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20020110101112 = 23311449685724631
BaseRepresentation
bin1001000110101010010111…
…00011010000101001111000
32121212220101220011111020110
410203111023203100221320
510111002141141213422
6110325040035224320
74134255664041162
oct443251343205170
977786356144213
1020020110101112
116419532257710
1222b40464480a0
13b22b7172aa54
144d2d9b003932
1524ab805ee60c
hex12354b8d0a78

20020110101112 has 128 divisors (see below), whose sum is σ = 54732106944000. Its totient is φ = 6052059955200.

The previous prime is 20020110101059. The next prime is 20020110101179. The reversal of 20020110101112 is 21110101102002.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 812789037 + ... + 812813667.

It is an arithmetic number, because the mean of its divisors is an integer number (427594585500).

Almost surely, 220020110101112 is an apocalyptic number.

20020110101112 is a gapful number since it is divisible by the number (22) 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 20020110101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27366053472000).

20020110101112 is an abundant number, since it is smaller than the sum of its proper divisors (34711996842888).

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

20020110101112 is a wasteful number, since it uses less digits than its factorization.

20020110101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31957 (or 31953 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20020110101112 its reverse (21110101102002), we get a palindrome (41130211203114).

The spelling of 20020110101112 in words is "twenty trillion, twenty billion, one hundred ten million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 449 898 1347 1796 2694 3592 4939 5388 6857 9878 10776 13714 14817 19756 20571 24631 27428 29634 39512 41142 49262 54856 59268 73893 75427 82284 98524 118536 147786 150854 164568 197048 226281 270941 295572 301708 452562 541882 591144 603416 812823 905124 1083764 1625646 1810248 2167528 3078793 3251292 6157586 6502584 9236379 11059319 12315172 18472758 22118638 24630344 33177957 33866723 36945516 44237276 66355914 67733446 73891032 88474552 101600169 121652509 132711828 135466892 168894767 203200338 243305018 265423656 270933784 337789534 364957527 406400676 486610036 506684301 675579068 729915054 812801352 973220072 1013368602 1351158136 1459830108 1857842437 2026737204 2919660216 3715684874 4053474408 5573527311 7431369748 11147054622 14862739496 22294109244 44588218488 75833750383 151667500766 227501251149 303335001532 455002502298 606670003064 834171254213 910005004596 1668342508426 1820010009192 2502513762639 3336685016852 5005027525278 6673370033704 10010055050556 20020110101112