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10315241120300 = 2252167739835831
BaseRepresentation
bin1001011000011011010001…
…0010000110001000101100
31100112010102220000102010112
42112012310102012020230
52323001103211322200
633534431212155152
72113152201556004
oct226066422061054
940463386012115
1010315241120300
11331773a770606
1211a71b5468ab8
1359a952756bbc
142793904dd004
1512d4ca694535
hex961b448622c

10315241120300 has 72 divisors (see below), whose sum is σ = 22548607630080. Its totient is φ = 4095834465600.

The previous prime is 10315241120273. The next prime is 10315241120309. The reversal of 10315241120300 is 302114251301.

It is not an unprimeable number, because it can be changed into a prime (10315241120309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11923385 + ... + 12759215.

Almost surely, 210315241120300 is an apocalyptic number.

10315241120300 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 10315241120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11274303815040).

10315241120300 is an abundant number, since it is smaller than the sum of its proper divisors (12233366509780).

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

10315241120300 is a wasteful number, since it uses less digits than its factorization.

10315241120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836751 (or 836744 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 10315241120300 its reverse (302114251301), we get a palindrome (10617355371601).

The spelling of 10315241120300 in words is "ten trillion, three hundred fifteen billion, two hundred forty-one million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 334 668 739 835 1478 1670 2956 3340 3695 4175 7390 8350 14780 16700 18475 36950 73900 123413 246826 493652 617065 835831 1234130 1671662 2468260 3085325 3343324 4179155 6170650 8358310 12341300 16716620 20895775 41791550 83583100 139583777 279167554 558335108 617679109 697918885 1235358218 1395837770 2470716436 2791675540 3088395545 3489594425 6176791090 6979188850 12353582180 13958377700 15441977725 30883955450 61767910900 103152411203 206304822406 412609644812 515762056015 1031524112030 2063048224060 2578810280075 5157620560150 10315241120300