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100012110210020 = 22541434316581017
BaseRepresentation
bin10110101111010111100010…
…010011010110001111100100
3111010010001201220210221100202
4112233113202103112033210
5101102044300203210040
6552412532410330032
730031431216214061
oct2657274223261744
9433101656727322
10100012110210020
11299599969a3208
12b273025429918
1343a61420875a8
141a9a87d31bc68
15b86827a60015
hex5af5e24d63e4

100012110210020 has 96 divisors (see below), whose sum is σ = 220662270614016. Its totient is φ = 38033007667200.

The previous prime is 100012110210013. The next prime is 100012110210037. The reversal of 100012110210020 is 20012011210001.

It is a super-2 number, since 2×1000121102100202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100012110209983 and 100012110210010.

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, 11906552 + ... + 18487568.

It is an arithmetic number, because the mean of its divisors is an integer number (2298565318896).

Almost surely, 2100012110210020 is an apocalyptic number.

100012110210020 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 100012110210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110331135307008).

100012110210020 is an abundant number, since it is smaller than the sum of its proper divisors (120650160403996).

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

100012110210020 is a wasteful number, since it uses less digits than its factorization.

100012110210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6581541 (or 6581539 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100012110210020 its reverse (20012011210001), we get a palindrome (120024121420021).

The spelling of 100012110210020 in words is "one hundred trillion, twelve billion, one hundred ten million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 41 43 82 86 164 172 205 215 410 430 431 820 860 862 1724 1763 2155 3526 4310 7052 8620 8815 17630 17671 18533 35260 35342 37066 70684 74132 88355 92665 176710 185330 353420 370660 759853 1519706 3039412 3799265 6581017 7598530 13162034 15197060 26324068 32905085 65810170 131620340 269821697 282983731 539643394 565967462 1079286788 1131934924 1349108485 1414918655 2698216970 2829837310 2836418327 5396433940 5659674620 5672836654 11345673308 11602332971 14182091635 23204665942 28364183270 46409331884 56728366540 58011664855 116023329710 116293151407 121965988061 232046659420 232586302814 243931976122 465172605628 487863952244 581465757035 609829940305 1162931514070 1219659880610 2325863028140 2439319761220 5000605510501 10001211021002 20002422042004 25003027552505 50006055105010 100012110210020