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10221032432442 = 23132341592355247
BaseRepresentation
bin1001010010111100010100…
…0000011110001100111010
31100012010021022202012122010
42110233011000132030322
52314430133300314232
633423251045110350
72103305466125316
oct224570500361472
940163238665563
1010221032432442
113290796389a97
121190aa30b83b6
13591abaa066a0
142749b4686b46
1512ad14abe0cc
hex94bc501e33a

10221032432442 has 128 divisors (see below), whose sum is σ = 23930827038720. Its totient is φ = 2885082140160.

The previous prime is 10221032432431. The next prime is 10221032432447. The reversal of 10221032432442 is 24423423012201.

It is not an unprimeable number, because it can be changed into a prime (10221032432447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3162063 + ... + 5517309.

It is an arithmetic number, because the mean of its divisors is an integer number (186959586240).

Almost surely, 210221032432442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221032432442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11965413519360).

10221032432442 is an abundant number, since it is smaller than the sum of its proper divisors (13709794606278).

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

10221032432442 is a wasteful number, since it uses less digits than its factorization.

10221032432442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355388.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10221032432442 its reverse (24423423012201), we get a palindrome (34644455444643).

The spelling of 10221032432442 in words is "ten trillion, two hundred twenty-one billion, thirty-two million, four hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 23 26 39 41 46 59 69 78 82 118 123 138 177 246 299 354 533 598 767 897 943 1066 1357 1534 1599 1794 1886 2301 2419 2714 2829 3198 4071 4602 4838 5658 7257 8142 12259 14514 17641 24518 31447 35282 36777 52923 55637 62894 73554 94341 105846 111274 166911 188682 333822 723281 1446562 2169843 2355247 4339686 4710494 7065741 14131482 30618211 54170681 61236422 91854633 96565127 108341362 138959573 162512043 183709266 193130254 277919146 289695381 325024086 416878719 579390762 704218853 833757438 1255346651 1408437706 1806474449 2112656559 2220997921 2510693302 3196070179 3612948898 3766039953 4225313118 4441995842 5419423347 5697342493 6392140358 6662993763 7532079906 9588210537 10838846694 11394684986 13325987526 17092027479 19176421074 28872972973 34184054958 41548912327 57745945946 74065452409 83097824654 86618918919 124646736981 131038877339 148130904818 173237837838 222196357227 249293473962 262077754678 393116632017 444392714454 786233264034 1703505405407 3407010810814 5110516216221 10221032432442