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20112110032 = 24717193229239
BaseRepresentation
bin10010101110110001…
…100111000111010000
31220220122111001022011
4102232301213013100
5312142200010112
613123412152304
71311253054210
oct225661470720
956818431264
1020112110032
118590841a43
123a93608694
131b8699b531
14d8b14a240
157caa13aa7
hex4aec671d0

20112110032 has 160 divisors (see below), whose sum is σ = 47804083200. Its totient is φ = 8001552384.

The previous prime is 20112110023. The next prime is 20112110059. The reversal of 20112110032 is 23001121102.

It is a junction number, because it is equal to n+sod(n) for n = 20112109994 and 20112110021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84150969 + ... + 84151207.

It is an arithmetic number, because the mean of its divisors is an integer number (298775520).

Almost surely, 220112110032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23902041600).

20112110032 is an abundant number, since it is smaller than the sum of its proper divisors (27691973168).

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

20112110032 is a wasteful number, since it uses less digits than its factorization.

20112110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 20112110032 its reverse (23001121102), we get a palindrome (43113231134).

The spelling of 20112110032 in words is "twenty billion, one hundred twelve million, one hundred ten thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 193 229 238 239 272 386 458 476 478 772 916 952 956 1351 1544 1603 1673 1832 1904 1912 2702 3088 3206 3281 3346 3664 3824 3893 4063 5404 6412 6562 6692 7786 8126 10808 12824 13124 13384 15572 16252 21616 22967 25648 26248 26768 27251 28441 31144 32504 44197 45934 46127 52496 54502 54731 56882 62288 65008 88394 91868 92254 109004 109462 113764 176788 183736 184508 218008 218924 227528 309379 322889 353576 367472 369016 383117 436016 437848 455056 618758 645778 707152 738032 751349 766234 784159 875696 930427 1237516 1291556 1502698 1532468 1568318 1860854 2475032 2583112 3005396 3064936 3136636 3721708 4950064 5166224 5259443 5489113 6010792 6129872 6273272 6512989 7443416 10518886 10563083 10978226 12021584 12546544 13025978 14886832 21037772 21126166 21956452 26051956 42075544 42252332 43912904 52103912 73941581 84151088 84504664 87825808 104207824 147883162 169009328 179572411 295766324 359144822 591532648 718289644 1183065296 1257006877 1436579288 2514013754 2873158576 5028027508 10056055016 20112110032