Search a number
-
+
10200110202 = 2322983311757
BaseRepresentation
bin10010111111111100…
…10101010001111010
3222022212022021201100
421133332111101322
5131342212011302
64404051432230
7510524335422
oct113776252172
928285267640
1010200110202
114364772847
121b87bb5676
13c672b2989
146ca973482
153ea739d1c
hex25ff9547a

10200110202 has 96 divisors (see below), whose sum is σ = 23242826880. Its totient is φ = 3228543360.

The previous prime is 10200110197. The next prime is 10200110213. The reversal of 10200110202 is 20201100201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13474008 + ... + 13474764.

It is an arithmetic number, because the mean of its divisors is an integer number (242112780).

Almost surely, 210200110202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200110202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621413440).

10200110202 is an abundant number, since it is smaller than the sum of its proper divisors (13042716678).

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

10200110202 is a wasteful number, since it uses less digits than its factorization.

10200110202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10200110202 its reverse (20201100201), we get a palindrome (30401210403).

The spelling of 10200110202 in words is "ten billion, two hundred million, one hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 9 18 29 58 83 87 166 174 249 261 311 498 522 622 747 757 933 1494 1514 1866 2271 2407 2799 4542 4814 5598 6813 7221 9019 13626 14442 18038 21663 21953 25813 27057 43326 43906 51626 54114 62831 65859 77439 81171 125662 131718 154878 162342 188493 197577 232317 235427 376986 395154 464634 470854 565479 706281 748577 1130958 1412562 1497154 1822099 2118843 2245731 3644198 4237686 4491462 5466297 6737193 6827383 10932594 13474386 13654766 16398891 19540441 20482149 32797782 39080882 40964298 58621323 61446447 117242646 122892894 175863969 351727938 566672789 1133345578 1700018367 3400036734 5100055101 10200110202