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10032303424 = 2611136716361
BaseRepresentation
bin10010101011111100…
…01100110101000000
3221220011112211002111
421111332030311000
5131021232202144
64335255025104
7503416113013
oct112576146500
927804484074
1010032303424
114288a79060
121b3b96b194
13c3b5baa20
146b257137a
153dab3e534
hex255f8cd40

10032303424 has 112 divisors (see below), whose sum is σ = 23738774976. Its totient is φ = 4146278400.

The previous prime is 10032303409. The next prime is 10032303481. The reversal of 10032303424 is 42430323001.

It is a happy number.

It is a super-2 number, since 2×100323034242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10032303395 and 10032303404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605004 + ... + 621364.

It is an arithmetic number, because the mean of its divisors is an integer number (211953348).

Almost surely, 210032303424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11869387488).

10032303424 is an abundant number, since it is smaller than the sum of its proper divisors (13706471552).

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

10032303424 is a wasteful number, since it uses less digits than its factorization.

10032303424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16464 (or 16454 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 10032303424 its reverse (42430323001), we get a palindrome (52462626425).

The spelling of 10032303424 in words is "ten billion, thirty-two million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 67 88 104 134 143 176 208 268 286 352 416 536 572 704 737 832 871 1072 1144 1474 1742 2144 2288 2948 3484 4288 4576 5896 6968 9152 9581 11792 13936 16361 19162 23584 27872 32722 38324 47168 55744 65444 76648 130888 153296 179971 212693 261776 306592 359942 425386 523552 613184 719884 850772 1047104 1096187 1439768 1701544 2192374 2339623 2879536 3403088 4384748 4679246 5759072 6806176 8769496 9358492 11518144 12058057 13612352 14250431 17538992 18716984 24116114 28500862 35077984 37433968 48232228 57001724 70155968 74867936 96464456 114003448 149735872 156754741 192928912 228006896 313509482 385857824 456013792 627018964 771715648 912027584 1254037928 2508075856 5016151712 10032303424