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10112421040020 = 22325135973246567
BaseRepresentation
bin1001001100100111101101…
…0000111000111110010100
31022210201221000020210202100
42103021323100320332110
52311140214241240040
633301325422042100
72062412135411415
oct223117320707624
938721830223670
1010112421040020
113249721057352
121173a31419330
1358479c0c9990
1426d62da8b80c
151280a986ab30
hex9327b438f94

10112421040020 has 144 divisors (see below), whose sum is σ = 33593805947520. Its totient is φ = 2447021276928.

The previous prime is 10112421039979. The next prime is 10112421040081. The reversal of 10112421040020 is 2004012421101.

10112421040020 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 242 + 1 + 0 + 400 + 20 = 666.

10112421040020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101124210400202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10112421039975 and 10112421040002.

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, 36485224 + ... + 36761343.

It is an arithmetic number, because the mean of its divisors is an integer number (233290319080).

Almost surely, 210112421040020 is an apocalyptic number.

10112421040020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112421040020 is an abundant number, since it is smaller than the sum of its proper divisors (23481384907500).

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

10112421040020 is a wasteful number, since it uses less digits than its factorization.

10112421040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73246654 (or 73246649 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10112421040020 its reverse (2004012421101), we get a palindrome (12116433461121).

The spelling of 10112421040020 in words is "ten trillion, one hundred twelve billion, four hundred twenty-one million, forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 59 60 65 78 90 117 118 130 156 177 180 195 234 236 260 295 354 390 468 531 585 590 708 767 780 885 1062 1170 1180 1534 1770 2124 2301 2340 2655 3068 3540 3835 4602 5310 6903 7670 9204 10620 11505 13806 15340 23010 27612 34515 46020 69030 138060 73246567 146493134 219739701 292986268 366232835 439479402 659219103 732465670 878958804 952205371 1098698505 1318438206 1464931340 1904410742 2197397010 2636876412 2856616113 3296095515 3808821484 4321547453 4394794020 4761026855 5713232226 6592191030 8569848339 8643094906 9522053710 11426464452 12964642359 13184382060 14283080565 17139696678 17286189812 19044107420 21607737265 25929284718 28566161130 34279393356 38893927077 42849241695 43215474530 51858569436 56180116889 57132322260 64823211795 77787854154 85698483390 86430949060 112360233778 129646423590 155575708308 168540350667 171396966780 194469635385 224720467556 259292847180 280900584445 337080701334 388939270770 505621052001 561801168890 674161402668 777878541540 842701753335 1011242104002 1123602337780 1685403506670 2022484208004 2528105260005 3370807013340 5056210520010 10112421040020