Search a number
-
+
100320012221 = 1113947740801
BaseRepresentation
bin101110101101110001…
…0011110011110111101
3100120221110210122111012
41131123202132132331
53120423410342341
6114030354005005
710151011014512
oct1353342363675
9316843718435
10100320012221
1139600039010
1217538b76765
1395c9bc63a0
144bd9763309
15292239d0eb
hex175b89e7bd

100320012221 has 16 divisors (see below), whose sum is σ = 117983089728. Its totient is φ = 84095616000.

The previous prime is 100320012211. The next prime is 100320012223. The reversal of 100320012221 is 122210023001.

It is a happy number.

It is not a de Polignac number, because 100320012221 - 218 = 100319750077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100320012196 and 100320012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100320012223) 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, 234980 + ... + 505821.

It is an arithmetic number, because the mean of its divisors is an integer number (7373943108).

Almost surely, 2100320012221 is an apocalyptic number.

100320012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100320012221 is a deficient number, since it is larger than the sum of its proper divisors (17663077507).

100320012221 is a wasteful number, since it uses less digits than its factorization.

100320012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741772.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100320012221 its reverse (122210023001), we get a palindrome (222530035222).

The spelling of 100320012221 in words is "one hundred billion, three hundred twenty million, twelve thousand, two hundred twenty-one".

Divisors: 1 11 13 143 947 10417 12311 135421 740801 8148811 9630413 105934543 701538547 7716924017 9120001111 100320012221