Search a number
-
+
100121002020 = 223351314262251
BaseRepresentation
bin101110100111110101…
…1010100000000100100
3100120102121022212211000
41131033223110000210
53120021434031040
6113554524313300
710143043322034
oct1351753240044
9316377285730
10100121002020
1139508771776
12174a23a2830
1395978c7780
144bbb15b8c4
15290eb8c130
hex174fad4024

100121002020 has 96 divisors (see below), whose sum is σ = 335448167040. Its totient is φ = 24645168000.

The previous prime is 100121002001. The next prime is 100121002043. The reversal of 100121002020 is 20200121001.

100121002020 is digitally balanced in base 3, 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 100121001993 and 100121002011.

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, 7124106 + ... + 7138145.

It is an arithmetic number, because the mean of its divisors is an integer number (3494251740).

Almost surely, 2100121002020 is an apocalyptic number.

100121002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121002020 is an abundant number, since it is smaller than the sum of its proper divisors (235327165020).

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

100121002020 is a wasteful number, since it uses less digits than its factorization.

100121002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14262282 (or 14262274 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100121002020 its reverse (20200121001), we get a palindrome (120321123021).

The spelling of 100121002020 in words is "one hundred billion, one hundred twenty-one million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 14262251 28524502 42786753 57049004 71311255 85573506 128360259 142622510 171147012 185409263 213933765 256720518 285245020 370818526 385080777 427867530 513441036 556227789 641801295 741637052 770161554 855735060 927046315 1112455578 1283602590 1540323108 1668683367 1854092630 1925403885 2224911156 2567205180 2781138945 3337366734 3708185260 3850807770 5006050101 5562277890 6674733468 7701615540 8343416835 10012100202 11124555780 16686833670 20024200404 25030250505 33373667340 50060501010 100121002020