078 1522 1540 2156 2695 3044 3805 5327 5390 7610 8371 10654 10780 15220 16742 21308 26635 33484 37289 41855 53270 58597 74578 83710 106540 117194 135319 149156 167420 186445 234388 270638 292985 372890 410179 541276 585970 676595 745780 820358 947233 1171940 1353190 1488509 1640716 1894466 2050895 2706380 2977018 3788932 4101790 4736165 5954036 6630631 7442545 8203580 9472330 10419563 13261262 14885090 18944660 20839126 26522524 29770180 33153155 41678252 52097815 66306310 72936941 102977759 104195630 132612620 145873882 205955518 208391260 291747764 364684705 411911036 514888795 720844313 729369410 1029777590 1132755349 1441688626 1458738820 2059555180 2265510698 2883377252 3604221565 4531021396 5045910191 5663776745 7208443130 7929287443 10091820382 11327553490 14416886260 15858574886 20183640764 22655106980 25229550955 31717149772 39646437215 50459101910 55505012101 79292874430 100918203820 111010024202 158585748860 222020048404 277525060505 555050121010 1110100242020