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13023120300 = 22352172150209
BaseRepresentation
bin11000010000011110…
…10000101110101100
31020121121022001112220
430020033100232230
5203132404322200
65552134355340
7640503460521
oct141017205654
936547261486
1013023120300
115583237043
1226354bbb50
1312c7108458
148b7867148
155134bc4a0
hex3083d0bac

13023120300 has 108 divisors (see below), whose sum is σ = 40027359960. Its totient is φ = 3268526080.

The previous prime is 13023120287. The next prime is 13023120323. The reversal of 13023120300 is 302132031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13023120300.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11596 + ... + 161804.

Almost surely, 213023120300 is an apocalyptic number.

13023120300 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 13023120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20013679980).

13023120300 is an abundant number, since it is smaller than the sum of its proper divisors (27004239660).

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

13023120300 is a wasteful number, since it uses less digits than its factorization.

13023120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150260 (or 150236 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13023120300 its reverse (302132031), we get a palindrome (13325252331).

The spelling of 13023120300 in words is "thirteen billion, twenty-three million, one hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 289 300 340 425 510 578 850 867 1020 1156 1275 1445 1700 1734 2550 2890 3468 4335 5100 5780 7225 8670 14450 17340 21675 28900 43350 86700 150209 300418 450627 600836 751045 901254 1502090 1802508 2253135 2553553 3004180 3755225 4506270 5107106 7510450 7660659 9012540 10214212 11265675 12767765 15020900 15321318 22531350 25535530 30642636 38303295 43410401 45062700 51071060 63838825 76606590 86820802 127677650 130231203 153213180 173641604 191516475 217052005 255355300 260462406 383032950 434104010 520924812 651156015 766065900 868208020 1085260025 1302312030 2170520050 2604624060 3255780075 4341040100 6511560150 13023120300