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23203101300 = 22352412716961
BaseRepresentation
bin10101100111000000…
…110011101001110100
32012220001201200012020
4111213000303221310
5340004443220200
614354230553140
71450665051441
oct254700635164
965801650166
1023203101300
119927600485
1245b68087b0
13225a190c52
1411a187a9c8
1590c07cea0
hex567033a74

23203101300 has 144 divisors (see below), whose sum is σ = 69035414784. Its totient is φ = 6013440000.

The previous prime is 23203101281. The next prime is 23203101331. The reversal of 23203101300 is 310130232.

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 23203101300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3329820 + ... + 3336780.

Almost surely, 223203101300 is an apocalyptic number.

23203101300 is a gapful number since it is divisible by the number (20) 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 23203101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34517707392).

23203101300 is an abundant number, since it is smaller than the sum of its proper divisors (45832313484).

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

23203101300 is a wasteful number, since it uses less digits than its factorization.

23203101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290 (or 7283 counting only the distinct ones).

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

Adding to 23203101300 its reverse (310130232), we get a palindrome (23513231532).

The spelling of 23203101300 in words is "twenty-three billion, two hundred three million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 271 300 410 492 542 615 813 820 1025 1084 1230 1355 1626 2050 2460 2710 3075 3252 4065 4100 5420 6150 6775 6961 8130 11111 12300 13550 13922 16260 20325 20883 22222 27100 27844 33333 34805 40650 41766 44444 55555 66666 69610 81300 83532 104415 111110 133332 139220 166665 174025 208830 222220 277775 285401 333330 348050 417660 522075 555550 570802 666660 696100 833325 856203 1044150 1111100 1141604 1427005 1666650 1712406 1886431 2088300 2854010 3333300 3424812 3772862 4281015 5659293 5708020 7135025 7545724 8562030 9432155 11318586 14270050 17124060 18864310 21405075 22637172 28296465 28540100 37728620 42810150 47160775 56592930 77343671 85620300 94321550 113185860 141482325 154687342 188643100 232031013 282964650 309374684 386718355 464062026 565929300 773436710 928124052 1160155065 1546873420 1933591775 2320310130 3867183550 4640620260 5800775325 7734367100 11601550650 23203101300