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312030303113133 = 33119710831000837
BaseRepresentation
bin100011011110010100011011…
…1011000000100111110101101
31111220210210202022200100002000
41012330220313120010332231
5311344301030044110013
63023344424203122513
7122503305535635153
oct10674506730047655
91456723668610060
10312030303113133
1190471343548780
122abb5691213439
131051543cc07577
14570a4c0c033d3
152611956cce973
hex11bca37604fad

312030303113133 has 32 divisors (see below), whose sum is σ = 509490279419520. Its totient is φ = 187159694446080.

The previous prime is 312030303113131. The next prime is 312030303113153. The reversal of 312030303113133 is 331311303030213.

312030303113133 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 3 + 0 + 30 + 311 + 313 + 3 = 666.

It is not a de Polignac number, because 312030303113133 - 21 = 312030303113131 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 = 312030303113097 and 312030303113106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312030303113131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5415471610 + ... + 5415529227.

It is an arithmetic number, because the mean of its divisors is an integer number (15921571231860).

Almost surely, 2312030303113133 is an apocalyptic number.

312030303113133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312030303113133 is a deficient number, since it is larger than the sum of its proper divisors (197459976306387).

312030303113133 is a wasteful number, since it uses less digits than its factorization.

312030303113133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10831000954 (or 10831000948 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 312030303113133 its reverse (331311303030213), we get a palindrome (643341606143346).

The spelling of 312030303113133 in words is "three hundred twelve trillion, thirty billion, three hundred three million, one hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 11 27 33 97 99 291 297 873 1067 2619 3201 9603 28809 10831000837 32493002511 97479007533 119141009207 292437022599 357423027621 1050607081189 1072269082863 3151821243567 3216807248589 9455463730701 11556677893079 28366391192103 34670033679237 104010101037711 312030303113133