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10421333132 = 22721713072393
BaseRepresentation
bin10011011010010100…
…01110110010001100
3222220021120120112012
421231022032302030
5132320330130012
64442033200352
7516151604300
oct115512166214
928807516465
1010421333132
114468630911
12202a1000b8
13ca108ac12
1470c0bbd00
1540ed87622
hex26d28ec8c

10421333132 has 72 divisors (see below), whose sum is σ = 22489370064. Its totient is φ = 4198591488.

The previous prime is 10421333129. The next prime is 10421333179. The reversal of 10421333132 is 23133312401.

It is a junction number, because it is equal to n+sod(n) for n = 10421333098 and 10421333107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4353728 + ... + 4356120.

It is an arithmetic number, because the mean of its divisors is an integer number (312352362).

Almost surely, 210421333132 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 10421333132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11244685032).

10421333132 is an abundant number, since it is smaller than the sum of its proper divisors (12068036932).

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

10421333132 is a wasteful number, since it uses less digits than its factorization.

10421333132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3735 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10421333132 its reverse (23133312401), we get a palindrome (33554645533).

The spelling of 10421333132 in words is "ten billion, four hundred twenty-one million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1307 1666 2393 2614 3332 4786 5228 9149 9572 16751 18298 22219 33502 36596 40681 44438 64043 67004 81362 88876 117257 128086 155533 162724 234514 256172 284767 311066 469028 569534 622132 1088731 1139068 1993369 2177462 3127651 3986738 4354924 6255302 7973476 12510604 21893557 43787114 53170067 87574228 106340134 153254899 212680268 306509798 372190469 613019596 744380938 1488761876 2605333283 5210666566 10421333132