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10133320303332 = 22321733162424189
BaseRepresentation
bin1001001101110101100011…
…1101010000001011100100
31022212201212111220101100200
42103131120331100023210
52312011014444201312
633315103313510500
72064052060255302
oct223353075201344
938781774811320
1010133320303332
113257576155196
121177aa4572430
1358674cba0885
1427065357b272
151288ce51a0dc
hex93758f502e4

10133320303332 has 36 divisors (see below), whose sum is σ = 25629562636860. Its totient is φ = 3375824323392.

The previous prime is 10133320303331. The next prime is 10133320303343. The reversal of 10133320303332 is 23330302333101.

10133320303332 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 3 + 20 + 303 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5568542770176 + 4564777533156 = 2359776^2 + 2136534^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 10133320303296 and 10133320303305.

It is not an unprimeable number, because it can be changed into a prime (10133320303331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81149707 + ... + 81274482.

Almost surely, 210133320303332 is an apocalyptic number.

10133320303332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10133320303332 is an abundant number, since it is smaller than the sum of its proper divisors (15496242333528).

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

10133320303332 is a wasteful number, since it uses less digits than its factorization.

10133320303332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162425932 (or 162425927 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 10133320303332 its reverse (23330302333101), we get a palindrome (33463622636433).

The spelling of 10133320303332 in words is "ten trillion, one hundred thirty-three billion, three hundred twenty million, three hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1733 3466 5199 6932 10398 15597 20796 31194 62388 162424189 324848378 487272567 649696756 974545134 1461817701 1949090268 2923635402 5847270804 281481119537 562962239074 844443358611 1125924478148 1688886717222 2533330075833 3377773434444 5066660151666 10133320303332