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20010110110120 = 23513371811574283
BaseRepresentation
bin1001000110010111101111…
…00000010100100110101000
32121211221120222102022110201
410203023313200110212220
510110321201142010440
6110320303452521544
74133453116364404
oct443136740244650
977757528368421
1020010110110120
116415270549449
1222b21154802b4
13b21c39a44710
144d26ccc84104
1524a79774419a
hex1232f78149a8

20010110110120 has 128 divisors (see below), whose sum is σ = 49824052871040. Its totient is φ = 7184681303040.

The previous prime is 20010110110103. The next prime is 20010110110139. The reversal of 20010110110120 is 2101101101002.

20010110110120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 = 20010110110097 and 20010110110106.

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, 34556499 + ... + 35130781.

It is an arithmetic number, because the mean of its divisors is an integer number (389250413055).

Almost surely, 220010110110120 is an apocalyptic number.

20010110110120 is a gapful number since it is divisible by the number (20) 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 20010110110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24912026435520).

20010110110120 is an abundant number, since it is smaller than the sum of its proper divisors (29813942760920).

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

20010110110120 is a wasteful number, since it uses less digits than its factorization.

20010110110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576155 (or 576151 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20010110110120 its reverse (2101101101002), we get a palindrome (22111211211122).

The spelling of 20010110110120 in words is "twenty trillion, ten billion, one hundred ten million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1811 1924 2405 3622 3848 4810 7244 9055 9620 14488 18110 19240 23543 36220 47086 67007 72440 94172 117715 134014 188344 235430 268028 335035 470860 536056 574283 670070 871091 941720 1148566 1340140 1742182 2297132 2680280 2871415 3484364 4355455 4594264 5742830 6968728 7465679 8710910 11485660 14931358 17421820 21248471 22971320 29862716 34843640 37328395 42496942 59725432 74656790 84993884 106242355 149313580 169987768 212484710 276230123 298627160 424969420 552460246 849938840 1040026513 1104920492 1381150615 2080053026 2209840984 2762301230 4160106052 5200132565 5524602460 8320212104 10400265130 11049204920 13520344669 20800530260 27040689338 38480980981 41601060520 54081378676 67601723345 76961961962 108162757352 135203446690 153923923924 192404904905 270406893380 307847847848 384809809810 500252752753 540813786760 769619619620 1000505505506 1539239239240 2001011011012 2501263763765 4002022022024 5002527527530 10005055055060 20010110110120