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20250135135 = 3354114832467
BaseRepresentation
bin10010110111000000…
…001000101001011111
31221021021012110011000
4102313000020221133
5312433013311020
613145222401343
71314550210566
oct226700105137
957237173130
1020250135135
11865174527a
123b11890253
131ba94669a9
14da15d8bdd
157d7bca090
hex4b7008a5f

20250135135 has 64 divisors (see below), whose sum is σ = 36918120960. Its totient is φ = 10525282560.

The previous prime is 20250135131. The next prime is 20250135149. The reversal of 20250135135 is 53153105202.

It is a happy number.

20250135135 is a `hidden beast` number, since 20 + 2 + 501 + 3 + 5 + 135 = 666.

It is not a de Polignac number, because 20250135135 - 22 = 20250135131 is a prime.

It is a super-2 number, since 2×202501351352 (a number of 21 digits) contains 22 as substring.

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

20250135135 is a modest number, since divided by 135135 gives 20250 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 20250135099 and 20250135108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20250135131) 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, 8207172 + ... + 8209638.

It is an arithmetic number, because the mean of its divisors is an integer number (576845640).

Almost surely, 220250135135 is an apocalyptic number.

20250135135 is a deficient number, since it is larger than the sum of its proper divisors (16667985825).

20250135135 is a wasteful number, since it uses less digits than its factorization.

20250135135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 20250135135 in words is "twenty billion, two hundred fifty million, one hundred thirty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 41 45 123 135 205 369 615 1107 1483 1845 2467 4449 5535 7401 7415 12335 13347 22203 22245 37005 40041 60803 66609 66735 101147 111015 182409 200205 303441 304015 333045 505735 547227 910323 912045 1517205 1641681 2730969 2736135 3658561 4551615 8208405 10975683 13654845 18292805 32927049 54878415 98781147 150001001 164635245 450003003 493905735 750005005 1350009009 2250015015 4050027027 6750045045 20250135135