Search a number
-
+
21402023313100 = 2252297380008039
BaseRepresentation
bin1001101110111000010111…
…11111110011111011001100
32210210000100210200020220211
410313130023333303323030
510301122320432004400
6113303542003252204
74336150042401643
oct467341377637314
983700323606824
1021402023313100
116901602235411
122497a3237a064
13bc32821383a1
1453dc1347035a
15271ab0960dba
hex13770bff3ecc

21402023313100 has 36 divisors (see below), whose sum is σ = 48043852340400. Its totient is φ = 8265609002560.

The previous prime is 21402023313029. The next prime is 21402023313101. The reversal of 21402023313100 is 131332020412.

It is a super-2 number, since 2×214020233131002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21402023313101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3690001120 + ... + 3690006919.

It is an arithmetic number, because the mean of its divisors is an integer number (1334551453900).

Almost surely, 221402023313100 is an apocalyptic number.

21402023313100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21402023313100 is an abundant number, since it is smaller than the sum of its proper divisors (26641829027300).

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

21402023313100 is a wasteful number, since it uses less digits than its factorization.

21402023313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7380008082 (or 7380008075 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 21402023313100 its reverse (131332020412), we get a palindrome (21533355333512).

The spelling of 21402023313100 in words is "twenty-one trillion, four hundred two billion, twenty-three million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 7380008039 14760016078 29520032156 36900040195 73800080390 147600160780 184500200975 214020233131 369000401950 428040466262 738000803900 856080932524 1070101165655 2140202331310 4280404662620 5350505828275 10701011656550 21402023313100