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10130402324133 = 3371337111434537
BaseRepresentation
bin1001001101101010101100…
…0010000010111010100101
31022212110100011012200102000
42103122223002002322211
52311434030443333013
633313501555235513
72063616545663310
oct223325302027245
938773304180360
1010130402324133
113256309016233
12117740b2a8b99
135863a64a6470
14270457c05977
151287ad278973
hex936ab082ea5

10130402324133 has 64 divisors (see below), whose sum is σ = 18970615749120. Its totient is φ = 5199089711616.

The previous prime is 10130402324101. The next prime is 10130402324143. The reversal of 10130402324133 is 33142320403101.

It is a happy number.

10130402324133 is a `hidden beast` number, since 1 + 0 + 1 + 304 + 0 + 2 + 324 + 1 + 33 = 666.

It is not a de Polignac number, because 10130402324133 - 25 = 10130402324101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10130402324097 and 10130402324106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130402324143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55626360 + ... + 55808177.

It is an arithmetic number, because the mean of its divisors is an integer number (296415871080).

Almost surely, 210130402324133 is an apocalyptic number.

10130402324133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10130402324133 is a deficient number, since it is larger than the sum of its proper divisors (8840213424987).

10130402324133 is a wasteful number, since it uses less digits than its factorization.

10130402324133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111434603 (or 111434597 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10130402324133 its reverse (33142320403101), we get a palindrome (43272722727234).

The spelling of 10130402324133 in words is "ten trillion, one hundred thirty billion, four hundred two million, three hundred twenty-four thousand, one hundred thirty-three".

Divisors: 1 3 7 9 13 21 27 37 39 63 91 111 117 189 259 273 333 351 481 777 819 999 1443 2331 2457 3367 4329 6993 10101 12987 30303 90909 111434537 334303611 780041759 1002910833 1448648981 2340125277 3008732499 4123077869 4345946943 7020375831 10140542867 12369233607 13037840829 21061127493 28861545083 30421628601 37107700821 39113522487 53600012297 86584635249 91264885803 111323102463 160800036891 259753905747 273794657409 375200086079 482400110673 779261717241 1125600258237 1447200332019 3376800774711 10130402324133