Search a number
-
+
100012223011320 = 233253713754806023
BaseRepresentation
bin10110101111010111101001…
…000001101001100111111000
3111010010002000210001211122200
4112233113221001221213320
5101102100013042330240
6552412551520150200
730031434056053614
oct2657275101514770
9433102023054580
10100012223011320
1129959a44638524
12b273057168360
1343a615c560a19
141a9a8902c2344
15b868328e2930
hex5af5e90699f8

100012223011320 has 192 divisors, whose sum is σ = 336261264131520. Its totient is φ = 25759707236352.

The previous prime is 100012223011307. The next prime is 100012223011369. The reversal of 100012223011320 is 23110322210001.

100012223011320 is a `hidden beast` number, since 10 + 0 + 0 + 1 + 222 + 301 + 132 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100012223011293 and 100012223011302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25578172 + ... + 29227851.

It is an arithmetic number, because the mean of its divisors is an integer number (1751360750685).

Almost surely, 2100012223011320 is an apocalyptic number.

100012223011320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012223011320 is an abundant number, since it is smaller than the sum of its proper divisors (236249041120200).

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

100012223011320 is a wasteful number, since it uses less digits than its factorization.

100012223011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54806214 (or 54806207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100012223011320 its reverse (23110322210001), we get a palindrome (123122545221321).

The spelling of 100012223011320 in words is "one hundred trillion, twelve billion, two hundred twenty-three million, eleven thousand, three hundred twenty".