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10221432424 = 2379710318269
BaseRepresentation
bin10011000010011111…
…01010111001101000
3222101100102120022021
421201033222321220
5131413141314144
64410132434224
7511203512350
oct114117527150
928340376267
1010221432424
114375806515
121b93178974
13c6b839b88
146cd723b60
153ec54c884
hex2613eae68

10221432424 has 64 divisors (see below), whose sum is σ = 22344940800. Its totient is φ = 4293126144.

The previous prime is 10221432409. The next prime is 10221432443. The reversal of 10221432424 is 42423412201.

10221432424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 550362 + ... + 568630.

It is an arithmetic number, because the mean of its divisors is an integer number (349139700).

Almost surely, 210221432424 is an apocalyptic number.

10221432424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221432424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11172470400).

10221432424 is an abundant number, since it is smaller than the sum of its proper divisors (12123508376).

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

10221432424 is a wasteful number, since it uses less digits than its factorization.

10221432424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18482 (or 18478 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10221432424 its reverse (42423412201), we get a palindrome (52644844625).

The spelling of 10221432424 in words is "ten billion, two hundred twenty-one million, four hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 97 103 194 206 388 412 679 721 776 824 1358 1442 2716 2884 5432 5768 9991 18269 19982 36538 39964 69937 73076 79928 127883 139874 146152 255766 279748 511532 559496 1023064 1772093 1881707 3544186 3763414 7088372 7526828 12404651 13171949 14176744 15053656 24809302 26343898 49618604 52687796 99237208 105375592 182525579 365051158 730102316 1277679053 1460204632 2555358106 5110716212 10221432424