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200323431100 = 225213220769821
BaseRepresentation
bin1011101010010000110…
…1001111101010111100
3201011001212212200120001
42322210031033222330
511240230244243400
6232005522204044
720321126032552
oct2724415175274
9634055780501
10200323431100
1177a58399831
12329a7ab3624
1315b76332020
1499a5033bd2
155326a60a6a
hex2ea434fabc

200323431100 has 72 divisors (see below), whose sum is σ = 468359273088. Its totient is φ = 73931001600.

The previous prime is 200323431083. The next prime is 200323431103. The reversal of 200323431100 is 1134323002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200323431103) 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, 2834190 + ... + 2904010.

It is an arithmetic number, because the mean of its divisors is an integer number (6504989904).

Almost surely, 2200323431100 is an apocalyptic number.

200323431100 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 200323431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234179636544).

200323431100 is an abundant number, since it is smaller than the sum of its proper divisors (268035841988).

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

200323431100 is a wasteful number, since it uses less digits than its factorization.

200323431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72055 (or 72048 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 200323431100 its reverse (1134323002), we get a palindrome (201457754102).

The spelling of 200323431100 in words is "two hundred billion, three hundred twenty-three million, four hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2207 4414 8828 11035 22070 28691 44140 55175 57382 69821 110350 114764 139642 143455 220700 279284 286910 349105 573820 698210 717275 907673 1396420 1434550 1745525 1815346 2869100 3491050 3630692 4538365 6982100 9076730 18153460 22691825 45383650 90767300 154094947 308189894 616379788 770474735 1540949470 2003234311 3081898940 3852373675 4006468622 7704747350 8012937244 10016171555 15409494700 20032343110 40064686220 50080857775 100161715550 200323431100