Search a number
-
+
10040323222100 = 2252100403232221
BaseRepresentation
bin1001001000011011000111…
…1001100010101001010100
31022112211211101111011200202
42102012301321202221110
52304000040221101400
633204243311400032
72054250366153503
oct222066171425124
938484741434622
1010040323222100
113221093787666
121161a6bb23018
1357aa4c179762
14269d505d683a
15126289ec44d5
hex921b1e62a54

10040323222100 has 18 divisors (see below), whose sum is σ = 21787501392174. Its totient is φ = 4016129288800.

The previous prime is 10040323222087. The next prime is 10040323222123. The reversal of 10040323222100 is 122232304001.

It can be written as a sum of positive squares in 3 ways, for example, as 454537549636 + 9585785672464 = 674194^2 + 3096092^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50201616011 + ... + 50201616210.

Almost surely, 210040323222100 is an apocalyptic number.

10040323222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10040323222100 is an abundant number, since it is smaller than the sum of its proper divisors (11747178170074).

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

10040323222100 is a wasteful number, since it uses less digits than its factorization.

10040323222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100403232235 (or 100403232228 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10040323222100 its reverse (122232304001), we get a palindrome (10162555526101).

The spelling of 10040323222100 in words is "ten trillion, forty billion, three hundred twenty-three million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 100403232221 200806464442 401612928884 502016161105 1004032322210 2008064644420 2510080805525 5020161611050 10040323222100