Search a number
-
+
10021202232 = 2332414433911
BaseRepresentation
bin10010101010100111…
…10110100100111000
3221212101122211010020
421111103312210320
5131010411432412
64334221050440
7503222546016
oct112523664470
927771584106
1010021202232
114282786618
121b380b6a20
13c39201b82
146b0cc18b6
153d9b9a18c
hex2554f6938

10021202232 has 64 divisors (see below), whose sum is σ = 25220194560. Its totient is φ = 3318182400.

The previous prime is 10021202221. The next prime is 10021202263. The reversal of 10021202232 is 23220212001.

It is a happy number.

10021202232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2560357 + ... + 2564267.

It is an arithmetic number, because the mean of its divisors is an integer number (394065540).

Almost surely, 210021202232 is an apocalyptic number.

10021202232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10021202232 is an abundant number, since it is smaller than the sum of its proper divisors (15198992328).

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

10021202232 is a wasteful number, since it uses less digits than its factorization.

10021202232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10021202232 its reverse (23220212001), we get a palindrome (33241414233).

The spelling of 10021202232 in words is "ten billion, twenty-one million, two hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 241 443 482 723 886 964 1329 1446 1772 1928 2658 2892 3544 3911 5316 5784 7822 10632 11733 15644 23466 31288 46932 93864 106763 213526 320289 427052 640578 854104 942551 1281156 1732573 1885102 2562312 2827653 3465146 3770204 5197719 5655306 6930292 7540408 10395438 11310612 13860584 20790876 22621224 41581752 417550093 835100186 1252650279 1670200372 2505300558 3340400744 5010601116 10021202232