Search a number
-
+
100222020121020 = 22357337708082663
BaseRepresentation
bin10110110010011011000001…
…111010000111000110111100
3111010212010112220100021002220
4112302123001322013012330
5101114014144122333040
6553053205504245340
730052542042056640
oct2662330172070674
9433763486307086
10100222020121020
1129a2aa136371a6
12b2a7847910850
1343bcb85510615
141aa6ab35d0c20
15b8c010ee92d0
hex5b26c1e871bc

100222020121020 has 96 divisors (see below), whose sum is σ = 321662127940608. Its totient is φ = 22839914345472.

The previous prime is 100222020121007. The next prime is 100222020121037. The reversal of 100222020121020 is 20121020222001.

100222020121020 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 (15).

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, 353899792 + ... + 354182871.

It is an arithmetic number, because the mean of its divisors is an integer number (3350647166048).

Almost surely, 2100222020121020 is an apocalyptic number.

100222020121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222020121020 is an abundant number, since it is smaller than the sum of its proper divisors (221440107819588).

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

100222020121020 is a wasteful number, since it uses less digits than its factorization.

100222020121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708083019 (or 708083017 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100222020121020 its reverse (20121020222001), we get a palindrome (120343040343021).

The spelling of 100222020121020 in words is "one hundred trillion, two hundred twenty-two billion, twenty million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 337 420 674 1011 1348 1685 2022 2359 3370 4044 4718 5055 6740 7077 9436 10110 11795 14154 20220 23590 28308 35385 47180 70770 141540 708082663 1416165326 2124247989 2832330652 3540413315 4248495978 4956578641 7080826630 8496991956 9913157282 10621239945 14161653260 14869735923 19826314564 21242479890 24782893205 29739471846 42484959780 49565786410 59478943692 74348679615 99131572820 148697359230 238623857431 297394718460 477247714862 715871572293 954495429724 1193119287155 1431743144586 1670367002017 2386238574310 2863486289172 3340734004034 3579357861465 4772477148620 5011101006051 6681468008068 7158715722930 8351835010085 10022202012102 14317431445860 16703670020170 20044404024204 25055505030255 33407340040340 50111010060510 100222020121020