Search a number
-
+
320121110100 = 223521197006397
BaseRepresentation
bin1001010100010001011…
…01000111111001010100
31010121021210100022211010
410222020231013321110
520221102001010400
6403021150212220
732061620353041
oct4521055077124
91117253308733
10320121110100
11113843026110
125205bab4070
132425862b80c
14116cb5521c8
1584d8d9e450
hex4a88b47e54

320121110100 has 72 divisors (see below), whose sum is σ = 1010418641568. Its totient is φ = 77605116800.

The previous prime is 320121110087. The next prime is 320121110117. The reversal of 320121110100 is 1011121023.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48499899 + ... + 48506498.

It is an arithmetic number, because the mean of its divisors is an integer number (14033592244).

Almost surely, 2320121110100 is an apocalyptic number.

320121110100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320121110100 is an abundant number, since it is smaller than the sum of its proper divisors (690297531468).

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

320121110100 is a wasteful number, since it uses less digits than its factorization.

320121110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97006425 (or 97006418 counting only the distinct ones).

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

Adding to 320121110100 its reverse (1011121023), we get a palindrome (321132231123).

The spelling of 320121110100 in words is "three hundred twenty billion, one hundred twenty-one million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 97006397 194012794 291019191 388025588 485031985 582038382 970063970 1067070367 1164076764 1455095955 1940127940 2134140734 2425159925 2910191910 3201211101 4268281468 4850319850 5335351835 5820383820 6402422202 7275479775 9700639700 10670703670 12804844404 14550959550 16006055505 21341407340 26676759175 29101919100 32012111010 53353518350 64024222020 80030277525 106707036700 160060555050 320121110100