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102230321013 = 32371492060389
BaseRepresentation
bin101111100110101100…
…1101110011101110101
3100202212121101101111200
41133031121232131311
53133331430233023
6114544114323113
710246235251062
oct1371531563565
9322777341450
10102230321013
113a3a0395307
1217990889499
1398428c9212
144d3b351c69
1529d4e45743
hex17cd66e775

102230321013 has 24 divisors (see below), whose sum is σ = 152674899000. Its totient is φ = 65866483584.

The previous prime is 102230320957. The next prime is 102230321023. The reversal of 102230321013 is 310123032201.

102230321013 is a `hidden beast` number, since 102 + 230 + 321 + 0 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20558397924 + 81671923089 = 143382^2 + 285783^2 .

It is not a de Polignac number, because 102230321013 - 28 = 102230320757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102230321023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 980578 + ... + 1079811.

It is an arithmetic number, because the mean of its divisors is an integer number (6361454125).

Almost surely, 2102230321013 is an apocalyptic number.

It is an amenable number.

102230321013 is a deficient number, since it is larger than the sum of its proper divisors (50444577987).

102230321013 is a wasteful number, since it uses less digits than its factorization.

102230321013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060581 (or 2060578 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102230321013 its reverse (310123032201), we get a palindrome (412353353214).

The spelling of 102230321013 in words is "one hundred two billion, two hundred thirty million, three hundred twenty-one thousand, thirteen".

Divisors: 1 3 9 37 111 149 333 447 1341 5513 16539 49617 2060389 6181167 18543501 76234393 228703179 306997961 686109537 920993883 2762981649 11358924557 34076773671 102230321013