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30011354132125 = 534140114603177
BaseRepresentation
bin1101101001011100100000…
…00110100010111010011101
310221021001112212111102200011
412310232100012202322131
512413201223124212000
6143455005321403221
76215151222046222
oct664562006427235
9127231485442604
1030011354132125
119620820016623
123448499939511
13139909b838822
1475a7b32c1949
153709e69bb2ba
hex1b4b901a2e9d

30011354132125 has 32 divisors (see below), whose sum is σ = 38463368946912. Its totient is φ = 23365081600000.

The previous prime is 30011354132063. The next prime is 30011354132129. The reversal of 30011354132125 is 52123145311003.

30011354132125 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 8454480860281 + 21556873271844 = 2907659^2 + 4642938^2 .

It is not a de Polignac number, because 30011354132125 - 29 = 30011354131613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30011354132129) 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, 5246464 + ... + 9356713.

It is an arithmetic number, because the mean of its divisors is an integer number (1201980279591).

Almost surely, 230011354132125 is an apocalyptic number.

It is an amenable number.

30011354132125 is a deficient number, since it is larger than the sum of its proper divisors (8452014814787).

30011354132125 is a wasteful number, since it uses less digits than its factorization.

30011354132125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14603634 (or 14603624 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 30011354132125 its reverse (52123145311003), we get a palindrome (82134499443128).

The spelling of 30011354132125 in words is "thirty trillion, eleven billion, three hundred fifty-four million, one hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 5 25 41 125 205 401 1025 2005 5125 10025 16441 50125 82205 411025 2055125 14603177 73015885 365079425 598730257 1825397125 2993651285 5855873977 14968256425 29279369885 74841282125 146396849425 240090833057 731984247125 1200454165285 6002270826425 30011354132125