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51323202300 = 223521712178269
BaseRepresentation
bin101111110011000110…
…011110101011111100
311220110210122210221110
4233303012132223330
51320102214433200
635324430202020
73464560010256
oct576306365374
9156423583843
1051323202300
111a847678577
129b44053310
134abbc3c876
1426ac370cd6
151505b19b50
hexbf319eafc

51323202300 has 144 divisors (see below), whose sum is σ = 157378364640. Its totient is φ = 12868976640.

The previous prime is 51323202289. The next prime is 51323202311. The reversal of 51323202300 is 320232315.

It is an interprime number because it is at equal distance from previous prime (51323202289) and next prime (51323202311).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6202566 + ... + 6210834.

It is an arithmetic number, because the mean of its divisors is an integer number (1092905310).

Almost surely, 251323202300 is an apocalyptic number.

51323202300 is a gapful number since it is divisible by the number (50) 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 51323202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78689182320).

51323202300 is an abundant number, since it is smaller than the sum of its proper divisors (106055162340).

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

51323202300 is a wasteful number, since it uses less digits than its factorization.

51323202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9520 (or 9513 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 51323202300 its reverse (320232315), we get a palindrome (51643434615).

The spelling of 51323202300 in words is "fifty-one billion, three hundred twenty-three million, two hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1217 1275 1700 2434 2550 3651 4868 5100 6085 7302 8269 12170 14604 16538 18255 20689 24340 24807 30425 33076 36510 41345 41378 49614 60850 62067 73020 82690 82756 91275 99228 103445 121700 124035 124134 140573 165380 182550 206725 206890 248070 248268 281146 310335 365100 413450 413780 421719 496140 517225 562292 620175 620670 702865 826900 843438 1034450 1240350 1241340 1405730 1551675 1686876 2068900 2108595 2480700 2811460 3103350 3514325 4217190 6206700 7028650 8434380 10063373 10542975 14057300 20126746 21085950 30190119 40253492 42171900 50316865 60380238 100633730 120760476 150950595 171077341 201267460 251584325 301901190 342154682 503168650 513232023 603802380 684309364 754752975 855386705 1006337300 1026464046 1509505950 1710773410 2052928092 2566160115 3019011900 3421546820 4276933525 5132320230 8553867050 10264640460 12830800575 17107734100 25661601150 51323202300