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10332011130020 = 2259718129424193
BaseRepresentation
bin1001011001011001101111…
…0110100110110010100100
31100120201201121202011200122
42112112123312212302210
52323234424322130040
633550243235501112
72114314603364426
oct226263366466244
940521647664618
1010332011130020
113323865a23078
1211aa4b5757798
1359c3c5bc2588
1427a101830816
1512db5ca8b1b5
hex9659bda6ca4

10332011130020 has 48 divisors (see below), whose sum is σ = 22042016815728. Its totient is φ = 4067600302080.

The previous prime is 10332011130011. The next prime is 10332011130029. The reversal of 10332011130020 is 2003111023301.

It is an interprime number because it is at equal distance from previous prime (10332011130011) and next prime (10332011130029).

It can be written as a sum of positive squares in 8 ways, for example, as 4561744158976 + 5770266971044 = 2135824^2 + 2402138^2 .

It is not an unprimeable number, because it can be changed into a prime (10332011130029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14360957 + ... + 15063236.

It is an arithmetic number, because the mean of its divisors is an integer number (459208683661).

Almost surely, 210332011130020 is an apocalyptic number.

10332011130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10332011130020 is an abundant number, since it is smaller than the sum of its proper divisors (11710005685708).

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

10332011130020 is a wasteful number, since it uses less digits than its factorization.

10332011130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29424480 (or 29424478 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10332011130020 its reverse (2003111023301), we get a palindrome (12335122153321).

The spelling of 10332011130020 in words is "ten trillion, three hundred thirty-two billion, eleven million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 97 181 194 362 388 485 724 905 970 1810 1940 3620 17557 35114 70228 87785 175570 351140 29424193 58848386 117696772 147120965 294241930 588483860 2854146721 5325778933 5708293442 10651557866 11416586884 14270733605 21303115732 26628894665 28541467210 53257789330 57082934420 106515578660 516600556501 1033201113002 2066402226004 2583002782505 5166005565010 10332011130020