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102201101010 = 23253136631219
BaseRepresentation
bin101111100101110101…
…0010000101011010010
3100202210120101212012100
41133023222100223102
53133301440213020
6114541152141230
710245432011421
oct1371352205322
9322716355170
10102201101010
113a385947948
1217982b37816
139839838288
144d375072b8
1529d25c2a90
hex17cba90ad2

102201101010 has 48 divisors (see below), whose sum is σ = 274294575360. Its totient is φ = 26374476960.

The previous prime is 102201100993. The next prime is 102201101011. The reversal of 102201101010 is 10101102201.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 102201100983 and 102201101001.

It is not an unprimeable number, because it can be changed into a prime (102201101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18312820 + ... + 18318399.

It is an arithmetic number, because the mean of its divisors is an integer number (5714470320).

Almost surely, 2102201101010 is an apocalyptic number.

102201101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102201101010 is an abundant number, since it is smaller than the sum of its proper divisors (172093474350).

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

102201101010 is a wasteful number, since it uses less digits than its factorization.

102201101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36631263 (or 36631260 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102201101010 its reverse (10101102201), we get a palindrome (112302203211).

The spelling of 102201101010 in words is "one hundred two billion, two hundred one million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 36631219 73262438 109893657 183156095 219787314 329680971 366312190 549468285 659361942 1098936570 1135567789 1648404855 2271135578 3296809710 3406703367 5677838945 6813406734 10220110101 11355677890 17033516835 20440220202 34067033670 51100550505 102201101010