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13020230100 = 22352229189523
BaseRepresentation
bin11000010000001000…
…01111000111010100
31020121101212012221110
430020010033013110
5203131134330400
65551552415020
7640440062343
oct141004170724
936541765843
1013020230100
115581642649
122634547470
1312c6635a87
148b7313b5a
155130eae50
hex30810f1d4

13020230100 has 72 divisors (see below), whose sum is σ = 37836571360. Its totient is φ = 3456881280.

The previous prime is 13020230089. The next prime is 13020230101. The reversal of 13020230100 is 103202031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020230101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26062 + ... + 163461.

Almost surely, 213020230100 is an apocalyptic number.

13020230100 is a gapful number since it is divisible by the number (10) 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 13020230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18918285680).

13020230100 is an abundant number, since it is smaller than the sum of its proper divisors (24816341260).

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

13020230100 is a wasteful number, since it uses less digits than its factorization.

13020230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189769 (or 189762 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13020230100 its reverse (103202031), we get a palindrome (13123432131).

The spelling of 13020230100 in words is "thirteen billion, twenty million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 229 300 458 687 916 1145 1374 2290 2748 3435 4580 5725 6870 11450 13740 17175 22900 34350 68700 189523 379046 568569 758092 947615 1137138 1895230 2274276 2842845 3790460 4738075 5685690 9476150 11371380 14214225 18952300 28428450 43400767 56856900 86801534 130202301 173603068 217003835 260404602 434007670 520809204 651011505 868015340 1085019175 1302023010 2170038350 2604046020 3255057525 4340076700 6510115050 13020230100