Search a number
-
+
100002001212120 = 23357119050001443
BaseRepresentation
bin10110101111001110000111…
…110000100101001011011000
3111010002002122101221122020010
4112233032013300211023120
5101101413044302241440
6552404141331401520
730030622546153020
oct2657160760451330
9433062571848203
10100002001212120
1129955679701497
12b271083a532a0
1343a51c0925c27
141a9a1a0904a80
15b86435321580
hex5af387c252d8

100002001212120 has 64 divisors (see below), whose sum is σ = 342864004158720. Its totient is φ = 22857600276864.

The previous prime is 100002001212101. The next prime is 100002001212121. The reversal of 100002001212120 is 21212100200001.

100002001212120 is digitally balanced in base 4, 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 100002001212096 and 100002001212105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002001212121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59524999882 + ... + 59525001561.

It is an arithmetic number, because the mean of its divisors is an integer number (5357250064980).

Almost surely, 2100002001212120 is an apocalyptic number.

100002001212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002001212120 is an abundant number, since it is smaller than the sum of its proper divisors (242862002946600).

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

100002001212120 is a wasteful number, since it uses less digits than its factorization.

100002001212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119050001464 (or 119050001460 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100002001212120 its reverse (21212100200001), we get a palindrome (121214101412121).

The spelling of 100002001212120 in words is "one hundred trillion, two billion, one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 119050001443 238100002886 357150004329 476200005772 595250007215 714300008658 833350010101 952400011544 1190500014430 1428600017316 1666700020202 1785750021645 2381000028860 2500050030303 2857200034632 3333400040404 3571500043290 4166750050505 4762000057720 5000100060606 6666800080808 7143000086580 8333500101010 10000200121212 12500250151515 14286000173160 16667000202020 20000400242424 25000500303030 33334000404040 50001000606060 100002001212120