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10220202096 = 24313116314083
BaseRepresentation
bin10011000010010101…
…11110100001110000
3222101021010001121120
421201022332201300
5131412332431341
64410050222240
7511160166366
oct114112764160
928337101546
1010220202096
114375046115
121b92884980
13c6b4c8b80
146cd4c3636
153ec3a8066
hex2612be870

10220202096 has 80 divisors (see below), whose sum is σ = 28459595136. Its totient is φ = 3141750528.

The previous prime is 10220202071. The next prime is 10220202107. The reversal of 10220202096 is 69020202201.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 718671 + ... + 732753.

Almost surely, 210220202096 is an apocalyptic number.

10220202096 is a gapful number since it is divisible by the number (16) 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 10220202096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14229797568).

10220202096 is an abundant number, since it is smaller than the sum of its proper divisors (18239393040).

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

10220202096 is a wasteful number, since it uses less digits than its factorization.

10220202096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15270 (or 15264 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10220202096 its reverse (69020202201), we get a palindrome (79240404297).

The spelling of 10220202096 in words is "ten billion, two hundred twenty million, two hundred two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1163 2326 3489 4652 6978 9304 13956 14083 15119 18608 27912 28166 30238 42249 45357 55824 56332 60476 84498 90714 112664 120952 168996 181428 183079 225328 241904 337992 362856 366158 549237 675984 725712 732316 1098474 1464632 2196948 2929264 4393896 8787792 16378529 32757058 49135587 65514116 98271174 131028232 196542348 212920877 262056464 393084696 425841754 638762631 786169392 851683508 1277525262 1703367016 2555050524 3406734032 5110101048 10220202096