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10413221322 = 2375337912343
BaseRepresentation
bin10011011001010110…
…10010010111001010
3222212201022110012210
421230223102113022
5132311241040242
64441143245550
7516022630560
oct115453222712
928781273183
1010413221322
114463aa0339
1220274498b6
13c9c4aa92a
1470ada9a30
1540e2d3d9c
hex26cad25ca

10413221322 has 64 divisors (see below), whose sum is σ = 24316692480. Its totient is φ = 2911132224.

The previous prime is 10413221297. The next prime is 10413221353. The reversal of 10413221322 is 22312231401.

10413221322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 837483 + ... + 849825.

It is an arithmetic number, because the mean of its divisors is an integer number (379948320).

Almost surely, 210413221322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10413221322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12158346240).

10413221322 is an abundant number, since it is smaller than the sum of its proper divisors (13903471158).

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

10413221322 is a wasteful number, since it uses less digits than its factorization.

10413221322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12787.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10413221322 its reverse (22312231401), we get a palindrome (32725452723).

The spelling of 10413221322 in words is "ten billion, four hundred thirteen million, two hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 371 379 742 758 1113 1137 2226 2274 2653 5306 7959 12343 15918 20087 24686 37029 40174 60261 74058 86401 120522 140609 172802 259203 281218 421827 518406 654179 843654 1308358 1962537 3925074 4579253 4677997 9158506 9355994 13737759 14033991 27475518 28067982 32745979 65491958 98237937 196475874 247933841 495867682 743801523 1487603046 1735536887 3471073774 5206610661 10413221322